The sides of an equilateral triangle are 8 units long. What is the length of the altitude of the triangle? 5 StartRoot 2 EndRoot units 4 StartRoot 3 EndRoot units 10 StartRoot 2 EndRoot units 16 StartRoot 5 EndRoot units
Answers
Answer:
The altitude is 4√3 units long
Step-by-step explanation:
Since the triangle is equilateral, all the sides will measure 8 units.
Now to find the altitude, we drop a line from the middle vertex to the horizontal line below and this splits the horizontal line into 2 equal parts which measures 4 units exactly.
Now we will be having 2 right-angled triangles, with the hypotenuse of each measuring 8 units and the other side measuring 4 units
Mathematically to find the altitude, we can solve using Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let’s call the altitude h;
8^2 = h^2 + 4^2
64 = h^2 + 16
h^2 = 64-16
h^2 = 48
h= √(48)
h = 4 √3 units
Answer:
THE ANSWER IS B
Step-by-step explanation:
Related Questions
If h is a function and -7 is an element in its domain, then which of the following statements correctly describes the expression h(-7)?
Answers
Answer:
The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.
Step-by-step explanation:
In function f(5), f(5) means the value of the function at x = 5.
Answer:
The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.
Answer:
The expression h(-7) represents the output of h corresponding to the input of -7.
Step-by-step explanation:
...
Which of the following is the solution to the following system of inequalities? Let the green region represent the answer region.
Answers
Answer:
Option (A)
Step-by-step explanation:
There are two inequalities drawn on a graph.
x + 2y ≤ 4 ------(1)
3x - y ≤ 2 -------(2)
Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".
(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)
Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".
(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)
Solution area of these inequalities will be the common area shaded in green.
Graph given in Option (A) will be the answer.
Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B. (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.
Answers
Answer :
1 (i). [tex]slope \: = - \frac{1}{6} [/tex](ii). [tex]midpoints \: = (1 \: \: \frac{17}{2} )[/tex](iii) . [tex]distance \: = \sqrt{37} [/tex]2(i). [tex]slope \: = 2[/tex][tex]gradient \: = - \frac{1}{2} [/tex]I Hope it helps :)
5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the direction and speed of the boat.
Answers
Answer:
Direction of the boat is 43.05° and the speed is 21.66 knot
Step-by-step explanation:
yacht speed = 20 knots
yacht bearing = 185° = 85° below the negative horizontal x-axis
wind speed = 15 knots
wind bearing = 290° = 20° above the negative horizontal x-axis
we find the x and y components of the boat velocities
for yacht,
x component = -20 cos 85° = -1.74 knots
y component = -20 sin 85° = -19.92 knots
for the wind,
x component = -15 cos 20° = -14.09 knots
y component = 15 sin 20° = 5.13 knots
total x component Vx = -1.74 + (-14.09) = -15.83 knots
total y component Vy = -19.92 + 5.13 = -14.79 knots
Resultant speed of the boat = [tex]\sqrt{Vx^{2} + Vy^{2} }[/tex]
==> [tex]\sqrt{15.83^{2} + 14.79^{2} }[/tex] = 21.66 knot
direction of boat = [tex]tan^{-1} \frac{Vy}{Vx}[/tex]
==> [tex]tan^{-1} \frac{14.79}{15.83}[/tex] = 43.05°
Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes. Which comparison of the detergents is accurate? Detergent A uses exactly 1 fluid ounce per load more than detergent B. Detergent A uses exactly 1 fluid ounce per load less than detergent B. Detergent A uses less than 1 fluid ounce per load more than detergent B. Detergent A uses less than 1 fluid ounce per load less than detergent B.
Answers
Answer: Detergent A uses exactly 1 fluid ounce per load more than detergent B
Step-by-step explanation:
Given the following :
DETERGENT A:
48 fluid ounces
Cleans 16 loads of dishes
DETERGENT B:
76 fluid ounces
Cleans 38 loads of dishes
DETERGENT A:
Fluid ounces per load :
48 / 16 = 3 (3 fluid ounce per load)
DETERGENT B:
Fluid ounce per load :
76 / 38 = 2 ( 2 fluid ounce per load)
3 - 2 = 1 fluid ounce per load.
Answer:
Detergent A uses exactly 1 fluid ounce per load more than detergent B
Step-by-step explanation:
Speedy texting 3a: Lydia wants to text at least 8 characters per second, like James, then the equation would be 10r+4=8 could be used to model this situation. Solve this equation for R. 3b: Explain what the variable r represents in the equation given in question 3a.
Answers
Answer:
Speedy Texting
3a. In the equation, 10r + 4 = 8
r = 0.4 or 40%
3b. The variable r represents an independent variable in the equation. An independent variable is a variable that is not dependent on another variable, instead other variables depend on it. Whatever its value is changes the value of other variables in the equation.
Step-by-step explanation:
a) Solving the equation:
10r + 4 = 8
10r = 8 - 4
10r = 4
r = 4/10 = 0.4 or 40%
I COULD REALLY USE THE HELP Complete the following problems. Show all your work. Round all side lengths to the nearest tenth and
all degrees to the nearest degree. When applicable, leave your answers in radical form.
1. Name the following sides of the triangle.
Answers
Answer:
see attachment
Step-by-step explanation:
When there are quite a few similar calculations to do, it can work well to let a spreadsheet do them.
5. The Pythagorean theorem applies for finding the unknown side:
DF = √(FE^2 -DE^2) = 3.0
The angles can be found using any of the trig functions. Since we were given the length of a side and the hypotenuse, we choose to use the sine function:
Sin = Opposite/Hypotenuse
opposite angle = arcsin(Opposite/Hypotenuse)
In the spreadsheet, Leg 1 is the given leg, and Leg 2 is the computed leg. The associated Angle 1 and Angle 2 are opposite those legs:
∠F = 59°
∠E = 31°
__
6. In this section, there are two kinds of problems. One has the hypotenuse and an angle given (HA problems). The other has a leg and its opposite angle given (LA problems).
HA problems (6c, 6e, 6f)
We call the given angle "Angle 1" and compute the other angle as its complement. The side opposite Angle 1 is Leg 1. It is computed using the sine relation above.
Opposite = Hypotenuse×Sin
x = 16·sin(60°) = 13.9 . . . . . . . . . . for problem 6c
Then the Adjacent leg is found using the cosine relation:
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse×Cos
y = 16·cos(60°) = 8.0 . . . . . . . . . . for problem 6c
As in problem 5, the missing angle is computed as the complement of the given angle.
missing angle = 90° -60° = 30° . . . . . . for problem 6c
__
LA problems (6a, 6b, 6d)
The calculations for these problems are similar, except that we compute the hypotenuse first using the sine relation.
Hypotenuse = Opposite/Sin
u = 2/sin(30°) = 4.0 . . . . . . . for problem 6a
As in the above problems, we computed the missing leg using the cosine function and the hypotenuse.
v = 4.0·cos(30°) = 3.5 . . . . . for problem 6a
And the missing angle is computed the same as for HA problems.
missing angle = 90° -30° = 60° . . . . for problem 6a
_____
The computations are done in the spreadsheet using the formulas described above. The matchup of Leg1, Leg2, Angle1, and Angle2 to the problem variables and vertices is left to the student. As we said, Leg1 and Angle1 are opposite each other, and correspond to the given leg and/or angle.
_____
Comment on radians
When using sine and cosine functions in a spreadsheet, one needs to be aware that their arguments must be in radians. Fortunately, the spreadsheet provides functions for converting angles back and forth between degrees and radians. Similarly, the arcsin function used in problem 5 gives its result in radians, so requires conversion to degrees.
1. Analyze the following pattern: 1, 2, 5, 10, 17,
Answers
Answer:
n² - 2n + 2
Step-by-step explanation:
The difference in the pattern are odd numbers.
2 - 1 = 1
5 - 2 = 3
10 - 5 = 5
17 - 10 = 7
So there is a -2n in the nth term.
If we subtract 1 on each term.
0, 1, 4, 9, 16
We get whole squares.
So there is a n² in the nth term.
(1)² - 2(1)+ c = 1
1 - 2 + c = 1
-1 + c = 1
c = 2
The nth term is:
n²-2n+2
Deb works 19.5 hours at a car wash every week. She makes $12.80 per hour. Each week, she puts 1 4 of her earnings into her savings account. How much money does Deb put into her savings account each week?
Answers
Answer:
She will save 62.40
Step-by-step explanation:
First find the total amount she makes
hours times hourly rate
19.5 * 12.80
249.60
She saves 1/4 of this, so multiply by 1/4
1/4 * 249.60
62.40
She will save 62.40
Answer:
62.40
Step-by-step explanation:
There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
A sweet is chosen at random from the bag.
Here is a probability scale:
А в с
a) Which letter shows the probability of choosing a yellow sweet?
b) Which letter shows the probability of choosing a sweet that is not orange?
Answers
Answer:
a) 0.3.
b) 1.
Step-by-step explanation:
Note: The scale of probability is not given properly. So, the probability of following events are given below:
It is given that,
Total number of sweets in a bag = 10
Red sweets = 4
Green sweets = 2
Yellow sweets = 3
Purple sweet = 1
a)
We need to find the probability of choosing a yellow sweet.
[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(Y)=\dfrac{3}{10}[/tex]
[tex]P(Y)=0.3[/tex]
Therefore, the probability of choosing a yellow sweet is 0.3.
b)
We need to find the probability of choosing a sweet that is not orange.
[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(O')=1-\dfrac{0}{10}[/tex]
[tex]P(O')=1[/tex]
Therefore, the probability of choosing a sweet that is not orange is 1.
Probabilities are used to determine the chances of events.
The probability of choosing a yellow sweet is 0.3The probability of choosing a sweet that is not orange is 0The probability scale is not given; so, I will give a general explanation.
The given parameters are:
[tex]Red = 4[/tex]
[tex]Green = 2[/tex]
[tex]Yellow= 3[/tex]
[tex]Purple = 1[/tex]
[tex]Total = 10[/tex]
(a) The probability of choosing a yellow sweet
This is calculated using:
[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]
So, we have:
[tex]P(Yellow) = \frac{3}{10}[/tex]
Divide 3 by 10
[tex]P(Yellow) =0.3[/tex]
Hence, the probability of choosing a yellow sweet is 0.3
(b) The probability of choosing a sweet that is not orange
This is calculated using:
[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]
So, we have:
[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]
Divide 0 by 10
[tex]P(Not\ Orange) = 1 - 0[/tex]
[tex]P(Not\ Orange) = 1[/tex]
Hence, the probability of choosing a sweet that is not orange is 0
Read more about probabilities at:
https://brainly.com/question/251701
The following quadrilateral is a parallelogram. An illustration of parallelogram MLKJ. Angle L measures 6x+18 degrees and angle J measures 8x-2 degrees. The measure of angle L is ___ degrees.
Answers
Answer:
m∠L = 78°
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides are equal and parallel.
2). Diagonals are equal in measure .
3). Opposite angles are equal in measure.
4). Consecutive angles are supplementary
5). Diagonals bisect each other.
By the property number (3),
m∠J ≅ m∠L
(8x - 2) = (6x + 18)
8x - 6x = 18 + 2
2x = 20
x = 10
Therefore, m∠L = (6x + 18)
= 60 + 18
= 78°
pwease jelp, I tried
Four circles of equal radii are centered at the four vertices of a square. These 4 circles touch a fifth circle of
equal radius placed inside this square. The ratio of the shaded area of the circles to the un-shaded area of the
circles is....
A) 5:2
B) 2:3
Ø 3:2
D) 2:5
Answers
Answer:
B. 2:3
Step-by-step explanation:
It's easier to see when counting by quarters of a circle instead of a whole circle.
We start with the shaded. We know the fully shaded one has 4 quarters and we can count 4 more surrounding it. That's a total of 8. Since there are 4 quarters in each circle, we can divide it by 4 to get 2 full circles that are shaded.
Next is the white, they come in groups of 3 quarters since one of the quarters are shaded. There are 4 groups of these so we can do 3x4 to figure out the total number (or just count them out). We get a total of 12 white quarters. Divide by 4, we have 3 full white circles.
The ratio is 2:3
The ratio of the shaded area of the circles to the un-shaded area of the circles is 2:3. Option B is correct.
The formula for calculating the area of a circle is expressed as:
A = πr²
Let the area of the shaded part be [tex]A_s[/tex] and the area of the unshaded part be [tex]A_u[/tex]
The area of the shaded part is 2 circles while the area of the total unshaded part is 3 circles.
[tex]A_s = 2(\pi r^2)[/tex] and [tex]A_u = 3(\pi r^2)[/tex]
Taking the ratios of the areas
[tex]\frac{A_s}{A_u}=\frac{2 \pi r^2}{3 \pi r^2}\\ \frac{A_s}{A_u}=\frac{2}{3}[/tex]
Hence the ratio of the shaded area of the circles to the un-shaded area of the circles is 2:3
Learn more here: https://brainly.com/question/23388485
identify the area of the trapezoid. options: 299cm^2 325cm^2 425cm^2 399cm^2
Answers
Answer:399
Step-by-step explanation:
((a+b)/2) * h
((13+25)/2) * 21
399
<!> Brainliest is appreciated! <!>
The formula is: (Top + Bottom)(height)/2
Therefore:
(13 + 25)(21)/2
= (38)(21)/2
= 798/2
= 399
Help Find the lateral area of this pyramid whose base is an equilateral triangle. Its slant height is 14 ft and the length of each side of the triangular base is 6 ft. [? ] ft
Answers
Answer:
168 ft²
Step-by-step explanation:
The equation for the lateral area of a square pyramid is LA = (Pl/2)
Plug in the values LA = (24(14)) / 2
LA = 336/2
LA = 168 ft²
The lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.
What is the lateral area of a triangular pyramid?The lateral surface area of a triangular pyramid is 1⁄2(perimeter of the base × slant height) which further becomes 3⁄2(side × slant height).
Given that, slant height is 14 ft and the length of each side of the triangular base is 6 ft.
The equation for the lateral area of a square pyramid is 3/2 (6×14)
= 3×3×14
= 126 square feet
Therefore, the lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.
Learn more about the lateral surface area pyramid here:
https://brainly.com/question/16493393.
#SPJ5
plzz help on Question B nd C plzz
Answers
Answer:
see explanation
Step-by-step explanation:
(b)
The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is
x = - 1 and x = 3
(c)
f(0) is the point on the y- axis where the graph crosses, that is 3, thus
f(0) = 3
Abel’s age in 2019 will be equal to the sum of the digits of his year of birth. If Abel is an adult, how old is Abel now?
Answers
Answer:
23
Step-by-step explanation:
If Abel was born in 1994, in 2019 he would be 23.
1+9+9+4=23
A farmer plans to install solar collection panels to provide winter heating for the livestock. The
most efficient panel angle for winter heating in the farm's region is 60° relative to ground level. If
an individual panel is 67 inches (in) long and installed on the ground according to these
instructions, what is the height, in in, of the upper edge above the ground?
Answers
Answer:
58 inches
Step-by-step explanation:
This is a right angled triangle. We would use Trigonometric function of Sine to solve the question
θ = 60°
From the above question, the following values were obtained:
Hypotenuse = 67 inches long
The height in the upper edge above the ground = Opposite side
Sin θ = Opposite/ Hypotenuse
Sin 60° = Opposite/67 inches
Cross Multiply = Sin 60° × 67 inches
= 58.023702054 inches
≈ 58 inches
Therefore, the height in inches of the upper edge is 58 inches
At the city museum, child admission is $6.20 and adult admission is $9.50. On Friday, tickets were sold for a total sales of $1082.00. How many child tickets were sold that day?
Answers
Answer:
98child tickets were sold that day
Step by step Explanation:
Let the number of children= A of the number of adult
Then
6.20C + 9.50A = 1082.0
From the question it was said that four times as many adult tickets as child tickets were sold which implies that number of adult was FOUR times the children, then we can say
A= 4C
Then substitute into the above equation
6.20C + 9.50A = 1082.0
6.20C + 9.50(4C) = 1082.0
6.20C + 38C= 1082.0
44.2C =1082.0
C= 24.48
But we know that
A= 4C
A=4* 24.48
A= 97.9
Therefore ,98child tickets were sold that day
Write the following using algebraic notation, using the letter x for any
unknown numbers
I think of a number, add one, then double the result.
Answers
Answer:
x+1=x *x
Step-by-step explanation:
Answer:
x+1= x*x
Step-by-step explanation:
hope this helps
A paint mixer calls for 3 parts of white paint to 8 parts of red paint to make pink. How many parts of red paint would you mix with 12 parts of white paint to get the same shade of pink?
Answers
Answer: 32 parts red
Step-by-step explanation:
3 parts white : 8 parts red
12 parts white : ?
12/3 x 8 = 32 parts red
Answer:
32 parts
Step-by-step explanation:
We can use ratios to solve
3 white 12 white
---------------- = -----------------
8 red x red
Using cross products
3x = 8*12
3x = 96
Divide each side by 3
3x/3 =96/3
x= 32
What number can be used to complete the volume statement for the cone? A cone with height 4 meters and diameter 3 meters.
Answers
Step-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have
[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]
We have everything we need to calculate the volume of the cone.
[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]
If we want to get the approximate volume, we must use the approximation of the number π.
[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]
[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]
Answer:
The person above me is wrong, the answer is 3
Step-by-step explanation:
I got it right on the test
need this ASAP. pls answer this question
Answers
Answer:
this is ur answer so memories
The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square? 16 (5 minus 4 y): Each side measures 5 minus 4 y units. 16 y (5 minus 4): Each side measures 5 minus 4 units. 4 (20 minus 16 y): Each side measures 20 minus 16 y units. 4 y (20 minus 16): Each side measures 20 minus 16 units.
Answers
Answer: 4 (20 minus 16 y): Each side measures 20 minus 16 y units.
Step-by-step explanation:
Hi, to answer this question we have to know the formula of the perimeter of a square:
Perimeter = side length x 4
Since:
p = 80-64y = s x 4
Solving for s (side length)
80-64y /4 = s
s = 20- 16 y
So, the correct option is:
4 (20 minus 16 y): Each side measures 20 minus 16 y units.
Feel free to ask for more if needed or if you did not understand something.
Answer:
i believe its C
Step-by-step explanation:
CaC(s) + H2O(l) > Ca(OH)2(s): triangle H = -65.2kJ
Answers
Answer:
Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)
Step-by-step explanation:
Answer on Question # 55533 - Chemistry - General chemistry
Question:
1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1
kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction
N2O(g) + NO2(g) = 3 NO(g); Show your work.
2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the
following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):
CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ
3. Using average bond enthalpies, predict which of the following reactions will be most
exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +
2 OF2(g)
Solution
1)
N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)
2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)
2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)
2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)
N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ
2)
CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ
ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);
ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn
ΔHf°(C2H2) = 227.4 kJ/mol
ΔHf°(Ca(OH)2) = -985.2 kJ/mol
ΔHf°(H2O) = -285.8 kJ/mol
ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol
3)
a) C(g) + 2 F2(g) = CF4(g)
b) CO(g) +3 F2(g) = CF4(g) + OF2(g)
c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)
C-F bond enthalpy 440 kJ/mol
C=O bond enthalpy in carbon dioxide 805 kJ/mol
C=O bond enthalpy in carbon monoxide 1077 kJ/mol
O-F bond enthalpy 184 kJ/mol
F-F bond enthalpy 153 kJ/mol
a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic
b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ
c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ
Which of the following is a parent function?
Answers
Answer:
B
Step-by-step explanation:
A parent function is the simplest function that still satisfies the definition of a certain type of function. One of those functions is exponential, which is b.
Option (B) will be the correct option.
Definition of a parent function:A parent function is simplest function which represents the entire family of that kind of functions.
We will check each option given for the definition of a parent function.
Option (A)
[tex]f(x)=-2^{x+1}[/tex]
Parent function will be,
[tex]f(x)=2^x[/tex]
Option (B),
[tex]f(x)=4^x[/tex]
It's a simplest form of an exponential function.
Therefore, it's a parent function.
Option (C),
[tex]f(x)=e^{3x}-2[/tex]
Parent function → [tex]f(x)=e^{3x}[/tex]
Option (D),
[tex]f(x)=4x^2[/tex]
Parent function → [tex]f(x)=x^2[/tex]
Learn more about the parent function and the transformation here,
https://brainly.com/question/11474649?referrer=searchResults
3x square + 4 x minus 15 is equals to zero
Answers
Answer:
x = 5/3 or x = -3
Step-by-step explanation:
3x² + 4x - 15 = 0
Factor left side.
(3x - 5)(x + 3) = 0
Set factors equal to 0.
3x - 5 = 0
3x = 5
x = 5/3
x + 3 = 0
x = -3
Answer:
x = -3 OR x = 5/3
Step-by-step explanation:
=> [tex]3x^2+4x-15 = 0[/tex]
Using mid term break formula
=> [tex]3x^2+9x-5x-15 = 0[/tex]
=> 3x(x+3)-5(x+3) = 0
Taking x-3 common
=> (x+3)(3x-5) = 0
Either
x+3 = 0 OR 3x-5 = 0
x = -3 OR x = 5/3
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly
cost for x movie rentals?
2.95x+39.95
O 39.95x+2.95
O 2.95x-39.95(12)
2.95x+39.95(12)
first answer gets brainliest if you hurry make the answer simple and short no explanation required
Answers
Answer:
2.95x+39.95(12).
Step-by-step explanation:
Hope this helps!
Answer:
D
Step-by-step explanation:
hope this helps
A triangle has vertices at (4.-2), (2.2), and (4.6). What are the vertices of the image of the triangle after applying the
translation (x, y)=(x - 1, y + 2)?
Answers
Answer:
see explanation
Step-by-step explanation:
The translation rule (x, y ) → (x - 1, y + 2 )
Means subtract 1 from the original x- coordinate and add 2 to the original y- coordinate, thus
(4, - 2 ) → (4 - 1, - 2 + 2 ) → (3, 0 )
(2, 2 ) → (2 - 1, 2 + 2 ) → (1, 4 )
(4, 6 ) → (4 - 1, 6 + 2 ) → (3, 8 )
Simplify the ratio 5m:240cm
Answers
Answer:
To simplify the ratio make sure that the units are the same
5m:240cm
Change the meters into centimeters
That's
1m = 100cm
5m = 500cm
So we have
500cm:240cm
500/240
= 25/12
= 25:12
Hope this helps
Answer:
25:12
Step-by-step explanation:
First you have to convert both amounts into the same unit. So;
5m × 100 = 500 cm
We're multiplying by 100 because a metre is 100 times bigger than 1 cm.
This changes the ratio from 5:240 to 500:240, which makes it easier to get to your end result.
Now, find the Highest Common Factor of both 500 and 240 - much like you do when simplifying fractions.
Factors of 240 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240.
Factors of 500 = 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 and 500.
We then divide both numbers by the HCF, which we've just figured out is 20;
240 ÷ 20 = 12
500 ÷ 20 = 25
And there's your answer, 25:12
3. Two-thirds of a number plus 4 is 76. What is the number?
Answers
Answer:
108
Step-by-step explanation:
2/3x+4=76
2/3x=72
x=72*3/2
x=108
Answer:
Do the opposite of what they say
76 - 4 = 72
72 / 2/3 = 72 x 3 / 2 = 216 / 2 = 108
108 is the number
now to double check
108 x 2/3 = 216 / 3 = 72
72 + 4 = 76
108 is the number
Hope this helps
Step-by-step explanation: