Answer:
Option (D)
Step-by-step explanation:
If the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are lying of the line.
Slope of the line represented by the function 'f' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Two points are lying on the line are (-2, 4) and (0, -2).
Slope of the line passing through these points 'm' = [tex]\frac{4+2}{-2-0}[/tex]
m = -3
Y-intercept of the line 'b' = -2 [From the graph]
Therefore, equation of the function will be,
f(x) = (-3)x - 2
f(x) = -3x - 2
Similarly, for other function represented by the line in red,
Slope of the line passing through (-6, 0) and (0, 6) = [tex]\frac{6-0}{0+6}[/tex]
m' = 1
Y-intercept of g(x) = 5 [From the graph]
Equation that represents the function g(x) = 1.x + 5
g(x) = x + 5
For g(x) = f(x)
-3x - 2 = x + 6
-3x - x = 2 + 6
-4x = 8
x = -2
Therefore, for x = -2 both the functions will have the value.
f(-2) = g(-2)
Option (D) will be the answer.
help me is due today. I will give brainliest if you answer first and if it is correct;)
Answer:
a) is correct3n + 5
1. Substitute the numbers
3(5) + 5 = 15 + 5 = 20
2. Substitute the second number
3(6) + 5 = 18 + 5 = 23
b) Numbers are 8 and 16.This is because I realized I got the number of 4 last because I did 1*2 = 2.
Then I did 2*2 = 4.
So you have to multiply by two to get the next number. Or you can put it to the 4th or 5th exponent of 2.
1. 1
2. 1*2 = 2
3. 2*2 = 4
4. 4*2 = 85. 8*2 = 16The shape of a ball is circle true or false
Answer:
False
Step-by-step explanation:
A ball is a three dimensional object and it is spherical in shape.
Answer:
A ball is spherical
it's shaped like a sphere
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
Answer:
[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]
Step-by-step explanation:
The formula of a Surface Area of a rectangular prisms:
[tex]SA=2(lw+lh+wh)[/tex]
l - length
w - width
h - height
We have:
[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]
Substitute:
[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]
in an abc triangle, the hypotenuse is 10 and the other sides are x, the measurement of angle B is 90 deg, what is the value of x
Answer:
x = [tex]5\sqrt{2}[/tex].
Step-by-step explanation:
The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.
Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).
Since the hypotenuse is 10, and the side length is x, we can make a proportion.
[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]
[tex]x\sqrt{2}[/tex] = 10
x = [tex]\frac{10}{\sqrt{2} }[/tex]
x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]
x = [tex]\frac{10\sqrt{2} }{2}[/tex]
x = [tex]5\sqrt{2}[/tex]
Hope this helps!
what are the roots of the polynomial equation x⁴+x³=4x²+4x? use the graphing calculator and a system of equations.
-2,-1,0,2
-2,0,1,2
-1,0
0,1
Answer: A
Step-by-step explanation:
What is the value of x?
Answer:
The answer is option C.
Step-by-step explanation:
Angles in a triangle add up to 180°
To find x add up all the angles in the triangle and subtract it from 180°
Thus
x + 95 + 57 = 180
x = 180 - 152
x = 28°
Hope this helps
Which equations represent the line that is parallel to 2x-7y=9 and passes through the point
(5-3) ? Select two options.
Answer:
e. 2x - 7y = 31.
Step-by-step explanation:
If you want a line parallel to the equation, the line must have the same slope.
2x - 7y = 9
-7y = -2x + 9
y = 2/7x - 9/7
You are looking for a line where the slope is 2/7.
a. Slope is 7/2.
b. Slope is -7/2.
c. Slope is 7/2.
d. Slope is...
y + 2 = 3/4x + 3
y = 3/4x + 1
Slope is 3/4.
e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.
2 * 5 - 7 * -3 = 31
10 --21 = 31
10 + 21 = 31
And there's your answer: e.
Hope this helps!
Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice. By drawing a sample space, find the probability of the scores on the two dice adding to 11.
Answer:
1/18
Step-by-step explanation:
First list all the 2 answers that may add up to 11:
5 and 6
6 and 5
There are no more.
Next how many possible outcomes can se get?:
6 x 6 = 36
Thus, the probability = 2/36 = 1/18
The odds of the two dice's results adding up to 11 are 1/18.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
given, Hannah wants to display all the possible outcomes when rolling two fair 6-sided dice.
From the general formula of probability:
Probability = desired outcomes / total possible outcomes
in our case desired outcome = scores on the two dice adding to 11
the desired outcome is getting 6, 5 and 5,6
thus desired outcome = 2
since the dice is 6-sided
total outcome = 6*6 = 36
probability = 2/36
Probability = 1/18
therefore, the probability of the scores on the two dice adding to 11 is 1/18.
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Rectangle divided into four rectangles. The perimeters of rectangle #1, #2, #3, #4 are 10 cm, 20 cm, 28 cm and 18 cm respectively. Find the perimeter of the big rectangle.
Answer:
Perimeter of big rectangle = 38 units
Step-by-step explanation:
Let the sides of rectangle (1) = a and c cm
Sides of rectangle (2) = b and c cm
Sides of rectangle (3) = b and d cm
Sides of rectangle (4) = a and d cm
Perimeter of (1) = 2(length + width)
2(a + c) = 10
a + c = 5 ---------(1)
Perimeter of (2) = 2(b + c)
2(b + c) = 20
b + c = 10 -------(2)
Perimeter of (3) =2(b + d)
2(b + d) = 28
b + d = 14 --------(3)
Perimeter of (4) = 2(a + d)
2(a + d) = 18
a + d = 9 -------(4)
Since perimeter of the big rectangle = 2(a + b + c + d)
By adding equations (1) + (2) + (3) + (4),
(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9
2(a + b + c + d) = 38
Therefore, perimeter of the rectangle ABCD = 38 units
someone help me asap
Answer:
43.3 m
Step-by-step explanation:
you can use Tangent and calculator or table to find it.
tan ∅ = opp/adj
tan 61° = r/24
1.804 = r/24
r = 1.084 * 24 = 43.297 m
r = 43.3 m
(Help Please It would be greatly appreciated) Which of these are true statements about the sine function? Choose all that are correct.
Answer:
A is wrong
B is correct
C is correct
D is wrong
E is wrong
F is correct
Step-by-step explanation:
Here, we want to select the correct options about the sine function.
A. is wrong
Let’s use a case of 30 degrees angle
Sin(-30) = -0.5
Sin(30) = 0.5
B is correct
sin(-30) = -0.5
-sin(30) = -0.5
C. C is correct
Sine function is an odd function.
By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)
This is obtainable and clear about the sine function from earlier options
D. Is wrong
E. is wrong
F. is correct
The period of the sine function is 2 pi
The period of a function is the time distance between two peaks or crests
What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x-4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x - 6)2 - 4
O g(x) = (x + 4)2 + 6
Answer:
the answer is (x+6)2-4
The correct equation of the translated function, g(x) is,
⇒ g(x) = (x + 4)² 6
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
here, we have,
Given that:
The function is,
,⇒ f (x) = x²
Here, f(x) has vertex point is (0,0)
and g(x) vertex point is (-4,6)
Hence, The general form of equation with vertex is
⇒ y = a (x - h)² + k
where (h, k) are the vertex.
So, the equation of g(x) form is
⇒ g(x) = (x + 4)² + 6
Therefore, Option D is correct.
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Using the discriminant, how many real solutions does the following quadratic equation have? X^2+6x+10=0
Answer: No real solutions
Step-by-step explanation:
The discriminant can tell you how many solutions a quadratic equation has. The formula is b²-4ac. This also comes from the quadratic equation.
6²-4(1)(10)
36-40
-4
Since the discriminant is less that 0, there are no roots.
Here are 4 fractions labelled A,B,C,D. A is 3/4 B is 5/6 C=16/25 D=9/15 Using the label A,B,C,D, Write the fractions in order of size starting with the smallest fraction
Answer:
Starting with the smallest, we will have; D , C, A, B
Step-by-step explanation:
Given;
A = 3/4
B = 5/6
C = 16/25
D = 9/15
Convert the fractions to decimal, to determine their sizes;
A = 3/4 = 0.75
B = 5/6 = 0.833
C = 16/25 = 0.64
D = 9/15 = 0.6
From the decimal form of the fractions, it be observed that,
B > A > C > D
Starting with the smallest, we will have; D , C, A, B
Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the shorter diagonal is 18 feet. A rhombus is shown. Diagonals are drawn from each point to the opposite point and intersect at a point in the middle. The distance from the top point to the middle point is 12 feet. The distance from the right point to the middle point is 9 feet. What is the length of one side of the fenced-in garden? 12 ft 15 ft 21 ft 108 ft
Answer: b) 15 ft
Step-by-step explanation:
The diagonals intersect at a right angle (one of the properties of a rhombus).
Use Pythagorean Theorem to find the length of the side.
9² + 12² = c²
81 + 144 = c²
225 = c²
15 = c
Answer:
i got b!
Step-by-step explanation:
15 feet (:
Simplify: -(-x + 1) -x − 1 x − 1 -x + 1 x + 1
Answer:
x -1
Step-by-step explanation:
-(-x + 1)
Distribute the minus sign
- 1 * -x + -1 (-x)
x -1
Steps to solve:
-(-x + 1)
~Distribute the negative sign
(- * -x) + (- * 1)
~Simplify
x - 1
Best of Luck!
Help!! Question on probability. Wi give brainliest!!
Melody randomly selected two apples without replacing the first apple from the crate containing 10 granny Smith apples, 14 Red delicious apples, four golden delicious apples, and 18 Braeburn apples. What is the probability that Melody selected a golden delicious apple first and a granny Smith apple second?
Answer:
[tex]P = \frac{5}{282} = 0.0177[/tex]
Step-by-step explanation:
First we need to find the total amount of apples in the crate:
Total = 10 + 14 + 4 + 18 = 46 apples
The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:
[tex]P(golden) = \frac{N(golden)}{N(total)}[/tex]
[tex]P(golden) = \frac{4}{48} = \frac{1}{12}[/tex]
Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:
[tex]P(granny) = \frac{N(granny)}{N(total)-1}[/tex]
[tex]P(granny) = \frac{10}{47}[/tex]
The final probability we want is the product of those two probabilities:
[tex]P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177[/tex]
Please help I will give out brainliest
Answer:
Invariant points = 0
Step-by-step explanation:
When a point (h, k) is translated by a vector [tex]\binom{x}{y}[/tex], rule to be followed,
(h, k) → [(x + h), (y + k)]
Following this rule translated vertices of the rectangle OABC by a vector [tex]\binom{1}{3}[/tex] will be,
O(0,0) → O'(1, 3)
A(3, 0) → A'[(3 + 1), (0 + 3)]
→ A'(4, 3)
B(3, 3) → B'[(3 + 1), (3 + 3)]
→ B'(4, 6)
C(3, 0) → C'[(3 + 1), (0 + 3)]
→ C'(4, 3)
Therefore, every point on the perimeter of the square will get changed.
Number of invariant points = 0
Determine if the equation defines y as a function of x: y2 = x2. yes or no
Answer:
no it's not, since y has two functions , a positive and negative in terms of x.
Simplify the expression.
Write your answer without negative exponents.
Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]
Step-by-step explanation:
Any negative exponent can be moved to the other side of the fraction as a positive exponent.
Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4. Then, use the exponent rule to get 5a^2/-10a^4b^9
Hope it helps <3
What shape is produced when slicing a hexagonal prism perpendicular to the base?
Answer:
hexagonal shape
Step-by-step explanation:
i am small child from American
sorry for answer
I'm 10 year old
I am born in Nepal
but develop in America
For every 10 minutes that Tia plays on the computer, she plays outside
for 19 minutes. What is the ratio of minutes Tia plays on the computer
to minutes she plays outside?
Answer: 10:19
Step-by-step explanation:
Time she plays on computer = 10 minutes
Time she plays outside = 19
Ratio will be 10:19
Which expression is equal to the expression below?
(7•2)7
Answer:
C. 7⁷ × 2⁷
Step-by-step explanation:
The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.
(7 × 2)⁷
7⁷ × 2⁷
Answer:
c. [tex]7^7[/tex]· [tex]2^7[/tex]
Step-by-step explanation:
please mark me brainliest!
PLZ HELP ME PLZZZ I NEED HELP
Answer:
y = 40.5 cm
Step-by-step explanation:
The total area of the shape is 792 cm²
let's find the area of the four parallelograms
To do that we should calculate the area of the rhombus inside and then substract it from the total area
The area of a rhombus is given by the formula:
A = [tex]\frac{d*d'}{2}[/tex] where d and d' are the diametersLet A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms
A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex] A" = 729 cm²Let a be the area of the single parallelogram
a = A"/4 since the parallelograms are congruent a = 729/4 a = 182.25 cm²the area of a parallelogram is fiven by the formula :
A = b*h b is the base (here y/2) and h the height (here 18/9)let's find y
a = [tex]\frac{y}{2}[/tex] * 9182.25*2 = y*9 364.5 = y*9 y = 364.5/9 y = 40.5Sphere A has a diameter of 2 and is dilated by a scale factor of 3 to create sphere B. What is the ratio of the volume of sphere A to sphere B?
A 2:6
B 4:36
C 1:3
D 1:27
Answer:
1:27
Step-by-step explanation:
I will use solve in terms of pi
Know that Original volume * scale factor cubed = new volume.
The scale factor is 3 and 3^3 is 27,
Therefore the ratio is 1:27
Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.
What are Scaled figures?Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
[tex]L = k \times M[/tex]
where 'k' will be called a scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²
to get each other corresponding quantities from their similar figures' quantities.
So the area of the first figure = k² × the area of the second figure
Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or
The volume of the first figure = k³ × volume of the second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,
Diameter of sphere B = 3 × Diameter of sphere A
= 3 × 2 units
= 6 units
Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,
[tex](\dfrac{\text{Diameter of sphere A}}{\text{Diameter of sphere B}})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} \\\\\\(\dfrac{2}{6})^3 = \dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}}\\\\\\\dfrac{\text{Volume of sphere A}}{\text{Volume of sphere B}} = \dfrac{1}{27}[/tex]
Hence, the correct option is D.
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3. A un hombre le pagan doble el tiempo que trabaja por encima de las 40 horas. La
pasada semana, él trabajó 47 horas y recibió un cheque de $648.00. ¿Cuál es su
salario regular por hora?
Answer: Su salario regular por hora es $12
Step-by-step explanation:
Hola, para resolver este problema debemos plantear una ecuación:
A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.
Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.
Matemáticamente hablando:
40 x+ 7 (2x) = 648
Resolviendo para x (salario regular por hora)
40x +14x =648
54x =648
x = 648/54
x = 12
What is the product?
Answer:
B
Step-by-step explanation:
3•(-6)=-18
3•(-11)=-33
3•(-14)=-42
3•(-9)=-27
Answer:
B. [ -18 -33]
[ -42 -27]
you have to distribute the x3 to all four numbers in the matrix
what is the fraction of 80/100=
Answer:
[tex] \frac{80}{100} = \frac{4}{5} [/tex]
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? please help.
Answer:
the first and fourth quadrants
Step-by-step explanation:
We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.
Let's first analyze time:
Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants
Second let's analyze the temperature:
The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.
If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.
On a coordinate plane, 2 lines are shown. Line M N goes through (negative 4, 8) and (negative 4, negative 6). Line K L goes through (negative 8, 2) and (6, 2). How are lines KL and MN related?
Answer:
Perpendicular lines
Step-by-step explanation:
MN: (-4, 8) and (-4, -6), This line parallel to y-axis as as x-value doesn't change
KL: (-8, 2) and (6, 2), This line is parallel to x-axis as y-value doesn't change
The given lines are perpendicular as one is parallel to x, another one is parallel to y