Answer:
-6 and 7Step-by-step explanation:
factors are: (x-x₁) and (x-x₂) where x₁ and x₂ are zeros
x - x₁ = x - 7
- x₁ = - 7
x₁ = 7
x - x₂ = x + 6
- x₂ = 6
x₂ = - 6
please someone help me with my work i will give you brainly if it is correct :)
Answer:
[tex]\frac{3x^{4} }{2y^{4} }[/tex]
Step-by-step explanation:
[tex]\frac{21x^{6}y^{5} }{14x^{2}y^{9} }[/tex]
→ First simplify the numbers
[tex]\frac{3x^{6}y^{5} }{2x^{2}y^{9} }[/tex]
→ Now simplify the x powers, remember when dividing indices, you subtract them away from each other so,
[tex]\frac{3x^{4}y^{5} }{2y^{9} }[/tex]
→ Now simplify the y powers, remember when dividing indices, you subtract them away from each other so,
[tex]\frac{3x^{4} }{2y^{4} }[/tex]
Answer:
simplify.
Step-by-step explanation:
: Write the equation of the line in Point-Slope Form given the information below. Slope=-2 Point=(1,-1)
Answer: y+1=-2(x-1)
Step-by-step explanation:
The point-slope formula is [tex]y-y_{1}=m(x-x_{1})[/tex]. Since we know the coordinate and slope, we can directly plug them in.
[tex]y-(-1)=-2(x-1)[/tex]
[tex]y+1=-2(x-1)[/tex]
Can someone explain how to answer this question please
Nick, Paul and krutika share £80 in a ratio 1:1:2 how much money does each person get
Answer:
£20
Step-by-step explanation:
First you add 1 ,1 ,2 which =4
Next you divide 80 by 4 which give you the answer 20.
If x, y, z, are integers such that 2^x*3^y*7^z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU
Answer:
I just answered this question lol but the answer is 2^0*3^0*7^47=329. Hope this helps!!
Step-by-step explanation:
Answer the geometry question in the pic and save my life...
Answer:
The answer should be A'(-9,3) B'(12,-6)
Step-by-step explanation:
If you dialate, you multiply every coordinate by 3. -3 x 3= -9. 1 x 3=3. 4 x 3= 12. -2 x 3= -6. So, the last option is correct.
help me please :) thanks
Answer: B
Step-by-step explanation: graph b
On June 4th 2020, a new language was created called Math - is - fun! This language is a place value system which is written horizontally and the units place is on the right side and there is a space between each unit. The numerals used for this language are as follows: ! + 1 10 The positional values are as follows: ...,15^3 x 7^1, 15^2 x 7^1, 15 x 7^1, 7^1, 7^0 1) Write the numeral 125,126 in the language of Math – is – fun!
Answer:
56555666565252
Step-by-step explanation:
the numeral 125,126 in the language of Math - is - fun! is "+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰".
In the language of Math - is - fun!, the numerals used are !, +, 1, and 10. The positional values are as follows: ..., 15³ x 7¹, 15² x 7¹, 15 x 7¹, 7¹, 7⁰.
To write the numeral 125,126 in the language of Math - is - fun!, we need to express it using the available numerals and positional values.
125,126 can be expressed as:
15² x 7¹ + 15 x 7¹ + 7¹ + 7⁰
In Math - is - fun! notation, this becomes:
+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰
So, the numeral 125,126 in the language of Math - is - fun! is "+ 15 x 7¹ + 15 x 7¹ + 7¹ + 7⁰".
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Choose one of the theorems about chords of a circle and state it using your own words. Create a problem about chords that uses the theorem that you explained. Choose a problem that a classmate has posted, and explain how to solve it. Note: If you do not see any other responses, explain how to solve the problem that you posted. Please number your responses to the questions as they are shown (1, 2, and 3).
Answer:
Step-by-step explanation:
1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
[tex]13^{2}[/tex] = [tex]5^{2}[/tex] + [tex]d^{2}[/tex]
169 = 25 + [tex]d^{2}[/tex]
169 - 25 = [tex]d^{2}[/tex]
144 = [tex]d^{2}[/tex]
⇒ d = [tex]\sqrt{144}[/tex]
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle.
A chord is a straight line joining 2 points on the circumference of a circle.
The line that connects any two points of the circumference of a circle is known as a chord.
Theorem: A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.
Converse: The perpendicular bisector of a chord passes through the center of a circle.
Problem: In the given figure the radius of the circle is 5 cms. what is the length of the chord?
Solution:
Given to us,
radius of the circle, r = 5 cms,
RA = 1 cm,
Radius, r = OA = OP = OQ = 5 cms.
Also, OR = OA - OR = 4 cms.
In ΔOPQ,
According to Pythagorus theorum,
OP² = OR² + RP²
5² = 4² + RP²
RP² = 25 -16 = 9
RP = 3,
We know,
A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.
A radius (OA) that is perpendicular to a chord divides the chord into two equal parts(RP = RQ).
Therefore, chord = RP + RQ = 3+3 = 6 cms.
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Add the opposite of 2.5 to the sum of 1.25 and (−1.75 ).
━━━━━━━☆☆━━━━━━━
▹ Answer
-3
▹ Step-by-Step Explanation
1.25 + (-1.75) = -0.5
Opposite of 2.5 = -2.5
-2.5 + (-0.5) = -3
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The point (0, 0) is a solution to which of these inequalities?
A. y - 5 < 3x - 4
B. y - 4 < 3x - 5
C. y + 5 < 3x + 4
D. y + 5 <3x - 4
Answer:
if their was a picture of the graph, i could of answered it.
Step-by-step explanation:
Find the ordered pairs for the x- and y- intercpets of the equations 3x-2y=18 and select the appropriate option below
Answer:
ordered pairs for the
x-intercept : (6,0)
y- intercepts :(0,9)
Step-by-step explanation:
Given equation : 3x-2y=18
X- intercept on coordinate plane is point where the line intersect the x- axis.
The coordinate of point y is 0 for x-intercept.
Based on this let the coordinate of X- intercept be (x,0)
we will plug this value in equation 3x-2y=18, to find value of x and hence we will get x-intercept
3x-2y=18
3x -2*0 =18
=> 3x = 18
=> x = 18/3 = 6
Thus, coordinate of x-intercept is (6,0)
________________________________________________
Y- intercept on coordinate plane is point where the line intersect the y- axis.
The coordinate of point x is 0 for y-intercept.
Based on this let the coordinate of X- intercept be (0,y)
we will plug this value in equation 3x-2y=18, to find value of y and hence we will get y-intercept
3x-2y=18
3*0 -2y =18
=> 2y = 18
=> y = 18/2 = 9
Thus, coordinate of y-intercept is (0,9)
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the given function. f(x) = e2x-4 To determine the inverse of the given function, change f(x) to y, switch
and y, and solve for
Answer:
To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and [tex]f^{-1}(x)= \frac{ln\ x+4}{2}[/tex]
Step-by-step explanation:
Data provided in the question
f(x) = e^2x - 4
Now
to find the inverse let
So,
y = e^2x - 4
Now
Replace x and y
Therefore
x = e^2y - 4
Now compute the value of y
So,
x + 4 = e^2y
Now take ln on both sides:
The equation is
ln(x+4) = ln(e^2y)
ln(x+4) = 2y
y = ln(x+4) ÷ 2
[tex]f^{-1}(x)= \frac{ln\ x+4}{2}[/tex]
Therefore, To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and [tex]f^{-1}(x)= \frac{ln\ x+4}{2}[/tex]
Answer:
Put them in this order in the fill in the blanks, X,Y, 4, 2
Step-by-step explanation:
Plz anwser!!!! What is the lateral surface area of a cone that has a slant height of 17 inches and a diameter of 13 inches? ( Recall the formula LA = (pi) rl
A 107.5 pi in.sq
B 110.5 pi in.sq
C 201 pi in.sq
D 221 pi in.sq
Answer:
B- 110.5
Step-by-step explanation:
slant height = 17 inches
diameter = 13 inches
If we divide 13/2 = 6.5
then we multiply it by 17
6.5*17 = 110.5 pi in.sq or in other words B
To solve this problem, we have to get the data in the question and then substitute the values into the formula and solve.
The lateral surface area of the cone is 640.874in^2.
Lateral Surface AreaLateral surface area of an object is the sum of the total areas of the object.
The formula of lateral surface area of a cone is given as
[tex]A = 2\pi rh[/tex]
Let's substitute the values into the equation and solve.
diameter = 13in, radius = 13/2 = 6.5inslant height = 17inUsing Pythagora's theorem, we can find the height of the cone
[tex]17^2 = 6.5^2 + h^2\\h^2 = 17^2 - 6.5^2\\h^2 = 246.75\\h = \sqrt{246.75} \\h = 15.70[/tex]
Substituting the values into the formula, we can solve for the lateral surface area
[tex]A = 2\pi rh\\A = 2 * 31.14 * 6.5 8 15.70\\A = 640.874in^2[/tex]
The lateral surface area of the cone is 640.874in^2
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A college student realized that he was spending too much money on fast food. For the remaining 5 months of the year his goal is to spend a mean of $50 a month towards fast food. How much can he spend in December, taking into consideration that in the other 4 months he spent $100, $25, $80, and $30, respectively? Round your answer to two decimal places, if necessary.
Answer:
The college student can spend $15.00 in December.
Step-by-step explanation:
This can be calculated as follows:
Let y represents the amount to spend in December.
The can now us the formula for calculating a mean is as follows:
Mean = Sum of montlhy spending / Number of months ...... (1)
From the question, we have:
Mean = $50
Sum of monthly spending = $100 + $25 + $80 + $30 + y = $235 + y
Number of months = 5
Substituting the values into equation (1) and solve for y, we have:
$50 = ($235 + y) / 5
$50 * 5 = $235 + y
$250 = $235 + y
$250 - $235 = y
$15.00 = y
Therefore, the college student can spend $15.00 in December.
On a nearby pond, black and white ducks are swimming in groups of 3. James wants to find the experimental probability of two white ducks and one black duck swimming together. Design a simulation using a coin flip and explain why it is the best choice for James.U Will get BRAINLIEST
Answer:
The answer is below
Step-by-step explanation:
Given that, there are only two available choices, which are a black or white duck, this can be represented using a coin: H→White duck, T→Black Duck
Hence, to represent a set of possible outcomes, the coin has to be tossed three times.
Thus, we assume that, at the minimum we have total number of Ducks = 3 Black + 3 White = 6 Ducks
Total Favorable Outcome = 2 White + 1 Black
Total Possible Outcome = Selecting 3 Ducks (2 White +1 Black) from 6 Ducks
Formula to Calculate Probability
= Total favourable outcome ÷ Total possible outcome
Use ,C(n,r)= n! / (n - r)! r!
Therefore, the Probability of two white ducks one black duck swimming together
= ³C² * ³C¹ ÷ 6C3 = 9/20
To use Simulation Coin Flip, we have the following:
H→White duck, T→Black Duck
HHH→Three White Ducks Swimming together
TTT→Three black ducks Swimming together
HHT→Two white duck and a Black Duck swimming together
HTH→Two white duck and a Black Duck swimming together
THH→Two white duck and a Black Duck swimming together
TTH→Two Black duck and a White Duck swimming together
THT→Two Black duck and a White Duck swimming together
HTT→Two Black duck and a White Duck swimming together
Finally, to find the probability, divide the observed desired outcomes by the total number of trials.
Answer:
There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trials.
Step-by-step explanation:
edg2020
Simplify 5*5^2 leaving your answer in index form (:
Answer:
5^3
Step-by-step explanation:
5*5^2
5^1 * 5^2
When the bases are the same and we are multiplying, we add the exponents
5^(1+2)
5^3
Answer:
5^3
Step-by-step explanation:
we have 5*5^2 = 5^1*5^2 = 5^3
Is the function f(x) =(4)^x -2 an exponential function. If so, identify the base. If not, why not?
Answer:
Yes.
Base: 4
Step-by-step explanation:
Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.
Is Pie Really infinite or could their be a possible ending by rounding it..........
Answer:
pi is infinite
Step-by-step explanation:
pi rounded ends
Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo's equation is missing, as shown below. Negative (x minus 1) + 5 = 2 (x + 3) minus box Which could be the missing term that Leonardo put into the box? x 3x 1 5
Answer:
The missing term is 3x
Step-by-step explanation:
Given
-(x - 1) + 5 = 2(x + 3) - _
Required
Find _
For proper identification of the parameters, represent _ with Z
So, the equation becomes
-(x - 1) + 5 = 2(x + 3) - Z
Open bracket (start from the left hand side)
-x + 1 + 5 = 2(x + 3) - Z
-x + 1 + 5 = 2x + 6 - Z
Solve like terms
-x + 6 = 2x + 6 - Z
Subtract 6 from both sides
-x + 6 - 6 = 2x + 6 - 6 - Z
-x = 2x - Z
Subtract 2x from both sides
-x - 2x = 2x - 2x - Z
-3x = -Z
Multiply both sides by -1
-3x * -1 = -Z * -1
3x = Z
Reorder
Z = 3x
Hence, the missing term is 3x
Answer:
answer is 3x
Step-by-step explanation:
Help!!!! please!!!!!
Answer:
264 m²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( where b is the base and h the perpendicular height )
Here b = 33 and h = 18, thus
A = 33 × 8 = 264 m²
Help please........please
Answer:
58, 38 and 76
Step-by-step explanation:
(a)
The median is represented by the vertical line inside the box
median = 58
(b)
The interquartile range is the difference between the upper quartile and the lower quartile.
The upper quartile is the value at the right of the box, that is 72
The lower quartile is the value at the left of the box, that is 34
Interquartile range = 72 - 34 = 38
(c)
The range is the difference between the largest and smallest value
max value is the value at the right of the data, that is 86
min value is the value at the left of the data, that is 10
Range = 86 - 10 = 76
factor the trinomial below x^2 - 2x - 48
Answer:
( x-8) ( x+6)
Step-by-step explanation:
x^2 - 2x - 48
What two numbers multiply to -48 and add to -2
-8*6 = -48
-8+6 = -2
( x-8) ( x+6)
HELP NOW PLZ 20-30 POINTS FOR BRAINLIEST LOOK AT MY PROFILE FOR THE SAME QUESTION WITH MORE POINTS Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant! (Recall: Standard Form of a quadratic equation is Ax^2 + Bx + C ). You need to choose a value for A, B, and C that satisfies each of the following conditions. You can use a value of 0 for B for no more than 1 of the 5 questions! Step 2: Solve each of the equations you create. YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT FOR THIS STEP! Write your Exact answer in simplest form AND if necessary, round your estimate to the nearest tenth. 1) Equation 1 should represent a parabola that opens up and has a negative y-intercept. Equation 1: ____________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 2) Equation 2 should represent a parabola that opens down and has a negative y- intercept. Equation 2:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 3) Equation 3 should represent a parabola that is a vertical stretch of the parent function and has a y-intercept greater than 3 and opens down. Equation 3:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 4) Equation 4: You decide what type of parabola you would like to create by answer the following questions: Does your parabola open up or down? _______________ Is there a vertical stretch or vertical compression? _______ What is the y-intercept? __________ Equation 4: ____________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation: 5) Write a quadratic equation that can only be solved using the quadratic formula. Equation 4: _________________________________________________________________ Show your work for how you use the quadratic formula to solve this equation:
Answer:
This is equation 1.
Step-by-step explanation:
Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.
Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.
1. The parabola should open upwards: a> 0
2. [tex]3x^2+7x-6[/tex] (a>0), y-int is negative (0s for x's)
3(0)^2 + 7(0) -6
y= -6
Step 2:
1. Factor the original equation: (3x-2)(x+3)
x=2/3, -3
2. Strategy used (factor by grouping)
Plz help similarity in right triangle
Answer:
similar triangles have there corresponding sides proportional and corresponding angles equal
Cesar comenta que su papa esta interesado en comprar un terreno o vivienda.En estos tiempos de cuarentena su padre ha aprendido a comunicarse mas por medio de las redes sociales y justamente,atraves de whappsap,un amigo le envio una imagen del terreno de una vivienda en venta. Su padre le mostro la imagen y quiere que le alyude a realizar diversos calculos.si los calculos son 40m+14m+a+20m+54m+20+a.¿cual es el area de la vivienda?
Answer:
El área de la casa es de 1,304 m²
Step-by-step explanation:
De las dimensiones dadas en línea, tenemos que el área del jardín = 640 m²
Las dimensiones del jardín son;
Longitud = 40 m.
Ancho = a m
Por lo tanto, 40 × a = 640
a = 640/40 = 16 m
La dimensión del compuesto es así;
Longitud = 40 + 14 = 54 m
Ancho = 20 + a = 20 + 16 = 36 m
El área del compuesto = Área de la casa + Área del jardín
El área del compuesto = Ancho del compuesto × Longitud del compuesto
El área del compuesto = 36 × 54 = 1,944 m²
∴ 1,944 m² = Área de la casa + Área del jardín
1,944 m² = Área de la casa + 640 m²
Área de la casa = 1,944 m² - 640 m² = 1,304 m²
El área de la casa = 1,304 m².
Wendy is creating a large soup based on a recipe. Her recipe calls for of a pint of milk, but she only has of a pint of milk, so she can only make a portion of her soup. Wendy can only make _____ of her recipe with the amount of milk that she has.
Answer:
She can only make 5/6 of her recipe with the amount of milk that she has.
Step-by-step explanation:
Some data of this problem is missing, the data missing is:
Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.
Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:
[tex]\frac{5}{8}[/tex] ÷[tex]\frac{3}{4}[/tex]
When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:
[tex]\frac{5}{8}[/tex]÷[tex]\frac{3}{4}=\frac{5}{8}[/tex]×[tex]\frac{4}{3} =\frac{20}{24}[/tex]
If we simplify this last expression we have:
[tex]\frac{20}{24}=\frac{10}{12} =\frac{5}{6}[/tex]
Thus, she can only make 5/6 of her recipe with the amount of milk that she has.
Note: In case the data missing is different, you can apply this same procedure with the fractions you have.
Which graph represents a function?
2
1
23
23
2 3 4 5
Answer:
D, the graph in the bottom row, on the right side
Step-by-step explanation:
A function will not have repeating x values, and the graph on the bottom right is the only that passes the vertical line test(meaning there are no repeating x values).
Answer:
The fourth option
Step-by-step explanation:
Remember a function is a line that only gets intersected once, in this case it's not option one because the graph gets intersected twice. It's not option two because the lines also get intersected twice, it's not option three because it doesn't intersect the line at all which gives you the fourth option which intersects the line once making it a function.
Hope this helps.
Mrs. Boiler is three times as old as her son, William. Mr. Boiler is 4 years older than his wife. If William's age will be x years old in 5 years, express the sum of their current ages, in terms of x.
Answer:
william's age=x-5, mrs boiler=3 (x-5), mr boiler=4+3 (x-5) the sum=7x-31
is Pi/2 rational or irational explain your thinking
Answer:
irrational
Step-by-step explanation:
pi itself is an irrational number, pi/2 will also be an irrational number
Answer:
irrational
Step-by-step explanation:
it's an irrational number divided by a rational so therefore it is irrational