Write the equation of the parabola in vertex form.
vertex (4,2), point (3,- 1)
f(x) =

Write the equation of the parabola in vertex form.
vertex (4,4), point (2,- 8)
f(x) =

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Work Shown:

N = weight of Noah's dog = 15 & 1/3 pounds

A = weight of Aiden's dog = unknown

A = 3*N

A = 3*(15 & 1/3)

A = 3*(15 + 1/3)

A = 3*15 + 3*(1/3) .... distribute

A = 45 + 1

A = 46

Aiden's dog weighs 46 pounds.

Answer:

$7.69

Step-by-step explanation:

2.48+2.48+2.48= $7.44

then add 0.25 which is

$7.69

1. Because you know the number of gallons per square foot. You would want to use cubic feet for the measurement of the tank.

2. Convert all dimensions to feet:

1 yard = 3 feet

18 inches = 1.5 feet.

Volume of tank = 3 x 1.5 x 1 = 4.5 cubic feet.

Multiply gallons per cubic foot by cubic feet of tank:

7.5 x 4.5 = 33.75 gallons.

Answer:

The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=1/2bh where b is the base and h is the height of the triangle.

Step-by-step explanation:

Answer:

there is no solution for this equation, Hope this helps! x <3

Step-by-step explanation:

v/84=2/21

We move all terms to the left:

v/84-(2/21)=0

We add all the numbers together, and all the variables

v/84-(+2/21)=0

We get rid of parentheses

v/84-2/21=0

We calculate fractions

There is no solution for this equation

9514 1404 393

Answer:

  (4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

  a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

  64 = 4³

  125 = 5³

So, in the above, we have ...

  a = 4x, b = 5

and the factored form is ...

  (4x -5)(16x² +20x +25)

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

[tex]V\propto \dfrac{1}{P}[/tex]

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters

Answer:

W (6,-7) X(3,-6) Y (1,-3) Z(7,-1)

Step-by-step explanation:

This is the answer because to do this you have to know that the 180 degress (x,y) changes to (-x,-y) The negative sign means opposite so, if it is Z(-7,1) it changes to (7,-1).

Hope this helped!

Answer:

a). x = 6

b). Length of KI = 20 units

Step-by-step explanation:

From the picture attached,

a). Length of KI = length of KJ + length of JI

    By substituting lengths of the segments given in the picture,

    (2x + 8) = 8 + (x + 6)

    2x + 8 = x + 14

    2x - x = 14 - 8

    x = 6

b). Length of KI = (2x + 8)

   By substituting x = 6 in the expression,

   Length of KI = 2(6) + 8

                        = 12 + 8

                        = 20 units

Answer:

-72

Step-by-step explanation:

(-4)(-9)(-2)=

36(-2)=

-72

Answer:

y = (-1/4)x + 1 so that the y-intercept is 1

Step-by-step explanation:

The slope is (-1 - 2)/[8 - (-4)] = -3/12 = -(1/4)

(-1/4) = (y - 2)/(x + 4) => -x - 4 = 4y - 8

-x + 4 = 4y

y = (-1/4)x + 1 so that the y-intercept is 1

Answer: C

Step-by-step explanation:

A slide is when you slide it over and a flip is when you flip it around

the answer is C because it said slide than flip across

Answer: y+2=-4/5(x-3)

Step-by-step explanation:

The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is a slope of a line and a point passing by it, we need to find the equation of the line,

So, the general equation of the line is :-

y = mx + c

where, m is the slope, and the c is the y-intercept.

Put the value of the slope given, in the equation,

y = -4x+c

Now, for find the value of c, just put the values of the x and y from the point in the equation,

-2 = -4(3) + c

c = -2+12

c = 10

Now, we get the value of the c,

So, the equation is y = -4x+10

Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

Learn more about equation, click;

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Answer:

1/6

Step-by-step explanation:

In order to add or subtract fractions you have to have the same denominator for both factions. you do this through finding the Lowest Common Denominator (LCD) In this case it's six because both 3 and 6 (the denominators) can go into 6. So turn 1/3 into a fraction with 6 as the denominator through multiplying both the top and bottom of the fraction by 2

1/3 * 2/2 = 1*2/3*2 = 2/6

Then you can straightforwardly subtract

2/6 - 1/6 = 1/6

Answer:

1/2

Step-by-step explanation:

hope this helps :o

Answer:

x =  1/ 10 y +  −3 /10

Step-by-step explanation:

Let's solve for x.

y = 10x + 3

Step 1: Flip the equation.

10x + 3 = y

Step 2: Add -3 to both sides.

10x + 3 + −3 = y + −3

10x = y −3

Step 3: Divide both sides by 10.

10/10x  =  y −3/ 10

x =  1 /10 y +  −3 /10

Therefore the answer is

x =  1/ 10 y +  −3 /10

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Hope This Helps!

Answer:

did you attach an image?

Step-by-step explanation:

We have a figure given in question.

We have to find a point non-coplanar to plane K.

Two or more points are coplanar if they lie on the same plane in the three dimensional coordinate system. If they don't lie on the same plane, then they are called non - coplanar.

According to the question, we have to find a point non-coplanar to

plane K.

All the points except points W and Y lie on plane K. Hence, W and Y are the two points that do not lie on the K - plane.

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Answer:

3x^3-15x^2+18x

Step-by-step explanation:

Answer:

[tex]3x^{3}-15x^{2} +18x[/tex]

Step-by-step explanation:

In order to expand this expression you need to distribute the 3x to all the terms inside the parenthesis.

Answer:

5

Step-by-step explanation:

It's the opposite of the sign. So you just add a negative if positive and a positive if negative.

Ex.

-20 = 20

14 = -14

Answer:

y=1

Step-by-step explanation:

Answer:

y=1 I not the greatest at math but I am 100% sure this is correct. :)

Answer:

18/25

Step-by-step explanation:

Answer:

72%, or, 18/25

Step-by-step explanation:

I just converted 0.72 into a percentage and a fraction. I hope this helps! :P

you add the fractions together

1 5/12+1 3/4+2 1/3 is 4 3/1 which simplifies to 7

multiply 7 by 10.50 and get 73.5

ANSWER= $73.50

Answer:

B would be the answer because line c goes through a and b. line c would the 180 line. if you subtract 180 with the numbers on lines a and b, they would equal the same.

Option B is right.

What are corresponding angles?

Corresponding angles are those angles formed in the same relative position on different intersections when a pair of lines are crossed by a third line.

Here, if we see the 60° angle, then the opposite angle must be = (180° - 60°) = 120°.

This equal to the given corresponding angle , which is also 120°.

We know, if the corresponding angles of a pair of lines are equal, then the pair of lines must be parallel.

Hence, Option B is correct.

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Answer:

15 rooms.

Step-by-step explanation:

32x=500

x=15.625

Rounding down (since you can't get a fraction of a room), you get 15 rooms.

Answer:

-30/58 & -45/87

Step-by-step explanation:

The first answer is just multiplying the original by 2.

The second one is being multiplied by 3.

The multiplicated moves DO NOT CHANGE THE VALUE OF THE ORIGINAL FRACTION, meaning that they are equivalent. :))

Answer:

37%

Step-by-step explanation:

Given parameters:

Total number  = 142 million

Comparing number  = 52.52 million

Unknown:

What percent is the number  =?

Solution

The percentage;

           = [tex]\frac{comparing number }{total number } x 100[/tex]

          = [tex]\frac{52520000}{142000000}[/tex] x 100

          = 37%

Answer:

dwadwdwa

Step-by-step explanation:

Answer:

w=6(6.6667-g)

Step-by-step explanation:

g=1/6w+6.6667

-1/6w=6.6667-g

-w=6(6.6667-g)

w=6(6.6667-g)