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fenix001 [56]
3 years ago
5

SOLVING MULIT-STEP EQUATIONS p-1=5p+3p-8 PLZ SHOW WORK

Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0
P-1=5p+3p-8
p-1=8p-8
-1=7p-8
7=7p
p=1


hope this helps :)
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What is the vertex of the graph of f(x) = 4(x+5)²-1?​
vodomira [7]

Answer:

The vertex is (-5,-1)

Step-by-step explanation:

f(x) = 4(x+5)²-1

This is written in vertex form

y = a(x-h)^2 +k  where ( h,k) is the vertex

f(x) = 4(x- -5)²-1

H is -5 and k = -1

The vertex is (-5,-1)

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3 years ago
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Use the distance formula to calculate the length of the leg CD
Karo-lina-s [1.5K]

To calculate the distance between two points on the coordinate system you have to use the following formula:

d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}

Where

d represents the distance between both points.

(x₁,y₁) are the coordinates of one of the points.

(x₂,y₂) are the coordinates of the second point.

To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph

C(2,-1)

D(-1,-2)

Replace the coordinates on the formula using C(2,-1) as (x₁,y₁) and D(-1,-2) as (x₂,y₂)

\begin{gathered} d_{CD}=\sqrt[]{(2-(-1))^2+((-1)-(-2))}^2 \\ d_{CD}=\sqrt[]{(2+1)^2+(-1+2)^2} \\ d_{CD}=\sqrt[]{3^2+1^2} \\ d_{CD}=\sqrt[]{9+1} \\ d_{CD}=\sqrt[]{10} \end{gathered}

The length of CD is √10 units ≈ 3.16 units

6 0
1 year ago
There are 2 rectangles. One was 1.2 cm by 3.4 cm. The other was measured 2.1 cm by 1.7 cm. How much is the perimeter?
ELEN [110]

Answer: See explanation

Step-by-step explanation:

Perimeter of a rectangle is given as:

= 2(length + breadth)

First rectangle measures 1.2 cm by 3.4 cm. The perimeter will be:

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= 2(4.6)

= 2 × 4.6

= 9.2cm

Second rectangle measured 2.1 cm by 1.7 cm. The perimeter will be:

= 2(2.1 + 1.7)

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3 years ago
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Tatiana [17]

Answer:

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Step-by-step explanation:

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3 years ago
A ball is thrown upward with an initial velocity of 40 feet per second from ground level. The height of the ball, in feet, after
Elena L [17]

It takes 1.875 seconds for the ball and the balloon to reach the same height

Step-by-step explanation:

A ball is thrown upward with an initial velocity of 40 feet per second from ground level

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At the same time, a balloon is rising at a constant rate of 10 feet per second

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We need to find the time it takes for the ball and the balloon to reach the same height

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∵ The height of the balloon is given by h = 10 t

∵ They start at the same time t

∵ They have the same height h

Equate the two equations of h to find t

∴ -16 t² + 40 t = 10 t

- Subtract 10 t from both sides

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∴ -2 t(8 t - 15) = 0

Equate -2 t by 0 and 8t - 15 by 0

∵ -2 t = 0 ⇒ divide both sides by -2

∴ t = 0 ⇒ initial time

∵ 8 t - 15 = 0 ⇒ add 15 to both sides

∴ 8 t = 15 ⇒ divide both sides by 8

∴ t = 1.875 seconds

It takes 1.875 seconds for the ball and the balloon to reach the same height

Learn more:

You can learn more about the equations in brainly.com/question/2977815

#LearnwithBrainly

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4 years ago
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