3 years ago

The sides of a rectangle are 3t - 2 and 5t + 7. Write an expression for the perimeter of the rectangle.

1 answer:

6 0

How does this have anything to do with factoring?
Perimeter of the rectangle would just be 2(3t-2)+2(5t+7)
Simplify that to get 6t-4+10t+14, then 16t+10

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20 POINTS !!! <br><br> Find the distance between the points (3,-4) and (5, 4)

jeka57 [31]

Answer:

$d=2\sqrt{17}\approx8.2462$

Step-by-step explanation:

To find the distance between two points, use the distance formula.

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:

$d=\sqrt{(5-3)^2+(4--4)^2$

Simplify:

$d=\sqrt{(2)^2+(8)^2$

Square:

$d=\sqrt{4+64}$

Add:

$d=\sqrt{68}$

Simplify:

$d=\sqrt{4\cdot17}=\sqrt4\cdot\sqrt{17}$

Simplify:

$d=2\sqrt{17}\approx8.2462$

8 0

3 years ago

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Simplify without exponents.<br> 1/3(3^-2 3^5)

Over [174]

1/3 x (3^-2 x 3^5)
1/3 x (1/3^2 x 243)
1/3 x (1/9 x 243)
1/3 x 27
9

5 0

3 years ago

Solve the following proportion for X

mixer [17]

Answer: 3.7 (to nearest tenth)

Working:
7/17 = x/9
63 = 17x
x = 63/17
x = 3.7 (to nearest tenth)

8 0

3 years ago

Solve for x. Show each step of the solution. Show all work. 4.5(8-x)+36-2.5(3x+24)=102

sergejj [24]

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

-4.5x + 7.5x = 42 - 72

3x = - 30

x = -30/3

x = -10 <===

Hope this helps!

4 0

3 years ago

Which statement about the graph of the quadratic function is NOT true?

AURORKA [14]

Answer:

2nd option

Step-by-step explanation:

the graph has a minimum value of - 6 ( U ) not a maximum

5 0

2 years ago

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