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2 years ago

Find the area of a parallelogram with a height of 2x - 3 and a base of x + 4.

Mathematics

1 answer:

saw5 [17]2 years ago

4 0

Multiply the two as area is base times height.
$(2x - 3)(x + 4) \\ 2 {x}^{2} + 8x - 3x - 12 \\ 2 {x}^{2} + 5x - 12$

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HELP ME Write and solve a proportion to find y.

Phoenix [80]

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

$d'\propto d$

$d'=kd$

$\dfrac{d'}{d}=k$

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

$k=\dfrac{OB'}{OB}$

$k=\dfrac{36}{16}$

$k=\dfrac{9}{4}$

We know that,

$k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}$

$\dfrac{9}{4}=\dfrac{A'C'}{AC}$

$\dfrac{9}{4}=\dfrac{27}{y}$

$9\times y=27\times 4$

Divide both sides by 9.

$y=\dfrac{27\times 4}{9}$

$y=3\times 4$

$y=12$

Therefore, the value of y is 12.

6 0

2 years ago

Please help ots due by 12. I need help. I dont understand.

IrinaK [193]

Answer: 1. is A

3. -3/5

4. 9/16

Step-by-step explanation: idk how to solve the other two

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3 years ago

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lora16 [44]

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2 years ago

Find the circumference and the area of a circle with radius 9<br> .

Eduardwww [97]

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2 years ago

During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial

kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

$f(x) = -12x^2 + 60x + 5$ ....(1)

(a) For maximum height, put $\dfrac{df(x)}{dt}=0$

So,

$\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60$

Now put,

$-24x+60=0\\\\x=2.5\ s$

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

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2 years ago