Please help with this

The width of a rectangle is the length minus 7 units. The area of the

AleksandrR [38]

Answer:

8 units

Step-by-step explanation:

here's your solution

=> let the length of rectangle be X

=> then width = x - 7

=> area = 8units

=>> area = length*width

=> area = x (x-7) = 8

=> x^2 - 7 = 8

=> now, x^2 - 7x - 8 = 0

=> factories the above equation by middle term split

=> x^2 - 7x - 8

=> x^2 - 8x + x - 8

=> take the common

=> x(x - 8) + 1(x - 8)

=> (x + 1) (x - 8)

neglect (x + 1) because this will in negative for X

=> x - 8 = 0

=> x = 8

=>so, x = 8

=>length = 8 units

3 0

3 years ago

Which of the following is a proportion?

poizon [28]

Answer:

Option C, 14/21=9/21 is the proportion.

Step-by-step explanation:

Given:

a.5/7 = 10/12

b.9/15 = 12/18

c.4/6 = 8/12

d.14/21 = 9/12

We have to find the proportions.

In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.

Let's work with option C

⇒ $\frac{4}{6}=\frac{8}{12}$

To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).

Simplest form of $\frac{8/2}{12/2}$ = $\frac{4}{6}$ , $\frac{4/2}{6/2}$ = $\frac{2}{3}$

Simplest form of $\frac{4}{6}$ = $\frac{2}{3}$

Both sides in option C have equal ratios of 2/3.

So 4/6=8/12 is in proportion.

6 0

3 years ago

Solve these problems! Show your work if you would like.

Furkat [3]

Answer:

7. is 2 squared. I didn't show my work but I am very sure that's the answer.

6 0

3 years ago

1. Lupita purchased a new ball gown to wear to the prom. The expression 0.06g represents the sales tax on the gown price, g. Wri

melamori03 [73]

The expression for the total amount that Lupita paid for the gown would be 1.06g.

The amount of the tax is 0.06g and the cost of the g is just 1g. If we add the two expressions together will will get the total amount paid.

0.06g + 1g = 1.06g

6 0

4 years ago

The measure of angle O is 7pi/6. The measure of its reference angle is.... ° and sin O is .....

scoray [572]

$\frac{7 \pi }{6}$ is in the 3rd quadrant... (It is also 210 degrees)
To find the reference angle (which is the distance to the x-axis)
$\frac{7 \pi }{6} - \pi = \frac{ \pi }{6}$ (or 30 degrees)

sin $\frac{ \pi }{6} = \frac{1}{2}$

6 0

4 years ago

Please help with this​

Please help with this