The equation from the word problem is 2(x+5)+25=140. Distribute 2 to the parentheses and get 2x+10+25=140. Combine like terms to get 2x+35=140. Subtract 35 from both sides and get 2x=105. Divide both sides by 2 and your final answer is x=52.5

7 0

2 years ago

Can someone help me with this problem

Alex_Xolod [135]

Answer:

Step-by-step explanation:

The formula of a distance between two points:

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

A(-3, 0) , B(3, 2)

$AB=\sqrt{(3-(-3))^2+(2-0)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=\sqrt{4\cdot10}=\sqrt4\cdot\sqrt{10}=2\sqrt{10}$

A(-3, 0), D(-2, -3)

$AD=\sqrt{(-2-(-3))^2+(-3-0)^2}=\sqrt{1^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

AB = CD and AD = BC

The area of a rectangle:

$A=(AB)(AD)$

Substitute:

$A=(2\sqrt{10})(\sqrt{10})=(2)(10)=20$

The perimeter of a rectangle:

$P=2(AB+AD)$

Substitute:

$P=2(2\sqrt{10}+\sqrt{10})=2(3\sqrt{10})=6\sqrt{10}$

4 0

3 years ago

What are the values a, b, and c in the following quadratic equation?<br><br> −6x = −8x2 − 13

lesya692 [45]

Answer:

Quadratic equation follows form: ax^2 + bx + c = 0

a = 8

b = - 6

c = 13

4 0

3 years ago

It take Sophia 1/5 weeks to read one book and Sophia reads for 1/6 weeks how many books where she read

ladessa [460]

Sophia has not even completed 1 book. She has managed to complete 83% of the book.

<u>Explanation:</u>

Given:

Time taken to read one book = 1/5

Total weeks for which sophia read = 1/6

Number of books, z = ?

Total weeks = z X time taken to read one book

$\frac{1}{6} = z X \frac{1}{5} \\\\z = \frac{5}{6} \\\\z = 0.83$

Therefore, sophia has not even completed 1 book. She has managed to complete 83% of the book.

3 0

3 years ago