3 years ago

A picture frame is 20 inches long and 7 inches tall. It is 1 inch wide on all 4 sides. What is the area of the picture frame?

Mathematics

1 answer:

saw5 [17]3 years ago

7 0

20*7 = 140

20-2 =18

7-2=5

18*5 = 90

140-90 = 50 square inches

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What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

$x = 3 \: or \: x = - 3$

When
$x = 3$

$y = 3(3) + 2 = 11$

When x=-3,

$y = 3( - 3) + 2 = - 7$

Therefore the solution for the system is (3, 11) and (−3, −7).

7 0

2 years ago

Read 2 more answers

In a class with 30 students, there are 18 women and 12 men. What is the ratio of men to women in the class?

Nonamiya [84]

Answer:

2:3

Step-by-step explanation:

A total of 30 students with 12 girls so its 12/30 & its the balance of 18 boys or 18/30

12:18 ÷ by 2 on both sides is.6:9 & 2:3, Answer is Ratio of 2:3.

4 0

2 years ago