The answer should be the third one which is "<span>The origin is included in the shaded region and the shaded area is above the line."

Hope this helps!!</span>

5 0

3 years ago

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Katie is 6/10 of the way to Brianna's house. Larry is 7/10 of the way to Brianna's house. How much closer to Brianna''s house is

SVETLANKA909090 [29]

I think Larry is 1/10 closer to Brianna's than Katie.

3 0

3 years ago

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

$y\leq 40-x$ ....(1)

$y\leq x-20$ ...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

$y=-x+40$ ...(3)

$y=x-20$ ...(4)

Adding equation (3) and (4) we get

$2y=20$

$y=10$

Substitute y=10 in equation (3) we get

$10=40-x$

$x=40-10=30$

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

$y=40$

Substitute y=0 in equation (3)

$x=40$

Substitute x=0 in equation (4)

$y=-20$

Substitute y=0 in equation (4)

$x=20$

Substitute x=0 and y=40 and in equation (1)

$40\leq 40$

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

$-20\leq -20$

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

5 0

3 years ago

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Evaluate the following expression. 6 squared -1

natita [175]

Answer:

Step-by-step explanation:

$6^2 - 1\\36-1\\35$

4 0

3 years ago

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