what is the value of y in the solution to the following system of equations? (5 points) 2x y = −4 5x 3y = −6

1 answer:

7 0

2x+y=-4
5x+3y=-6

multiply first equaton by -5 and second by 2 then add them

-10x-5y=20
<u>10x+6y=-12 +</u>
0x+1y=8

y=8

the y value is 8

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How to solve for the shaded region

k0ka [10]

The shaded region is a triangle. Triangle area can be determined with formula
a = 1/2 × b × h

From the question, we know that the triangle consists of
base = 10 - 6 = 4 m
and the height is the dimension which is perpendicular to the base,
height = 6 m

Find the triangle area
a = 1/2 × b × h
a = 1/2 × 4 × 6
a = 1/2 × 24
a = 12

The area of the shaded region is 12 m²

5 0

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The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that

Murljashka [212]

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

$diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft$