Pls help .

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Explanation:

Start by graphing the system of equations

This is represented as the boundary lines. The first two equations produce solid boundary lines. The last equation makes a dashed boundary line. We use solid boundary lines whenever "or equal to" is involved with the inequality sign.

Note how 7 separate regions result from the intersecting lines. Check out the diagram below to see the different regions.

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To graph which is the same as , we will shade in regions 1, 2, 4 and 5. All of these regions are above the boundary line y = x-6

Ignore any other region (3,6, and 7) since they don't make the first inequality true.

Of regions 1, 4, 5 and 6, only regions 4 and 5 are below the boundary line 2x+5y = -4. So we cross off regions 1 and 6.

We're now down to just two regions: 4 and 5

We cross off region 5 because it is not to the right of the vertical line x = -1

All that's left is region 4. Any point in region 4 makes all of the three original inequalities true.

So the solution will only have region 4 shaded like choice D shows.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

triangle and cube

step-by-step explanation: