What is the length of the diagonal AC in the rectangle below?

Mathematics

2 answers:

EleoNora [17]2 years ago

8 0

Find lengths of BC and DC.

Then use Pythagorean Theorem to find BD (the hypotenuse of right triangle DCB). So Pythag here would be:

$BC^2+DC^2=BD^2$

See attached picture for full work.

ella [17]2 years ago

6 0

I used the distance formula to find the length of diagonal AC.

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Y=−2x+4y, equals, minus, 2, x, plus, 4

vlabodo [156]

The missing value of the solution to the equation y = −2x + 4, is: 3.

<h3>What is the Solution to an Equation?</h3>

The solution to a given equation, is the x and y values of an ordered pair that would make the equation true, if we substitute their values into the equation.

Given the equation, y = -2x + 4, and we have (x, -2) as the solution where the value of x is the missing value in the solution, to find the value of x, substitute y = -2 into the equation and solve for x:

-2 = -2x + 4

Subtract 4 from both sides

-2 - 4 = -2x + 4 - 4 (subtraction property of equality)

-6 = -2x

Divide both sides by -2

-6/-2 = -2x/-2

3 = x

x = 3

Therefore, the missing value is: 3.

Learn more about the solution to an equation on:

brainly.com/question/25678139

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