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3 years ago

In the diagram, KL = , LM = , and MN = . What is the perimeter of isosceles trapezoid KLMN?

Mathematics

1 answer:

slamgirl [31]3 years ago

6 0

The trapezoid is isosceles. Thus, the bases are $\overline{KL}$ and $\overline{NM}$ , while the equal sides are $\overline{LM}$ and $\overline{KN}$ .

This also means that the length of the sides $\overline{LM}$ and $\overline{KN}$ are equal.

The perimeter of the trapezoid is the sum of the lengths of the sides of the trapezoid, so the perimeter is:

$KL+LM+MN+NL=2 \sqrt{2}+ \sqrt{5}+ \sqrt{2}+\sqrt{5}=3 \sqrt{2}+2 \sqrt{5}.$

Answer: third choice

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Find the value of the expression |2x−8| where x=−2.5; 0; 4; 5; 9.5.

Lelu [443]

The absolute value $|x|$ returns the "positive version" of a number. In other words, if $x$ is already positive, then $|x|=x$ . Otherwise, if $x$ is negative, then the absolute value changes its sign, so that it returns positive: $|x|=-x$ .

So, in this case, we have to plug the required values for $x$ in the expression $2x-8$ . Then, if the result is positive we're ok, otherwise we discard the negative sign.

We have:

$x=-2.5 \implies |2x-8| = |-5-8|=|-13|=13$

$x=0 \implies |2x-8| = |0-8|=|-8|=8$

$x=4 \implies |2x-8| = |8-8|=|0|=0$

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$x=9.5 \implies |2x-8| = |19-8|=|11|=11$

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3 years ago

Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility and identifying x-intercepts

MaRussiya [10]

9514 1404 393

Answer:

x = -7, x = 9

Step-by-step explanation:

We presume your equation is ...

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(x -9)(x +7) = 0

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The solutions to the quadratic equation are x = -7 and x = 9.

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3 years ago

Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)

Pavlova-9 [17]

Answer:

$y=\frac{1}{4}x+2$

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m= $-\frac{1}{3}$

b= 1

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Step-by-step explanation:

1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.

The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=\frac{1}{4}x+2$

2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.

The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=-\frac{1}{3}x+1$

3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.

The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=3x+4$

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2 years ago

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olchik [2.2K]

The correct answer is C. 250

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3 years ago