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OleMash [197]
3 years ago
13

Find the slope and the y-intercept of the graph of the linear equation. y=3−12x

Mathematics
1 answer:
pychu [463]3 years ago
3 0
Slope is -12 and y-intercept is 3
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an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.​
dolphi86 [110]

Answer:

\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have:

leg=5,\ leg=h,\ hypotenuse=20

Substitute:

5^2+h^2=20^2

25+h^2=400             <em>subtract 25 from both sides</em>

h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm

Calculate the area:

A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2

8 0
3 years ago
Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr
aleksley [76]
727.29 + 248.50 − x ≥ 500;
x ≥ $475.79 727.29 + 248.50 − x ≤ 500;
x ≤ $475.79 727.29 − 248.50 + x ≥ 500
 x ≥ $21.21 727.29 – 248.50 - x ≤ 500
 x ≤ $21.21
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Quadrilateral BEAR is inscribed in circle o,<br> What is the measure of R?
sattari [20]

Answer: 106 degrees. Don’t listen to the guy who said 88.

Step-by-step explanation: Found the answer on Khan Academy.

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What is the standard deviation of the data set? <br> 42,36,42,30,54,18
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Answer:

the standard deviations 12.2 if I'm correct.

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