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marishachu [46]
3 years ago
13

Write the equation of a line that passes through (-2,6) and 1,-6)

Mathematics
2 answers:
Firlakuza [10]3 years ago
6 0
Find slope first
(-6-6)/(1+2) = -12/3 = -4
Format: y = -4x + b
Plug in one point
6 = -4(-2) + b
6 = 8 + b, b = -2
Answer: y = -4x - 2
mote1985 [20]3 years ago
3 0

Answer: y=−2−4x

Check: Put 1,6 in the equation, -6 = -2-4(1). After solving, you get -6 (Check) So this equation is correct. Stay safe, and Happy Holidays!

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Find the area of the sector.
attashe74 [19]

Answer: C . 147π / 4 mi²

Concept:

The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.

A = (θ / 360) πr²

θ = angle of the sector

π = constant

r = radius

Solve:

<u>Given variable</u>

θ = 270°

r = 7 mi

<u>Given formula</u>

A = (θ / 360) πr²

<u>Substitute values into the formula</u>

A = (270 / 360) π (7)²

<u>Simplify exponents</u>

A = (270 / 360) π 49

<u>Simplify by multiplication</u>

A = (147 / 4) π

A = 147π / 4

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
The height of an equilateral triangle is 13 feet. The triangles area is 39 feet squared. What is the perimeter of the triangle?
cluponka [151]

Answer:

It is 6ft

Step-by-step explanation:

The formula is

A= 1/2bh so now you would substitute

39= 1/2(13)h

78= 13h

6=h

8 0
3 years ago
The amount of time it takes to see a doctor a CPT-Memorial is normally distributed with a mean of 33 minutes and a standard devi
Eva8 [605]

Answer:

a) <em>Z-score = 0.75</em>

b) <em>Z-score = -32.833</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that mean of the Population = 33

Given a standard deviation of the Population = 12

Let 'X' be a random variable in a normal distribution

Let 'X' = 42

<u><em>Step(ii):-</em></u>

<em>      </em>Z = \frac{x-mean}{S.D}<em></em>

<em>     </em>Z = \frac{42-33}{12} = 0.75<em></em>

<u><em>Step(iii):-</em></u>

<em>Given that mean of the Population = 89</em>

Given a standard deviation of the Population = 1

Let 'X' be a random variable in a normal distribution

Let 'X⁻ = 82

<em>   </em>Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }<em></em>

<em>     </em>Z = \frac{82-89}{\frac{1}{\sqrt{22} } } =  -32.833<em></em>

<em>Z-score = -32.833</em>

<em></em>

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