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blondinia [14]
3 years ago
12

Please help me out!!!!!!!!!!! :)

Mathematics
1 answer:
Harman [31]3 years ago
6 0

Answer:

y + 20 = 1(x + 10)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 10, - 20) and (x₂, y₂ ) = (1, - 9)

m = \frac{-9+20}{1+10} = \frac{11}{11} = 1

Using (a, b) = (- 10, - 20), then

y - (- 20) = 1 (x - (- 10)), that is

y + 20 = x + 10

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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle
Mama L [17]

Answer:

The circumference of the circle is C=45.346 \:units.

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by A_{circle}=\pi r^2

The formula used to calculate the area of a sector of a circle is:

A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2

The circumference of a circle is the distance around the outside of the circle and its given by

C=2\pi r

We know the central angle \theta = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}

The radius can't be negative. Therefore,

r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units

Next, we apply the formula for the circumference of a circle.

C=2\pi (7.217)=45.346 \:units

7 0
3 years ago
A food truck sells salads for $6.50 each and drinks for $2.00 each. The food truck’s revenue from selling a total of 209 salads
lord [1]
Create an equation to figure out how much salad was sold that day. S is for the number of salads. D is for the number of drinks.

$6.5s + $2d = $836.5
<span>s + d = 209
</span><span>s = 209 - d

Plug in the values. 

</span>6.5 (209 - d) + 2d = 836.5

1358.5 - 6.5d + 2d = 836.5
-4.5d = -522
d = 116

<span>s = 209 - 116
= 93
</span>
Answer: Letter B ✅

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or post another question and send the link to me. -UnicornFudge aka Nadia 
6 0
3 years ago
Read 2 more answers
What is the sum?<br> 2 + (-4) =
Ostrovityanka [42]

Answer:

-2

Step-by-step explanation:

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3 years ago
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Find cordninates of the midpoint of the segment with each pair of endpoints
vovangra [49]
The answer is b (14,-7)
4 0
3 years ago
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Does anyone know this?
barxatty [35]

Answer:

\Huge \boxed{-2}

Step-by-step explanation:

f(x)=-2x^2-2x+10

For f(2), the input of the function is 2.

Let x = 2.

f(2)=-2(2)^2-2(2)+10

Evaluate.

f(2)=-2(4)-2(2)+10

f(2)=-8-4+10

f(2)=-2

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3 years ago
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