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3 years ago

Which equation of the line is shown on this graph? Enter your answer in the box

Mathematics

1 answer:

Nat2105 [25]3 years ago

8 0

$\text{The vertical line has the equation} x = a,\ a\in\mathbb{R}$

$\text{We have the points}\ (-2,\ 2)\ \text{and}\ (-2,\ -3)\\\\x\ \text{x at both points is -2, therefore your answer is}\\\\\boxed{x=-2}$

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Find The art length of a sector with an area of 8 square units.

frez [133]

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\$

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}$

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.

6 0

3 years ago

Solve this application problem using a system of equations: The Bright College footballteam scored 80 times last season, some on

Goryan [66]

Answer:

$\large \boxed{\sf \ \ 69 \ \textbf{touchdowns } 11 \ \textbf{field goals } \ }$

Step-by-step explanation:

Hello,

Touchdown is 7 points, field goals is 3 points

Let's note a the number of touchdowns and b the number of field goals, we can write

(1) a + b = 80

(2) 7a + 3b = 516

(2) - 3*(1) gives

7a + 3b - 3(a + b) = 516 - 3*80

<=> 7a + 3b -3a - 3b = 516 - 240 = 276

<=> 4a = 276

<=> $a=\dfrac{276}{4}=69$

And then from (1) b = 80 - 69 = 11

Hope this helps

4 0

3 years ago

Brainliest for whoever explains

makvit [3.9K]

Answer:

A rectangle.

Step-by-step explanation:

The 2 ends of the rectangular prism are squares while the other 4 sides are rectangles. A cross section parallel to the base would be a rectangle as the base is a rectangle as well.

I hope this helps and if you can please mark brainliest.

7 0

3 years ago

Read 2 more answers

If an angle is 16 degrees less than the measure of its complement. What’s the measure of the angle?

Margarita [4]

x-16+x=180

2x-16=180

2x=196

x=98 degrees

x-16= 82 degrees

Hope this helps!