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Zinaida [17]
3 years ago
6

Solve the equation for v

c{8}{av} +7" alt="y=\frac{8}{av} +7" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
My name is Ann [436]3 years ago
3 0

Answer:

v = \dfrac{8}{a(y - 7)}

Step-by-step explanation:

y = \dfrac{8}{av} + 7

Subtract 7 from both sides.

y - 7 = \dfrac{8}{av}

Multiply both sides by v.

v(y - 7) = \dfrac{8}{a}

Multiply both sides by 1/(y - 7).

v = \dfrac{8}{a(y - 7)}

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A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an
Snowcat [4.5K]

Answer:

\cos\theta=\frac{10}{\sqrt{116}}

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

\cos\theta is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let c represent the length of the hypotenuse):

10^2+4^2=c^2

100+16=c^2

116=c^2

c=\sqrt{116}

Thus, we know the adjacent is 10, and the hypotenuse is \sqrt{116}. This means \cos\theta=\frac{10}{\sqrt{116}}.

Hope this helps!

5 0
2 years ago
What is the answer to -11y+x=-21
il63 [147K]
The answer to your question is
y= 1/11x +21/11
That’s in y=mx+b
5 0
3 years ago
Where is the exact volume of the sphere
baherus [9]

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12.3 \end{cases}\implies V=\cfrac{4\pi (12.3)^3}{3}\implies \stackrel{\pi =3.14}{V\approx 7790.83}

7 0
3 years ago
What is the slope of the line that passes through the points (-4, -2)(−4,−2) and (-4, -22) ?(−4,−22)? Write your answer in simpl
Anestetic [448]

The line is vertical, so the slope is infinite

Step-by-step explanation:

Given two points with coordinates (x_1, y_1) and (x_2,y_2), the slope of the line passing through the two points is given by the equation

m=\frac{y_2-y_1}{x_2-x_1}

In this problem, the coordinates of the two points are:

(x_1,y_1)=(-4,-2)

and

(x_2,y_2)=(-4,-22)

which means:

x_1=-4\\y_1=-2\\x_2=-4\\y_2=-22

Substituting all these values into the equation of m, we find the slope of the line:

m=\frac{-22-(-2)}{-4-(-4)}=\frac{-20}{0}=\infty

The slope is infinite: this is because the line is vertical.

Learn more about slope of a line:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

7 0
3 years ago
Which is the only center point that lies on the edge of a triangle?
Alekssandra [29.7K]

Answer:

Circumcenter of a right triangle is the only center point that lies on the edge of a triangle. Step-by-step explanation: Circumcircle is the circle that passes through all three vertices of the triangle.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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