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Daniel [21]
3 years ago
11

Find the number a such that the line x = a divides the region bounded by the curves x = (y^2) − 1 and the y-axis into 2 regions

with equal area. Give your answer correct to 3 decimal places.
Mathematics
1 answer:
pshichka [43]3 years ago
4 0
The graph of x= y^2 - 1 is a sideways parabola with its vertex at (-1, 0) and 
y-intercepts at (0,1) and (0,1).

This means that the line x= 0, meaning a=0, splits the graph in half, with equal area above and below the x-axis.

The answer is a=0
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4 books for 1$12.00 3 books for $9.00 What is the price per book? What is the constant of proportionality
Valentin [98]

Answer:

the price per book is $3 the constant of proportionality is 3

Step-by-step explanation:

12 divided by 4 is 3 and 9 divided by 3 is 3 so it means that the price for 1 book is going to be 3 and for every book you buy the original value will be 3.

6 0
3 years ago
Circumference of the cylinder a cylinder of the base with the diameter of 6cm and height of 12cm
yuradex [85]

Answer:

To find the volume, we must find the area of the circle and multiply it by its height, think of a cylinder as an object made up of MANY circles. So, V=pir^2h... so diameter is 6cm so radius = 3cm...

therefore, Volume = (pi)(3^2)(12) = 108(pi)

where 12 = height 3 = radius

For the surface area, we need to find the area of the 2 circles(top and bottom ) so once again,

2(pi)(r^2) = 2(pi)(9)

for the area of the rectangle(if we unfold the cylindrical can) we get D(pi)(12) where D= Diameter

so the surface area is

SA = (2)(9)(pi) + 6(pi)(12)

SA = 18pi + 72pi = 90pi

7 0
2 years ago
Read 2 more answers
4=-8p-7+9p find the solution to the equation or inequality?
andrey2020 [161]
Subtract 8p from 9p and then rewrite the equation. Then you add 7 to 4 and rewrite the equation again. Then you divide 1p by 11 and get p=11.
6 0
3 years ago
What is the sum of the angle measures of 24 - gon
Wewaii [24]

\bf \textit{sum of all \underline{interior angles} in a polygon}\\\\ S=180(n-2)~~ \begin{cases} n=\textit{number of sides}\\ \cline{1-1} n=24 \end{cases}\implies \begin{array}{llll} S=180(24-2)\\\\ S=3960 \end{array}

4 0
3 years ago
If 16 student drove to school out of a class of 21, what percentage drove to school
Otrada [13]

Your answer would be 76.2% to the nearest tenth.

We can find this by first dividing 16 by 21 to get 0.7619. which is the proportion as a decimal. To convert this into a percentage, we need to multiply it by 100 to get 76.19% = 76.2% to the nearest tenth.

I hope this helps! Let me know if you have any questions :)

6 0
3 years ago
Read 2 more answers
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