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fomenos
3 years ago
5

The angle measures of a triangle are shown in the diagram.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

B

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What curve passes through the point ​(1 ​,2​) and has an arc length on the interval​ [2,6] given by Integral from 2 to 6 StartRo
Georgia [21]

Answer:

Step-by-step explanation:

Given

Length of curve

L=\int_{2}^{6}\sqrt{1+64x^{-6}}dx

Length of curve is given by

L=\int_{a}^{b}\sqrt{1+\left ( \frac{\mathrm{d} y}{\mathrm{d} x}\right )^2}dx over interval a to b

comparing two we get

\frac{\mathrm{d} y}{\mathrm{d} x}=8x^{-3}

dy=8x^{-3}dx

integrating

\int dy=\int 8x^{-3}dx

y=-4x^{-2}+C

Curve Passes through (1,2)

1=-4+C

C=5

curve is

y+\frac{4}{x^2}=5

3 0
3 years ago
How to solve rational equations
VashaNatasha [74]

Answer:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

   Find the common denominator.

   Multiply everything by the common denominator.

   Simplify.

   Check the answer(s) to make sure there isn't an extraneous solution.

4 0
3 years ago
The equation below represents the function p.
svet-max [94.6K]
Answers:

1)Tthe first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) the y-intercept of the function p is greater than the y-intercept of the function q.


Explanation:


1) Value of the functions as x increases.


Function p:

p(x)=  ( \frac{2}{5} )^{x} -3

As x increases, the value of the function is the limit when x → ∞.

Since [2/5] is less than 1, the limit of [2/5]ˣ when x → ∞ is 0, and the limit of p(x) is 0 - 3 =  -3.

While in the graph you see that the function q has a horizontal asymptote that shows that the limit of q (x) when x → ∞ is - 4.

Then, the first answer is that as x increases the value of  p(x) approaches a number that is greater than  q (x).


2) y - intercepts.

i) To determine the y-intercept of the function p(x), just replace x = 0 in the equation:
p(x) = [ 2 / 5]⁰ - 3 = 1 - 3 = - 2

ii) The y-intercept of q(x) is read in the graph. It is - 3.

Then the answer is that the y-intercept of the function p is greater than the y-intercept of the function q.

4 0
2 years ago
What is the length of cloth needed to make 24 shirts if each shirt is made from .75 yards of material?
RideAnS [48]

Answer:

18 yards of material needed to make 24 shirts

Step-by-step explanation:

The unit rate is

        1 shirt

------------------------------ = 1 1/3 shirts per yard of material = 4/3 shirt/yard

 0.75 yards material

This rate could also be written as 3/4 yard per shirt

Multiply this latter rate by 24 shirts:

 3 yard

-------------- * 24 shirts = 18 yards of material needed to make 24 shirts

 4 shirt

4 0
2 years ago
Read 2 more answers
What relationship is represented by the graph
frutty [35]

Answer:

the third one

Step-by-step explanation:

area of a circle vs. it's diameter

6 0
1 year ago
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