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3 years ago

How can I solve this?

Mathematics

1 answer:

kotegsom [21]3 years ago

4 0

I completely forgot how to do this but maybe multiply the angles I’m so sorry

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

77julia77 [94]

Because of the symmetry, we can just go from x=0 to x=2 to find the area between
y = x^2 and y = 4 

that area = ∫4-x^2 dx from 0 to 2 
= [4x - (1/3)x^3] from 0 to 2 
= 8 - 8/3 - 0 
= 16/3 

so when y = b 
x= √b 
and we have the area as 
∫(b - x^2) dx from 0 to √b 
= [b x - (1/3)x^3] from 0 to √b 
= b√b - (1/3)b√b - 0 

(2/3)b√b = 8/3 
b√b =4 
square both sides 
b^3 = 16 
b = 16^(1/3) = 2 cuberoot(2) 
or appr 2.52

7 0

3 years ago

Consider the following system of equations. -10x2-10y2=-300 5x2+5y2=150 Which statement describes why the system has infinite so

scoundrel [369]

Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

$-10x^{2}-10y^{2}=-300$

Divide by -10 both sides

$x^{2}+y^{2}=30$ -----> equation A

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

and

$5x^{2}+5y^{2}=150$

Divide by 5 both sides

$x^{2}+y^{2}=30$ -----> equation B

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

equation A and equation B are equal

therefore

The system has infinite solutions, because the equations represent circles that result in the same graph.

4 0

3 years ago

Write the equation of the line that passes through the point ( -6 , 2 ) and is parallel to the line y = 1/2x + 4.

SashulF [63]

Parallel lines need the same slope, and for y = 1/2x + 4, it is 1/2.

Let's solve for b.

2 = 1/2(-6) + b
2 = -3 + b
Add 3 on both sides.
5 = b

y = 1/2x + 5

8 0

3 years ago

There is 3/4 of pizza leftover from the night before . how many 1/8 portions are there

serg [7]

We want to know how many 1/8's are in 3/4, so we divide.

$\sf\dfrac{3}{4}\div\dfrac{1}{8}$

Flip the 2nd fraction and multiply:

$\sf\dfrac{3}{4}\times\dfrac{8}{1}$

Multiply the numerators and denominators together:

$\sf\dfrac{3\times8}{4\times1}\rightarrow\dfrac{24}{4}$

Divide:

$\boxed{\sf6}$

3 0

3 years ago

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What is the percent decrease from 145 to 132

Vadim26 [7]

First, subtract 132 from 145, then divide 145 by that answer (13) and you will get : 11.1538461538

4 0

2 years ago

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