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3 years ago

I need help with an algebra assignment right away!

1 answer:

4 0

So remember that slope-intercept form is y = mx+b (m = slope, b = y-intercept) and standard form is ax+by = c. (a and b are coefficients and c is the constant)

Starting with the first question: 9x + 2y = 6

Firstly, subtract 9x on both sides: 2y = -9x + 6

Next, divide both sides by 2, and your equation will be y = -4.5x + 3

Now with the next equation: y - 3 = 4(x + 1)

Firstly, foil 4(x + 1): y - 3 = 4x + 4

Next, subtract y on both sides: -3 = 4x - y + 4

Next, subtract 4 on both sides, and your answer will be: -7 = 4x - y

Next equation: y + 7 = -2(x - 3)

Firstly, foil -2(x - 3): y + 7 = -2x + 6

Next, subtract 7 on both sides of the equation, and your answer will be: y = -2x - 1

Next: y - 5 = 3(x - 2) (part a)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, add 5 on both sides, and your equation is: y = 3x - 1

Next, y - 5 = 3(x - 2) (part b)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, subtract y on both sides of the equations: -5 = 3x - y - 6

Next, add 6 on both sides of the equation, and your answer will be: 1 = 3x - y

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Lines m and p are perpendicular. If the slope of line m is -3, what is the slope of line p?

nika2105 [10]

Answer: The slope of p is 1/3

Step-by-step explanation:

If the lines are perpendicular, this means they are opposite.

Thus, O is opposite P and since O = -3, P = 1/3

4 0

3 years ago

Please help with this one

lisabon 2012 [21]

Answer:

a=110

b=90

Step-by-step explanation:

because as u see A has a straight line and u take awy by 180 which is 110

and for B it looks like a right angle so it woul be 90

6 0

3 years ago

a. Calculate the volume of the solid of revolution created by rotating the curve y = 3 + 3 exp(-5 x) about the x-axis, for x bet

miskamm [114]

Answer:

A) The volume of solid is 18π cubic unit.

B) The volume of sphere is $\dfrac{4}{3}\pi r^3$

a = -r , b = r , $f(x)=\sqrt{r^2-x^2}$ and $V=\dfrac{4}{3}\pi r^3$

Solution A)

The given curve, $y=3+3e^{-5x}$ rotate about x-axis between 2 to 4.

Please find attachment for solid figure or rotation.

Using disk method to find the volume rotation about x-axis

$V=\int_a^b\pi R^2dx$

where, a = 2, b= 4 , $R=y=3+3e^{-5x}$ and dx is thickness of disk.

$V=\int_2^4\pi (3+3e^{-5x})^2dx$

$V=9\pi\int_2^4(1+e^{-10x}+2e^{-5x})dx$

$V=9\pi(x-\dfrac{1}{10}e^{-10x}-\dfrac{2}{5}e^{-5x})|_2^4)$

$V=9\pi(4-\dfrac{1}{10}e^{-40}-\dfrac{2}{5}e^{-20}-2+\dfrac{1}{10}e^{-20}-\dfrac{2}{5}e^{-10}))$

$V=9\pi (2-0)$

$V=18\pi$

Hence, the volume of solid is 18π cubic unit

Solution B)

The equation of circle of radius r and centered at origin (0,0).

$x^2+y^2=r^2$

$y=\sqrt{r^2-x^2}$

The solid form is sphere of radius r.

Using disk method, to find volume of solid

$V=\int_a^b\pi R^2dx$

where, a = -r, b = r , $R=y=\sqrt{r^2-x^2}$ and dx is thickness of disk.

$V=\int_{-r}^r\pi (r^2-x^2)dx$

$V=\pi(r^2x-\dfrac{x^3}{3})|_{-r}^r$

$V=\pi(2r^3-\dfrac{2r^3}{3})$

$V=\dfrac{4}{3}\pi r^3$

Hence, the volume of sphere is $\dfrac{4}{3}\pi r^3$

4 0

3 years ago

The area of the shaded figure

Diano4ka-milaya [45]

Add all the missing sides to make it a rectangle then divide by 2

3 0

3 years ago

Read 2 more answers

Find the cosine of ∠J.

Elenna [48]

Answer:

i=??? and the squar root of 65 =8.0622577 and the sr of 94 =96954678 n the sr of 29=538970764 and j=18570u80

Step-by-step explanation:

7 0

2 years ago