Answer:
Step-by-step explanation:
Given:
To determine the equation of the line, we will use point slope form.
<u>Formula of point slope form:</u>
Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.
Substitute the coordinates and the slope:
Simplify the R.H.S:
Add 1 both sides:
Simplify the equation:
<u>Graphing the line on a coordinate plane:</u>
In this case, we are already given a point (3, 1). We can simply plot the y-intercept ![[\bold{\frac{-1}{5} }]](https://tex.z-dn.net/?f=%5B%5Cbold%7B%5Cfrac%7B-1%7D%7B5%7D%20%7D%5D)
on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.
Graph attached**
Answer: 1.) 14.66666666666667
2.) 20
Steps:
1.) 180 = 3x + 136
180 -136 = 3x
44 = 3x
44/3 = x
14.66666666666667 = x
2.) 70 + x = 90
x = 90 - 70
x = 20
I would appreciate brainliest if this was helpful and correct! ;)
In this problem, you are asked to compute for the volume of
the spherical paintball. The formula in computing the volume of the sphere is:
V = 4/3 (pi) r^2
Where r = the radius of the sphere
Since the given measurement is in diameter, you need to
compute the radius of the sphere. The radius of the sphere is half its
diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).
Substituting the radius to the formula and using 3.14 as the
value of pi:
V = 4/3(3.14)(0.75)^2
V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic
centimeter is equal to mL)
Therefore, there are approximately 2.36 mL of paint in the paintball.
The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have 
. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. 
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!
