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SOVA2 [1]
3 years ago
5

Use the points (1, -3) and (5, 9) for the following problems. a. Determine the slope between the two points above using the slop

e formula. Show all work.
b. Use the slope from part (a) and one point from above to write the equation in point-slope form.
Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Slope =3

process--

\frac{9- (-3)}{5-1}=\frac{12}{4} =3

Point-slope form is 3x-y-6=0 (using the first set of points, (1,-3) )

process--

y-9=3(x-5)

y-9=3x-15

y=3x-15+9

y=3x-6

<u><em>3x-y-6=0</em></u>

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I'm trying to find 1, 2, &amp; 3 but idk how? Sry if it's sideways I'm new ​
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

m∠1+∠2=180

2x+40+2y+40=180

2x+2y=180-80

2x+2y=100

x+y=50

x=50-y

m∠1=m∠3

2x+40=x+2y

2x-x=2y-40

x=2y-40

2y-40=50-y

2y+y=50+40

3y=90

y=30

x=50-y=50-30=20

m∠1=2x+40=2×20+40=80°

m∠2=2y+40=2×30+40=60+40=100°

m∠3=x+2y=20+2×30=80°

6 0
3 years ago
PLEASE HELP ASAP PLS !!! WILL MARK BRAINLIEST !!
barxatty [35]

Answer:

i believe it's 31°. not messing around either

7 0
3 years ago
A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi
Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

\text{Volume of the cyllinder}= \pi r^2h

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h

Substitute the values,

\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3

                                  = \dfrac{4}{3}\pi r^3\\\\=  \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water =  Volume of the cylinder - Volume of the sphere

                                   = 1696.46 - 113.097

                                   = 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

5 0
2 years ago
1.) A florist sells bouquets for $12.25 each. Amiyah
deff fn [24]

Answer:

Step-by-step explanation:

J

6 0
3 years ago
4.2z + 3.8z simplify the expression ​(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole n
alexandr1967 [171]

Answer:

8z

Step-by-step explanation:

Since these are like terms, add the numbers together and then put the z on.

4 0
3 years ago
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