All categories

4 years ago

What is the slope of the line that is parallel to the line shown?

Mathematics

1 answer:

kaheart [24]4 years ago

4 0

2 coordinate points on graph (0,3) and (3,2)
slope = (y2-y1)/(x2 - x1)
slope = (2-3)/(3-0) = -1/3

parallel lines have same slope so slope = -1/3

answer
<span>C) -1/3</span>

You might be interested in

In a study of 100 new cars, 29 are white. find and , where is the proportion of new cars that are white

fgiga [73]

The answer will be 2,900 HOPES this helps. :)

7 0

4 years ago

Identify the 42nd term of an arithmetic sequence where a_1=-12 and a_27=66

Wittaler [7]

Answer:

a₄₂ = 107

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂₇ = 66 , then

a₁ + 26d = 66 , that is

- 12 + 26d = 66 ( add 12 to both sides )

26d = 78 ( divide both sides by 26 )

d = 3

Then

a₄₂ = - 16 + (41 × 3) = - 12 + 123 = 111

3 0

3 years ago

Read 2 more answers

A rock is thrown upward with a velocity of 18 meters per second from the top of a 37 meter high cliff, and it misses the cliff o

zhenek [66]

Answer:the rock would be at a point 12 m from water

Step-by-step explanation:

8 0

3 years ago

the volume of the cone is 25.12cm cubed, and the area of the base is 12.56cm squared.what is the height

Lady bird [3.3K]

Height of the cone having volume as $25.12 \text { cm}^{3}$ and base area $12.56 \text { cm}^{2}$ is 6 cm.

Solution:

Given that volume of cone = $25.12 \text{ cm}^{3}$

Area of base = $12.56 \text { cm}^{2}$

Need to determine height of the cone.

Formula for volume of the cone is as follows

$\mathrm{V}_{c}=\frac{1}{3} \pi r^{2}{h} \rightarrow (1)$

Area of circular base of cone = $A_{b}=\pi r^{2}$

Replacing $\pi r^{2} \text { by } A_{b}$ in equation (1), we get

$\mathrm{V}_{\mathrm{c}}=\frac{1}{3} \mathrm{A}_{\mathrm{b}} \mathrm{h}$

$\Rightarrow \frac{3 \mathrm{V} c}{\mathrm{A}_{\mathrm{b}}}=h$

$\Rightarrow h=\frac{3 \mathrm{v} c}{\mathrm{A}_{\mathrm{b}}} \rightarrow (2)$

In our case Volume of cone $V_c= 21.12 \text{ cm}^3$ and Area of base $A_b=12.56 \text { cm}^2$

On substituting the values of volume and area in equation 2 we get

$h=\frac{3 \times 25.12}{12.56}=6 \text{ cm }$

7 0

3 years ago

Using a Table to find the Constant of Proportionality

muminat

Answer:

k = 12

Step-by-step explanation:

The constant of proportionality k is the ratio

k = $\frac{laps}{swimmers}$

Use any ordered pair from the table to find k

Using number of laps = 240, number of swimmers = 20 , then

k = $\frac{240}{20}$ = 12

4 0

3 years ago