All categories

3 years ago

What are the slope and the y-intercept of the linear function that is represented by the graph?

Mathematics

1 answer:

Naddik [55]3 years ago

6 0

The slope is the change in y over the change in x.

The first number in the parentheses is the x value, the second number is the y value.

Slope = (0-3) / (4-0)

Slope = -3/4

The y intercept is the y value when x is 0.

The given point (0,3) has x as 0, so the y intercept would be 3

Answers: slope = -3/4, y intercept = 3

You might be interested in

Mike has 19 golf balls. Fred has 3 times as many. Rayhas half as many balls as Fred and mike combined.how many golf balls do the

ZanzabumX [31]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A1: O B. 2:1 O C. 1:1

trapecia [35]

Answer:

C. 1:1

Step-by-step explanation:

In a 45 45 90 right triangle, the side lengths for the legs are both

x and the length of the hypotenuse is $x\sqrt{2}$

8 0

3 years ago

Read 2 more answers

1. Two object accumulated a charge of

In-s [12.5K]

Answer:

The magnitude of the electric force between these two objects

will be: 181.274 N.

i.e. F $=181.274$ N

Step-by-step explanation:

Two object accumulated a charge of 4.5 μC and another a charge of 2.8 μC.

q₁ = 4.5 μC = 4.5 × 10⁻⁶ C

q₂ = 2.8 μC = 2.8 × 10⁻⁶ C

separated distance = d = 2.5 cm

Calculating the magnitude of the force between two charged objects using the formula:

$F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}$

$=\:\frac{4.5\times \:\:10^{-6}\:\times \:\:2.8\:\times \:\:10^{-6}}{4\:\times \:\left(3.14\right)\:\times \:\left(8.85\times \:10^{-12}\right)\times \left(2.5\times \:\:10^{-2}\right)^2}$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:4\times \:8.85\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $4.5\times \:10^{-6}\times \:2.8\times \:10^{-6}=10^{-12}\times \:12.6$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:35.4\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $\mathrm{Multiply\:the\:numbers:}\:4\times \:8.85=35.4$

$\mathrm{Cancel\:the\:common\:factor:}\:10^{-12}$

$=\frac{12.6}{35.4\pi \left(10^{-2}\times \:2.5\right)^2}$

$=\frac{12.6}{0.025^2\times \:35.4\pi }$ ∵ $\left(10^{-2}\times \:2.5\right)^2=0.025^2$

$=\frac{12.6}{0.022125\pi }$ ∵ $35.4\pi\times 0.025^2=0.022125\pi$

$=\frac{12.6}{0.06950 }$

F $=181.274$ N

Therefore, the magnitude of the electric force between these two objects will be: 181.274 N.

i.e. F $=181.274$ N

7 0

3 years ago

Suppose you have $5000 to invest. A certificate of deposit (CD) earns 6% annual interest, while bonds, which are more risky, ear

sergij07 [2.7K]

If you have $5000 and you invest $2000 in a certificate of deposit, you have $3000 invested in the bonds. Each earns an annual interest of 6% and 8%, respectively. The total interest is shown below,
($2000) x 0.06 + ($3000) x 0.08 = $360
Thus, the amount of the total interest is $360.

6 0

3 years ago

What’s the value of positive l5l ?

Lelechka [254]

Answer:

Step-by-step explanation:

Absolute value |x| makes any number positive.

|5| = 5

5 0

3 years ago