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3 years ago

Find the slope and the y-intercept of the line.

Mathematics

1 answer:

lisov135 [29]3 years ago

5 0

Answer:

The slope is 5/4 and the y-intercept is 2.

Step-by-step explanation:

5x-4y=-8

4y=5x-(-8)

4y=5x+8

y=5/4x+8/4

y=5/4x+2

y=mx+b where m=slope and b=y-intercept.

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Which of the following points could be the initial point of vector v if it has a magnitude of 10 and the terminal point (-2,4)?

podryga [215]

Use the distance formula;
10=√(-2-x)²+(4-y)²
Now put the options one by one into the above equation;
you find that option b satisfies the equation which is the correct answer.

4 0

4 years ago

Read 2 more answers

Solve the equation 3x + 5y = 15 for y.

Naddika [18.5K]

Answer:

$y=\frac{-3}{5}x+3$

I don't see this in any of your choices.

Please be sure the problem and choices are as you want them to be seen by others. Thanks kindly.

I do hope my answer is helpful.

Step-by-step explanation:

$3x+5y=15$

We want to get the term that contains $y$ by itself.

This means we want to get $5y$ by itself first.

To do this I need to get rid of the plus $3x$ on that side.

I will do the inverse operation of that; I will subtract 3x on both sides.

$3x+5y=15$

-3x -3x

$5y=15-3x$

$5y=+15-3x$

$5y=-3x+15$ since addition is commutative.

Now we have the 5y term by itself. We want the factor y in 5y by itself.

To undo multiplication you must divide. We will divide both sides by 5:

$5y=-3x+15$

------------------------------

$\frac{5y}{5}=\frac{-3x+15}{5}$

$y=\frac{-3x}{5}+\frac{15}{5}$

$y=\frac{-3}{5}x+3$

7 0

3 years ago

Suppose that a leatherback turtle swam 7.5 kilometers in 3 hours at a constant speed. At this rate, how long would it take the t

mario62 [17]

Answer: It would take the turtle a total of 4 hours to swim 10 kilometers

Step-by-step explanation:

3 × 10 = 30

30 ÷ 7.5 = 4

3 0

3 years ago

I need desperate help PLEASE!!!

koban [17]

Answer:

OPTION B

OPTION D

Step-by-step explanation:

An element in the domain should be mapped to exactly one element on the co-domain. Also, every element in the domain should be mapped to an element in the co-domain.

These two conditions are satisfied to call a relation, a function.

Two different elements in the domain can be mapped to the same element in the co-domain. But the same element in the domain cannot be mapped to two different elements in the co-domain.

A) {(3,7), (3,6), (5,4), (4,7)}

Here, the element '3' in the domain is mapped to two elements 7 and 6. So, it is not a function.

B) {(1,5), (3,5), (4, 6), (6,4)}

This is a function because all the elements in the domain have a unique image in the co-domain. So, this is a function.

C) {(2,3), (4,2), (4,6), (6,4)}

Here, the element '4' in the domain is again mapped to two different elements. Hence, it cannot be a function.

D) {(0,4), (3,2), (4,2), (6,5)}

This is again a function. Because the domain is mapped to unique elements. So, this is a function.

4 0

3 years ago

In Katy’s garden there are 105 ladybugs. They are increasing at two ladybugs per month. There are currently 175 aphids and the n

Ghella [55]

Answer:

They won't ever be the same at the same time.

explanation:

Add 2 to 150 and subtract 3 from 175 till you hit a common number at the same month

150, 152, 154, 156, 158, 160, 162

175, 173, 170, 169, 166, 163, 160

seeing as they have already passed each other, its not possible for the numbers to be the same at the same time.

5 0

3 years ago