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3 years ago

If y = x+ 5 were changed to y = x + 9, how would the graph of the new

Mathematics

2 answers:

timofeeve [1]3 years ago

4 0

B. It would be shifted up

SSSSS [86.1K]3 years ago

4 0

Answer: B. It would be shifted up.

Step-by-step explanation: We are changing the last number only. This number determines where the y-intercept is, which is on the vertical axis. Since the number increases by 4, the y-intercept would be shifted up by 4, without changing the slope. Therefore, the answer would be B. It would be shifted up.

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(a) Write down the gradient of the line with equation y = 7 - 4x The line L passes through the points with coordinates (- 3, 1)

lesya [120]

Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

$y=7-4x$

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

$y=mx+b$ ...(i)

We have,

$y=7-4x$ ...(ii)

On comparing (i) and (ii), we get

$m=-4$

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-2-1}{2-(-3)}$

$m=\dfrac{-3}{2+3}$

$m=\dfrac{-3}{5}$

Therefore, the gradient of the line L is $\dfrac{-3}{5}$ .

6 0

3 years ago

The product of two natural numbers is 1000. None of them is divisible by 10. Find their sum.

daser333 [38]

Two numbers make up the factors of 1000. <span>In order that neither of the numbers be divisible by ten, each must contain powers of only one of the prime factors of 10, namely, 2 OR 5.</span>

So let's see what we can cook up. The obvious answer is

1000 = 10 * 10 * 10

1000 = 2*5 * 2*5 * 2*5

1000 = 2^3 * 5^3

1000 = 8 * 125 Are there any others?

I don't think so. The answer then comes to 8 + 125 = 133

You might argue that -8 * - 125 would also work. But the question says natural numbers not integers.

5 0

4 years ago

Max ran a total of 5 miles around a track. Each lap was 1/8 of a mile. Zachary ran 36 laps around the track. Who ran more laps?

igomit [66]

Max ran more than zachary because, max ran 5 miles. 5 miles x 8 laps per mile is 40 miles.

6 0

4 years ago

Read 2 more answers

Mrs. Trout estimated her math class next year would include 28 students. The actual size of the class turned out to be 32 studen

Nutka1998 [239]

Answer:

Step-by-step explanation:

because that is not the correct way to calculate percentage

4 0

3 years ago

Read 2 more answers

What is the common denominator 4/15 and 1/3? Need answers ASAP

vlabodo [156]

Answer:

Step-by-step explanation:

To find the common denominator we look for the LCM

15: 15,30,45,60

3: 3,6,9,12,15

Our LCM is 15

Meaning our LCD is 15

Brainliest please :)

3 0

3 years ago