All categories

2 years ago

Write an equation passing through (-6,5) that is parallel to y=1/2x-7

Mathematics

1 answer:

charle [14.2K]2 years ago

4 0

Answer:

y = 1/2x + 8

Step-by-step explanation:

a parallel equation needs to have the same slope as the given equation (1/2)

what we have so far is

y = 1/2x + b

since we know this has to pass through (-6, 5)

we’ll plug in -6 for x and 5 for y to find b

5 = 1/2(-6) + b

5 = -6/2 + b

5 = -3 + b

8 = b

so web. we plug b back into the equation

the final solution is

y = 1/2x + 8

You might be interested in

Genghis Khan organized his men into groups of 10 soldiers under a "leader of 10." Ten "leaders of 10" were under a "leader of 10

Drupady [299]

Answer:

(a) 11110 soldiers

(b) 6404 soldiers

Step-by-step explanation:

Following that logic you can express the men of any level of his organization as 10^n, where n is the level. Some examples:

Level 1: 10^1 = 10

Level 2: 10^2 = 100 Each of the 10 men in level 1 are in charge of 10 men in the level 2 (10 * 10 = 100)

(a) if the lowerst level of the organization has 10,000 soldiers, then the lowest level is:

10^n = 10,000

n = 4

The total number of men under him is:

10^4+10^3+10^2+10^1 = 11110 (Assuming that he is the leader of the first 10 leaders)

(b) In this case the lowest level has 5763, you have a 1 leader for every 10 soldiers, then the leaders needed for the lowest level is:

5763/ 10 = 576.3 = 577 leaders

These 577 leaders also have their own leaders for every 10:

577/10 = 57.7 = 58 leaders

And these also have their own leaders:

58 / 10 = 5.8 = 6

And again We assume these 6 are directly under Genghis Khan

Total soldiers:

5763 + 577 + 58 + 6 = 6404 soldiers

6 0

3 years ago

6th grade math help me pleaseee

Likurg_2 [28]

Answer:

-7.96

Step-by-step explanation:

I used a calculator

6 0

2 years ago

Given the parent function of f(x) = x³, what is the value of k in the translated graph of f(x - h) + k?

jekas [21]

The value of k in the translated graph of f(x - h) + k is; k = 2

<h3>How to carry out Translations on Graphs?</h3>

We are given the parent function of f(x) = x³.

Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;

The rule of translation is;

(x, y) → (x + 3, y + 2)

That means;

The translation is 3 units to the right and 2 units up

The equation of the translated graph is equal to;

f(x) = (x - 3)³ + 2

Thus;

The value of k is equal to 2.

Read more about Graph Translations at; brainly.com/question/4025726

#SPJ1

7 0

1 year ago

Trampoline Park has an admission fee, plus an hourly fee of $4.50. What is the initial value?

anzhelika [568]

Answer:

Step-by-step explanation:

6 0

2 years ago

5x-8= 1/3 (6x+12)-3x<br><br> a) -1<br> b) -12/5<br> c)10/3<br> d) 2

chubhunter [2.5K]

Answer:

you have to do whatever is in the pertussis

5 0

3 years ago