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3 years ago

HELP! Which points could be on the line that is parallel to gh and passed through point J ? Check all that apply

Mathematics

2 answers:

Viefleur [7K]3 years ago

8 0

Answer:

A,D,E

Step-by-step explanation:

denis23 [38]3 years ago

3 0

The first thing we are going to do in this case is find the slope of the GH line.We have then:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (- 2-1) / (2 - (- 4))
m = (- 3) / (6)
m = -1 / 2
Then, the generic equation of the line is:
y-yo = m (x-xo)
Since the lines are parallel, then the slope is the same
m = -1 / 2
The line passes through point J, that is:
(xo, yo) = (1, 3)
The equation of the line will then be:
y-3 = (- 1/2) (x-1)
Rewriting:
y-3 = (- 1/2) x + 1/2
y = (- 1/2) x + 1/2 + 3
y = (- 1/2) x + 7/2
The points that pass through this line are:
(-3, 5)
5 = (- 1/2) (- 3) +7/2
5 = 3/2 + 7/2
5 = 10/2
5 = 5
(3, 2)
2 = (- 1/2) (3) +7/2
2 = -3 / 2 + 7/2
2 = 4/2
2 = 2

(5, 1)
1 = (- 1/2) (5) +7/2
1 = -5 / 2 + 7/2
1 = 2/2
1 = 1
Answer:
(-3, 5)
(3, 2)
(5, 1)

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<img src="https://tex.z-dn.net/?f=%2826%20%5Cdiv%20100%29%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5Ctimes%2010" id

taurus [48]

Answer:

$\boxed{\bf \: \cfrac{13}{5}}$

Or in Decimal:

$\boxed{\bf \: 2.6}$

Step-by-step explanation:

Given expression :-

$\sf \: ( 26 \div 100) \times 10$

Solution :-

$\sf = (26 \div 100 )\times 10$

This arithmetic expression may be rewritten as ;

$\sf = \cfrac{26}{100} \times 10$

Step 1 : Cancel the zero of 10 and one zero of 100 :-

$\sf = \cfrac{26}{10 \cancel0} \times 1 \cancel0$

Results to;

$\sf = \: \cfrac{26}{10} \times 1$

$\sf = \: \cfrac{26}{10}$

Step 2: Cancel 26 and 10 by 2 :-

$\sf = \cfrac{ \cancel{26}}{ \cancel{10}}$

Results to;

$\sf = \cfrac{ \cancel{26} {}^{13} }{ \cancel{10} {}^{5} }$

$\sf = \cfrac{13}{5}$

It can also be in Decimal.

That is;

$\sf = 2.6$

Hence, the answer of the expression would be 13/5 or 2.6 .

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

I am joyous to help!

3 0

3 years ago

Read 2 more answers

Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same? Yoga

sergiy2304 [10]

Answer:

14.02

Step-by-step explanation:

You'd have to write equations for the price per month for each club.

Let x equal the number of months of membership, and y equal the total cost.

Club A's is y = 24x + 21.50 and Club B's is y = 17.25 x + 41.00 Because we know that the prices, y , would be equal, we can set the two equations equal to each other.

24x + 21.50 =17.25 x+ 41.00

subtract 21.50 both sides

. We can now solve for x by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

After five months, the total cost would be the same.

4 0

3 years ago

If f(x) = 4x - 6, what is f(6)? A. 4 B. 32 C. 3 D. 18

Sliva [168]

Your answer is D you’re welcome!

4 0

2 years ago

According to psychologists, IQs are normally distributed, with a mean of 100 and a standard deviation of 15 . a. What percenta

Angelina_Jolie [31]

Answer: 34%.

By definition of normal distribution, ≈68% of the data is within 1 standard deviation of the mean. Therefore 68% of IQs are between 85 and 115, and half of that is on the lower end, 85 to 100.

3 0

3 years ago

A triangle has an area of 35 square inches. the length of one of the sides it 10 inches. what is the length of the perimeter? in

Serggg [28]

The perimeter would be about 34.4 because if you choose the bottom side to be ten, by multiplying 35 by 2 to get 70 you can divide by 10 to get 7. Since you know the height and width, you can use pythagorean theorem, a^2 + b^2 = c^2. Plug in the numbers you have 10^2+7^2=c^2. c^2=149, so if you square root 149 you will get a irrational number but when rounded you get 12.2- so that is one side multiply by 2 and get 24.4- and add 10 to get 34.4

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3 years ago