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Greeley [361]
3 years ago
14

Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.A y = −3x − 13 ,B y = −3x + 1

1 ,C y = −3x + 13, D y = −3x + 1
Mathematics
1 answer:
timurjin [86]3 years ago
4 0

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (2, - 5) into the partial equation

- 5 = - 6 + c ⇒ c = - 5 + 6 = 1

y = - 3x + 1 → D

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The diagonals of a quadrilateral QRST intersect at P(-1,3). QRST has vertices at Q(3,6) and R(-4,5). What must be the coordinate
erica [24]

S = (-5,0)

T = (2,1)

Step-by-step explanation:

Step 1 :

Given

Q = (3,6) and R = (-4,5). P = (-1,3)

Let S be (a,b) and T be (c,d)

The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.

Step 2 :

P is the midpoint  of QS

So we have (3+a) ÷ 2 =  -1  and (6 + b) ÷ 2 = 3

=> 3 + a = -2    and 6 + b = 6

=> a = -5  and b =0

So S should be (-5,0)

Step 3 :

P is the midpoint  of RT

So we have (-4+c) ÷ 2 =  -1  and (5 + d) ÷ 2 = 3

=> -4+ c = -2    and 5 + d = 6

=> c = 2  and d =1

So T should be (2,1)

Step 4 :

Answer :

S = (-5,0)

T = (2,1)

6 0
3 years ago
A man loses 30% by selling an article for 14 naira. what was the cost price of the article?​
antiseptic1488 [7]
Loses 30% of what his money
8 0
3 years ago
You make picture frames to sell at the flea market; you spent $46 on supplies and you want to sell the frames for $8.50 each. Ho
BARSIC [14]
<h3>Answer: 6 Frames</h3>

Before we start, let us figure out what profit means?

Profit is the money you make.

Note: Income is the money you receive, and expenses are the money you spend on your business.

If you sold five frames, you would make: (8.50 x 5 = $42.50)

Note: $42.50 <u>is not</u> greater than your expenses, so you haven't make any profit yet.

If you sold six frames, you would make: (8.50 x 6 = $51.00)

Note: $51.00 <u>is</u> greater than your expenses, so you made some profit.

<h3>Additional Information</h3>

To find the money you made or your profit, simply subtract the money you received from your expenses.

$51.00 - $46.00 = $5.00

You only made <u>$5.00</u>, but to make a larger profit, you have to sell more frames.

<h3>Conclusion</h3>

I hope my explanation provided excellent aid. Oh, and you're welcome.

3 0
3 years ago
One, no, or infinitely many solutions
rusak2 [61]

Answer:

Only one solution

Step-by-step explanation:

Given:

2c + 4 - 3c = -9 + c + 5

Find:

Number of solution

Computation:

2c + 4 - 3c = -9 + c + 5

-c + 4 = -4 + c

-2c = -8

c = 4

Only one solution

6 0
3 years ago
A car dealer offers a discount of 15% off the normal price of a car for cash.
motikmotik

Answer:

7200

Step-by-step explanation:

100/(100-15) * 6120 = 7200

6 0
3 years ago
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