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ch4aika [34]
3 years ago
8

write an equation in point-slope form for the line through the given point with the given slope (10,-9);m=-2​

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer:

The answer is

<h2>y + 9 =  - 2(x - 10)</h2>

Step-by-step explanation:

To find the equation of a line given a point and slope we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

m is the slope

( x1 , y1) is the point

From the question

Slope / m = - 2

The point is ( 10, - 9)

Substitute the values into the above formula

That's the final answer is

<h3>y + 9 =  - 2(x - 10)</h3>

Hope this helps you

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Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.
atroni [7]

Answer:

It will cost $42 for 28 binders

Step-by-step explanation:

We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.

To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.

Applying this, we get

(15 binders)/15 = (22.5 dollars)/15

1 binder = 1.5 dollars

For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.

For 30 binders, this would cost 30*15=45 dollars

For 28 binders, this would cost 1.5 * 28 = 42 dollars

For 48 binders, this would cost 1.5*48 = 72 dollars

The only one that matches up is 28 binders for 42 dollars

8 0
3 years ago
The slope of a line passing through the points (-2, 3) and (2, 7) is 1. a)True b) False
Paraphin [41]
<h3>Answer: True</h3>

Slope formula

m = (y2 - y1)/(x2 - x1)

m = (7 - 3)/(2 - (-2))

m = (7 - 3)/(2 + 2)

m = 4/4

m = 1

7 0
2 years ago
Read 2 more answers
The graph below shows the solution set of which inequality ?
Anestetic [448]

Answer:

E. |x| < 100.

Step-by-step explanation:

The solution of an absolute value function of the form |x| < a represents the set of values of x so that -a < x < a. The solution must be at least |x| < 7. Hence, the right choice is |x| < 100.

5 0
3 years ago
Is -2 in the range of the function y = x2<br><br> Yes or no and why?????
marta [7]

Answer:

yassss

Step-by-step explanation:

7 0
3 years ago
Write each decimal as a fraction or mixed number in simplest form.<br> 1 3/8
Mnenie [13.5K]

3/2

<em>Step One:</em> 1 3/8, transform the number into a improper fraction:

  1. To have a mixed number in to a improper fraction, you need to use            addition and multiplication.  For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1).  8x1= 8
  2. NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).
  3. After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12
  4. Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8
  5. We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8.
  6. 4 can be divide by both number so: 12/4= 3 and 8/4=2
  7. Now 3 is are simplify numerator and 2 is are simplify denominator.

8 0
2 years ago
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