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Natasha2012 [34]
2 years ago
15

Find the slope of the line that passes through: (-4, 7) and (-6,-4)

Mathematics
1 answer:
kramer2 years ago
8 0
The correct slope is 11/2. You can find this with the rise and run method or converting to slope intercept form which is y=11/2x+20.
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Find the coordinates of the vertices of the figure formed by each system of inequalities. x + y < 9 x - 2y < 12 y < 2x
Vladimir [108]

Answer:

b. (10, -1), (-6, -9), (2, 7)

Step-by-step explanation:

One way to solve this problem is by graphing (see attachment). In fact, that actually is the easiest way to do this.

First, graph x + y < 9 (red part on the attachment). To do this, isolate the y so that it's like a regular linear equation: y < -x + 9. Graph the line y = -x + 9 first, and then choose a point either on the left or right of the line to plug in for x and y.

Let's just choose (0, 0), which is on the left of the line: 0 < -0 + 9  ⇒  0 < 9. Since this is a true statement, we know that we should shade the left side of the equation, and not the right side.

Now, graph x - 2y < 12 (blue part on the attachment). It's the same process here as the first inequality. For this one, we find that we also shade to the "left" of the line (it's more "up" than "left", but you get the idea).

Finally, graph y < 2x + 3 (green part on the attachment). Again, it's the same process. For this, we shade to the right.

Now look at the three points that they intersect at: they are (2, 7), (-6, -9), and (10, -1). The answer is thus B.

7 0
3 years ago
Read 2 more answers
Brielle and Joshua are running a half marathon race, which is 13.1 miles long. It
Hitman42 [59]

Answer:Brielle will run the half marathon race faster.Brielle will take 1 hour 44 minutes and 48 seconds, Joshua will take 2 hours 37 minutes and 12 seconds

Step-by-step explanation:

10 / 1.25 = 8

8 minutes a mile

18 / 1.5 = 12

12 minutes a mile

Brielle will run the half marathon race faster.

8 x 13.1 =104.8

12 x 13.1=157.2

104.8 - 60=

44.8

60 seconds x .8= 48

Brielle will take 1 hour 44 minutes and 48 seconds

157.2 - 120 = 37.2

60 seconds x .2 = 12

Joshua will take 2 hours 37 minutes and 12 seconds

8 0
3 years ago
Algebraic expression the sum of 27 and twice the opposite of why
gogolik [260]

27 + 2×(-why)

matches your English expression.

4 0
3 years ago
DIVIDE WRITE YOUR ANSWER IN SIMPLEST FORM 7/6 DIVIDED BY 2
Nataly [62]

Answer:

7/12

Step-by-step explanation:

  1. when you divide 7/6 by 2, you have to make the 2 into a fraction; which would be 2/1.
  2. you would flip the 2/1 to 1/2, and make the divide sign into a multiplication sign.
  3. then just multiply! hope this helps! :)

7 0
2 years ago
A carpenter needs 9.3 feet of rope for a project. How much will the carpenter spend if the rope costs $3.82 per foot?
den301095 [7]

The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526

<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>

The length of rope is given as:

Length = 9.3 feet

The price per rope is given as:

Price per rope = $3.82 per foot

The total amount spent by the carpenter is calculated as:

Total amount = Length * Price per rope

Substitute the known values in the above equation

Total amount = 9.3 feet * $3.82 per foot

Evaluate the product

Total amount = $35.526

Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526

Read more about products at:

brainly.com/question/10873737

#SPJ1

4 0
1 year ago
Read 2 more answers
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