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Lerok [7]
2 years ago
9

A line in the Cartesian plane passes through the points ( 5,8) and (9, 15) . What's the slope of the line? A. 4/7 B. 7/4 C. - 4/

7 D. -7/4
Mathematics
1 answer:
Rudik [331]2 years ago
5 0

Answer:

B. 7/4

Step-by-step explanation:

To find the slope of the two points (5,8) and (9,15) we have to use the slope formula

slope=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }             slope=\frac{15-8}{9 -5}      

slope=\frac{7}{4}  can also be written as a decimal  slope=1.75

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The length of a board is 2 5/8 feet long. If 5/6 of a foot is trimmed off, find the new length
nalin [4]

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify --->  5/6 ⋅ x = 2 5/8

                                                      5/6 ⋅ x = 21/8              

                                                      (multiply both sides by 6)

                                                      5x = 63/4

                                                      (divide both sides by 5)

                                                      x = 63/20

                                                      x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.

6 0
2 years ago
You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
wel

Answer:

D

Step-by-step explanation:

To check this answer, you could obviously graph the points, but without graphing, you can tell the line would be straight because each x value is multiplied by the same number to get the corresponding y value.

3 x 5 = 15, 4 x 5 = 20, etc. This shows linear growth. If each x value were multiplied by twice itself (3 x 6, 4 x 8, and so on), you wouldn't have a straight line because the number that x is multiplied by changes depending on the value of x.

7 0
3 years ago
Shannon Perfumeries sells two fragrances. The table contains the price corresponding to the number of bottles of fragrance A. Bo
Aliun [14]
<span>Table
Bottles Price($)
3           78
6           156
9           234

From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.

That means that the unit rate of this fragance is $26.

If you call x the number of bottles the equation is

Price = unit rate * number of bottles = 26x.

Now compare this information with that on your graph to compare the unit rates.

This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =

[change in y-coordinate] / [change in the x-coordinate]
</span>
5 0
3 years ago
Read 2 more answers
Jamal is running 42 kilometers. The amount of time t it takes Jamal to run varies inversely with the rate, r, at which he runs,
leva [86]

Answer:

t α 1 /r ; t = k/r

Step-by-step explanation:

Given that :

Time taken, t varies inverse as rate, r

MATHEMATICALLY,

t α 1 /r

Hence,

t = k/r ;

Where, k is the proportionality constant

Hence, the situation could be expressed as :

t = k/r OR

t α 1 /r

6 0
3 years ago
Line t has an equation of y = -8x + 7. Line u includes the point (-1, 7) and is parallel to line
umka2103 [35]

Answer:

y = -8x - 1

Step-by-step explanation:

y = mx + b

7 = -8 (-1) + b   Substitute in points for x and y. Substitute -8 for m (parallel)

7 = 8 + b

-1 = b

8 0
3 years ago
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