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Marizza181 [45]
3 years ago
10

Indicate the equation of the given line in standard form.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

The line through (a,b) with slope m is

y-b = m(x-a)

Here that's

y + 1 = (3/4) (x - 2)

Let's multiply by 4 to clear the fractions and distribute the constants,

4y + 4 = 3x - 6

Rearranging into standard form,

3x - 4y = 10

Check.  The slope is 3/4, good. 3(2) - 4(-1) = 6+4 = 10 good

Answer: 3x - 4y = 10

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While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff r
user100 [1]

Answer:

The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

 each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….  (constant difference is 3)

# 5  ,  10  ,  15  ,  20  ,  …………………………  (constant difference is 5)

# 12  ,  10  ,  8  ,  6  ,  ……………………………  (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

 U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- So the nth term is Un = a + (n – 1)d, where n is the position of the

 number in the series

* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

- He plans on increasing the number of miles he runs a day by 1

∴ The constant value is 1 mile

-  On the first day of training, Jeff runs 5 miles

∴ The first value is 5 miles

∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

∵ The week has 7 days

∴ The series has 7 terms

∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

- Substitute n from 1 to 7 to find the series

∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

6 0
3 years ago
The midpoint of EF is M(4,10). One endpoint is E(2,6). Find the coordinates of the other endpoint F.
Licemer1 [7]
You will need to set equations to solve for x and y coordinate.
(2+x)/2=4
2+x=8
x=6

(6+y)/2=10
6+y=20
y=14

The answer is A. (6,14)
5 0
3 years ago
Please answer fully​
Andrews [41]

Answer:

There is a 1/6 chance of rolling a certain number and 1/2 chance of getting a heads.

1/6 x 1/2 = 1/12 so C.

1 is the chance of getting the wanted number / 6 is all the numbers in total

When there are multiple chances you just multiply the fractions

Step-by-step explanation:

4 0
3 years ago
Sally is making 15 individual blueberry cheesecakess. How many pounds of blueberries will be in each cheesecake if 514 pounds of
Ne4ueva [31]

Answer:

34.26

Step-by-step explanation:

514 divide by 15 cheesecakes is 34.26 repeating

6 0
3 years ago
HELP FIND THE SLOPE OFTHIS GRAPH
dybincka [34]

Answer:

-1.25

Step-by-step explanation:

Your points one the graph are (-4,4) and (0,-1)

Formula for slope is y1-y2/x1-x2

4--1/-4-0

5/-4

-1.25

7 0
3 years ago
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