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Vera_Pavlovna [14]
3 years ago
15

Write and equation in slope-intercept form of the line with slope -1/2 that contains the point (-4,-3)

Mathematics
1 answer:
Karolina [17]3 years ago
6 0

Answer:

y=-1/2x-5

Step-by-step explanation:

Well we know that the slope is -1/2 so we can write the equation like this:

y=-1/2x+b (This is because of y=mx+b) (m is slope) (b is y-intercept)

Now we can replace the y and x with -4 and -3 because of (x,y). (-4,-3) x is -4 and y is -3

-3=-1/2(-4)+b

-3=2+b

Subtract 2 on both side:

-2-3=2-2+b

-5=b

Answer:

y=-1/2x-5

Hope this helps!

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The surface area for a rectangular prism with a square base is SA=2s2+4sh. What is the surface area if s=3 and h=5?
Zigmanuir [339]

Answer:

The surface area is 78 unit square.

Step-by-step explanation:

Given : The surface area for a rectangular prism with a square base is SA=2s^2+4sh.

To find : What is the surface area if s=3 and h=5?

Solution :

The surface area for a rectangular prism with a square base is SA=2s^2+4sh

Substitute, s=3 and h=5

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Therefore, The surface area is 78 unit square.

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2 years ago
There are 207 students in 9 classes at this rate how many are in 6 classes
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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
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