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Andrew [12]
3 years ago
15

Write the equation of a line in slope-intercept form that has a slope of -1/4x and a y-intercept of 5

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

Step-by-step explanation:

Slope = m = -1/4

y-intercept = b = 5

Slope intercept form = y = mx +b

y =\dfrac{-1}{4}x+5

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five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0
3 years ago
What is 700,000,000,000 written in scientific notation?
Cerrena [4.2K]
The answer is 7*10^11
6 0
3 years ago
It's due in like 10 minutes please help me out
Naily [24]

Answer:

it should be x=4

Step-by-step explanation:

The line that is perpendicular to

y

=

−

3

is a horizontal line, because horizontal and vertical lines (

x

- and

y

- axes for example) are perpendicular. Therefore, this line will take the form

x

=

n

where

n

is the

x

-coordinate of the point passed through. The

x

-coordinate of the given ordered pair

(

4

,

−

6

)

is

4

, so the equation must be

x

=

4

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3 years ago
1. Multiply 5.4(-0.42)
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Is A -2.268 did you actually multiply? Is easy
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3 years ago
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What is the answer of 1 + 1
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Lol the answer is 69
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3 years ago
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