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mixer [17]
3 years ago
8

Explain the steps in finding the midpoint of the points (-1,2) and (3,-6). The state the midpoint

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Answer:

(1, -2)

Step-by-step explanation:

midpoint x = (x₁ + x₂) / 2

midpoint y = (y₁ + y₂) / 2

(\frac{-1 + 3}{2} , \frac{2 + -(6)}{2} )

  = (1, -2)

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Write the slope intercept form of the equation of the line through the given points and slope 1,1 and slope of -3/5
Maslowich

Slope is already given in the question so we only need to solve for the y-intercept.

Slope intercept form: y = mx + b

m = slope

b = y-intercept

-3/5 = -0.6

1 = -0.6(1) + b

1 = -0.6 + b

1 + 0.6 = -0.6 + b + 0.6

1.6 = b

Now, write in slope-intercept form.

y = -3/5x - 1.6

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7 0
3 years ago
If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
denpristay [2]

Answer:

x=14

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if (x-4) and (y+3) vary inversely, their product will be the same for all values of x-4 and y+3.

Let x=8 and y=2 as given in the problem. Substitute values:

(8-4)(2+3)=(4)(5)=20

Hence, the maintained product is 20.

Thus, we have the following equation:

(x-4)(y+3)=20

Substitute y=-1 to find the value of x when y=-1:

(x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}

3 0
2 years ago
10 - 5 2/3 = ? not in decimal form only fraction .
Dmitrij [34]

it would equal the same mixed number. 5 2/3

3 0
3 years ago
Read 2 more answers
Can someone help me with this ASAP please I’m being timed !
Paladinen [302]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
On a map the distance from Fort Collins to Cheyenne is 3.2 inches. The angle formed at Laramie has measure 43.6º, and the angle
MArishka [77]
We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).

The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).

We can use the law of sines to solve this where:

sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
LC = 3.2 (sin46.5/sin43.6)
LC = 3.37 inches

We are told 1 in = 10.6 miles, therefore:

3.37 inches x 10.6 miles/in = 36 miles from Laramie to Cheyenne.
7 0
3 years ago
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