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tangare [24]
4 years ago
12

What is the equation of a line passing through (-6,5) and having a slope of 1/3 (1 over 3) ?

Mathematics
2 answers:
krek1111 [17]4 years ago
7 0
The answer is y=(1/3)x+7, use y=mx+b and solve for b where m is slope
Nikitich [7]4 years ago
3 0
\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{5})\qquad 
\qquad \qquad 
slope =  m \implies \cfrac{1}{3}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=\cfrac{1}{3}[x-(-6)]\implies y-5=\cfrac{1}{3}(x+6)
\\\\\\
y-5=\cfrac{1}{3}x+2\implies y=\cfrac{1}{3}x+7
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Elimination method. -2y = 0.5 - 2x<br> 6х + Зу = 6
AysviL [449]

Answer:

y=-1.5

X=1.75

Step-by-step explanation:

Yuh arrange the equations in order for easy subtracting of the equations.

-2y=0.5-2x. divide both sides by 2 to get y=-x-0.25.

6x+3y=6

3y=-6x+6 then divide both sides by three to get y

y=-2x+2

now arrange

y=-2x+2

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8 0
3 years ago
Scientists want to estimate the mean weight of mice after they have been fed a
krek1111 [17]

Answer:

n = 484

Step-by-step explanation:

If Confidence Interval  CI = 95 %   then α = 5%  and α/2 = 2,5 %

α/2 = 0,0125

MOE for normal distribution is:

MOE = z * σ/√n

For α/2 = 0,0125    ⇒ z(score) = -2,2

MOE = |-2,2| * 4/√n

0,4*√n = 8,8

√n = 8,8 / 0,4

√n = 22

n = 484

5 0
3 years ago
Sac had a rope that was 15 feet long. He cut it into three pieces. The first piece was 3.57 feet longer than the second piece. T
harina [27]

Answer:

5.79 feet

Step-by-step explanation:

Let us represent

First piece = x

Second piece = y

Third piece = z

Sac had a rope that was 15 feet long.

x + y + z = 15

He cut it into three pieces.

The first piece was 3.57 feet longer than the second piece.

x = 3.57 + y

The third piece was 2.97 feet longer than the second piece.

z = 2.97 + y

How long was the third piece of rope?

x + y + z = 15

3.57 + y + y + 2.97 + y = 15

3y + 6.54 = 15

3y = 15 - 6.54

3y = 8.46

y = 8.46/3

y = 2.82 feet

Therefore, the length of the third piece z = 2.97 + y

z = 2.82 + 2.97

z = 5.79 feet

7 0
3 years ago
Larry use a pattern of colors to make a Q train he use a regular a blue cube a Red Cube and another Red Cube before he start the
malfutka [58]
Larry will use 10 red cubes and 5 blue cubes
5 0
4 years ago
Find the perimeter of the triangle. Round to the nearest tenth.
serious [3.7K]

Answer:

B)   17.1

Step-by-step explanation:

g = 5

f = 5

That means we have a 45-45-90 triangle

and the hypotenuse = \sqrt{2} times the length of a leg

Therefore, h = 5\sqrt{2} = 7.1

5 + 5 + 7.1 = 17.1

Note:  If you have not been taught about 45-45-90 triangles, then use the Phythagorean theorem.  OK?

4 0
3 years ago
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