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allsm [11]
4 years ago
8

Write an equation in slope intercept form for the line that passes through (-2,3) and is parellel to the line whose equation 3x+

2y=6
Mathematics
1 answer:
Viktor [21]4 years ago
5 0
Parallel lines refers to a pair of straight lines that never intercept or touch each other. The slopes of this lines is the same one.

On this exercise is given the equation of a line and a point, and is asked to find the equation of a line in slope-intercept form that is parallel to the given one, and that passes through the given point. 

3x+2y=6              Subtract 3x in both sides
2y=-3x+6             Divide by two in both sides to isolate y
y=-3/2x+3

The slope of the given line is -3/2, which means that the slope of a line parallel to this one, have to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the slope-intercept form y=mx+b, where letter m represents the slope.

y=mx+b                Substitute the values of the given point and slope
3=(-3/2)-2+b         Combine like terms
3=3+b                   Subtract 3 in both sides
0=b

The equation in slope intercept form for the line that passes through the point (-2,3) and is parallel to the line whose equation is 3x+2y=6 is y=-3/2x or y=-3/2x+0.

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The right triangle shown has angles X, Y, and Z and side lengths a, b, and
laiz [17]
So attached is a picture of the triangle you are talking about and listed under are the choices:

A.) Cos Z=b/c 
B.) Sin X=c/b 
C.) Tan X=b/a 
<span>D.) Tan Z=a/b
</span>
The answer would then be B. SinX = c/b.

Just remember SOH CAH TOA:

Sinθ=  Opposite         Cosθ =    Adjacent             Tanθ=   Opposite
         Hypotenuse                   Hypotenuse                        Adjacent

Using the triangle in the scenario, you just need to identify which side is which. 

Given m∠Z
Adjacent = b
Opposite = a
Hypotenuse = c

SinZ=  a         CosZ = b             TanZ= a 
            c                      c                        b

Given m∠X:

Adjacent = b
Opposite = a
Hypotenuse = c

SinX= <u> b </u>        CosX =<span><u> a </u></span>            TanX=<span><u> b </u></span>
            c                      c                        a

So the answer is B. 

Attached is a picture of how I assigned the sides depending on the angle used.

4 0
4 years ago
Find the sum or difference of the following.<br> (42y + 7) - (3y + 6)
Furkat [3]

Answer:

y=-1/39

Step-by-step explanation:

(42y+7)-(3y+6)

(39y+7)-(6)

(39y)=-1

y=-1/39

6 0
3 years ago
What a the advantages and disadvantages of investing your money in a Certificate of deposit rather than a regular savings accoun
Dominik [7]

Answer:

well obviously if you invest in something it could not work out, and you would lose your money, but if you invest and it is successful then you make not lose.

Step-by-step explanation:

3 0
3 years ago
Find the length of YXZ.<br> A.s=3<br> B.s=60<br> C.s=75<br> D.s=236
Damm [24]
R = 15

The circumference of circle: C=2\pi r

subtitute: C=2\pi\cdot15=30\pi

1\ rad=\dfrac{180^o}{\pi}\to5\ rad=5\cdot\dfrac{180^o}{\pi}=\dfrac{900^o}{\pi}

\dfrac{5\ rad}{360^o}=\dfrac{\frac{900^o}{\pi}}{360^o}=\dfrac{900^o}{\pi}\cdot\dfrac{1}{360^o}=\dfrac{5}{2\pi}

s=\dfrac{5}{2\pi}C\to s=\dfrac{5}{2\pi}\cdot30\pi=75

Answer: C. s = 75
7 0
3 years ago
Is 970 divisible by 9?
Vlad1618 [11]

Answer:

It is but you would have a decimal.

Step-by-step explanation:

5 0
4 years ago
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