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TiliK225 [7]
3 years ago
6

Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5. There might be more than one answe

r.
a) 6x + 2y = 12
b) -3x + y = 8
c) 3y = 9x
d) y=-1/3x
Mathematics
1 answer:
o-na [289]3 years ago
6 0
Parallel means they have the same slope.
The given equation has a slope of 3. Slope intercept equation: y = mx + b
a. 6x + 2y = 12
Subtract 6x from both sides.
2y = - 6x + 12
Divide both sides by 2.
y = -3x + 6 Not parallel

b. -3x + y = 8
Add 3x to both sides.
y = 3x + 8 Parallel

c. 3y = 9x
Divide both sides by 3
y = 3x Parallel

d. y = -1/3x Not parallel

B and C are parallel
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The coordinates of points M,N, and P are ....
Rainbow [258]

Answer:

(-1, -1) Let me know if the explanation didn't make sense.  

Step-by-step explanation:

If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left.  This means M is only connected to N here and P is only connected to N.  So we want to find the slope of these two lines.

MN is easy since their y values are the same, the slope is 0.

NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.

So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0.  To find these lines  weuse point slope form  for those two points.  The formula for point slope form is y - y1 = m(x-x1)

y-3 = -4(x+2) -> y = -4x-5

y+1 = 0(x-5) -> y = -1

So now we want these two to intersect.  We just set them equal to each other.

-1 = -4x -5 -> -1 = x

So this gives us our x value.  Now we can plug that into either function to find the y value.  This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)

8 0
2 years ago
Write the numerical expression 34 in expanded form.
garik1379 [7]

Answer:

not sure what type you mean but here are options

Step-by-step explanation:

30+4=34

thirty-four

5 0
2 years ago
Solve:<br> -3/4+p=1/2<br> Thank you so much!
shepuryov [24]

-3 / 4 + p = 1/2

LCD 4 and 2 = 4

Multiply by LCD = 4

p. (4)- 3/4 .( 4 ) = 1/2.(4)

4 p - 3 = 2

Add 3 to both sides:

4 p - 3 + 3 = 2 + 3

4 p = 5

Divide both sides by 4 :

4p / 4 =  5 /4

p = 5/4

3 0
3 years ago
Mr.Montgomery's class, there are 8 boys and 12 girls.If Mr.Montgomery selects 1 student from his class at random, what is the pr
Gnoma [55]
Probability=number of specific outcomes / total possible outcomes

P(g)=12/(12+8)

P(g)=12/20

P(g)=3/5
7 0
3 years ago
A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

5 0
2 years ago
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