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Kamila [148]
3 years ago
10

Which equations represent the line that is parallel to 2x-7y=9 and passes through the point

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer:

e. 2x - 7y = 31.

Step-by-step explanation:

If you want a line parallel to the equation, the line must have the same slope.

2x - 7y = 9

-7y = -2x + 9

y = 2/7x - 9/7

You are looking for a line where the slope is 2/7.

a. Slope is 7/2.

b. Slope is -7/2.

c. Slope is 7/2.

d. Slope is...

y + 2 = 3/4x + 3

y = 3/4x + 1

Slope is 3/4.

e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.

2 * 5 - 7 * -3 = 31

10 --21 = 31

10 + 21 = 31

And there's your answer: e.

Hope this helps!

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Rewrite In simplest radical form x^5/6/x^1/6
Nady [450]
I assume you mean:

[x^(5/6)]/[x^(1/6)]

The rule for dividing similar bases with different exponents is:

(a^b)/(a^c)=a^(b-c)

In this case we have:

x^(5/6-1/6)

x^(4/6)

x^(2/3)
3 0
3 years ago
20×^2-30x-40 solve for x
Oduvanchick [21]

Answer:

x = 12

Step-by-step explanation:

Solve for x:

360 - 30 x = 0

Subtract 360 from both sides:

(360 - 360) - 30 x = -360

360 - 360 = 0:

-30 x = -360

Divide both sides of -30 x = -360 by -30:

(-30 x)/(-30) = (-360)/(-30)

(-30)/(-30) = 1:

x = (-360)/(-30)

The gcd of 360 and -30 is 30, so (-360)/(-30) = (-(30×12))/(30 (-1)) = 30/30×(-12)/(-1) = (-12)/(-1):

x = (-12)/(-1)

(-12)/(-1) = (-1)/(-1)×12 = 12:

Answer:  x = 12

4 0
3 years ago
Can any one here please help me in this math problem I really need help
MArishka [77]

Answer:

The volume of the solid is the volume of the prism minus the volume of the cylinder.

For the cylinder, diameter = d = 4 cm

radius = d/2 = (4 cm)/2 = 2 cm

V = volume of prism - volume of cylinder

The volume of a prism is length times width times height.

The volume of a cylinder is pi times the square of the radius times the height.

V = LWH - (pi)r^2h

V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)

V = 540 cm^3 - 60pi cm^3

V = (540 - 60pi) cm^3

5 0
2 years ago
Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identi
KiRa [710]

Answer:

r(t) and s(t) are parallel.

Step-by-step explanation:

Given that :

the  lines represented by the vector equations are:

r(t)=⟨1−t,3+2t,−3t⟩

s(t)=⟨2t,−3−4t,3+6t⟩

The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

NOTE:

Two lines will be parallel if \dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}

here;

d_1 = (-1, \ 2, \ -3)

Thus;

r(t) = \dfrac{x-1}{-1} = \dfrac{y-3}{2}=\dfrac{z-0}{-3} = t

d_2 =(2, \ -4, \  +6)

s(t) = \dfrac{x-0}{2} = \dfrac{y+5}{-4}=\dfrac{z-3}{6} = t

∴

\dfrac{d_1}{d_2}= \dfrac{-1}{2} = \dfrac{2}{-4}= \dfrac{-3}{-6}

Hence, we can conclude that r(t) and s(t) are parallel.

6 0
3 years ago
Omg help with my homework PLEASE ASAP. what donu graph and how do i suow my workkkkk whats the answer
Gnoma [55]

Answer:

you have to start with you b which in your problem is 5 so put a point at 5 on the y-axis on your graph. then with the M (the fraction numbers) you have to move either up or down depending if there is a negative number. so yours is 1/2 so then you would start at the 5 point and go up 1 and right 2 then you just keep repeating till you get a few points and can make a line then you just do the same thing for the other equation. start at 3 on the y-axis and then go up 3 and right 4 then just keep repeating till you get a few point and can create a line at the end the lines should cross each other like perpendicular lines

Step-by-step explanation:

hope this helps:)

7 0
2 years ago
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