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erica [24]
2 years ago
12

Write an equation of the line that passes through (2,-5) and is parallel to the line 2y = 3x + 10

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
6 0

Answer:

y=3x/2 -8

Step-by-step explanation:

2y/2 = 3x/2 + 10/2

y = 3x/2 +5

(y-(-5)) = 3/2 (x-2)

y+5 = 3x/2 - 3

y= 3x/2 - 8

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A machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours
Sliva [168]
\frac{5.4}{9} = \frac{25.8}{x}    Cross multiply.

5.4x=9*25.8

5.4x=232.2    Divide both sides by 5.4

x=43
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4 years ago
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Does anyone know this it sounds simple but there is usually something else to it so I’m not sure.
Artist 52 [7]
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Please help, I’ll mark your answer as brainliest!
statuscvo [17]

Answer:

(x-230)^2+(y-220)^2=6100

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the vertex of the circle and r is the radius. Immediately, since the center of the circle is given, we know what h and k are. h is 230 and k is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that d=\sqrt{x^2+y^2}, where x is the change in the x-coordinates of the two points and y is the change in the y-coordinates of the two points. Plug-in x for 60 and y for 50 to get d=\sqrt{50^2+60^2}. Solve for d, arriving at \sqrt{6100}. Therefore, the radius of the circle is \sqrt{6100}.

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for h, 220 for k, and \sqrt{6100} for r.

The equation of the circle will be (x-230)^2+(y-220)^2=6100.

Hope this helps :)

4 0
2 years ago
What are the roots of the equation? x2−x−42=0 Enter your answers in the boxes.
Levart [38]

Answer:

x = 7  x = -6

Step-by-step explanation:

x^2−x−42=0

Factor

What two numbers multiply to -42 and add to -1

-7*6 = -42

-7+6 = -1

(x-7) (x+6) =0

Using the zero product property

x-7 =0   x+6 =0

x = 7  x = -6

8 0
4 years ago
Paulita reads an average of 20 pages each day. She has 6 days to read 10^2 pages. Will she finish her reading in 6 days? Explain
MissTica
Yes, she would finish in time because 10^2=100, if she reads 20 pages per day, it'll take her 5 days to finish her reading before the 6 days
6 0
3 years ago
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