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Alex Ar [27]
3 years ago
11

The sum of 5 consecutive integers is 265. What is the fifth number in this sequence?

Mathematics
1 answer:
atroni [7]3 years ago
8 0
5 consecutive intergers means intergers that come one after another (1,2,3 or 56,57,58)

So you know that for 5 of those numbers to add up to 256 they all have to be around 256 / 5. 

Find an integer close to that, and start trying different consecutive numbers until you get the 265. Then you'll know the 5th number
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shepuryov [24]

The final equation is:

y=x+3

Further explanation:

The general form of equation of a line in slope-intercept form is:

y=mx+b

Here m is the slope

Given

m=1

(x,y) = (-7,-4)

Putting\ the\ value\ of\ slope\ in\ equation\\y=(1)(x)+b\\y=x+b

To find the value of b, we have to put the point in the equation

-4=-7+b\\-4+7=b\\b=3

The final equation is:

y=x+3

Keywords: Slope-intercept form, equation of line

Learn more about slope-intercept form at:

  • brainly.com/question/6594923
  • brainly.com/question/6698921

#LearnwithBrainly

7 0
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The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surf
Sergeeva-Olga [200]

Answer:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

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Marizza181 [45]

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Step-by-step explanation:

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