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4 years ago

Find all points having an x-coordinate of 2 whose distance from the point (-1,-2) is 5

1 answer:

5 0

$The\ equation\ of\ the\ circle:(x-a)^2+(y-b)^2=r^2\\\\where\ (a;\ b)\ -the\ coordinates\ of\ the\ center;\ r-the\ radius\\-----------------------------\\(-1;-2)-the\ center\ of\ the\ circle\\r=5\\\\The\ equation:(x+1)^2+(y+2)^2=5^5\\\\Put\ x=2\ to\ the\ equation:\\\\(2+1)^2+(y+2)^2=25\\3^2+(y+2)^2=25\\9+(y+2)^2=25\\(y+2)^2=25-9\\(y+2)^2=16\iff y+1=\pm\sqrt{16}\\\\y+1=-4\ or\ y+1=4\ \ \ \ \ |subtract\ 1\ from\ both \sides\\y=-5\ or\ y=3\\\\Answer:(2;-5)\ and\ (2;\ 3).$

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babunello [35]

It would be a rectangle

5 0

3 years ago

A salesperson has to drive 500 miles. For the first three hours she drove at 65 mi/h. For the next two hours she drove at 55 mil

yarga [219]

Answer: she has 195 miles more to cover

Step-by-step explanation:

A salesperson has to drive 500 miles.

For the first three hours she drove at 65 miles/hour.

Distance = speed × time.

This means that distance covered in the first 3 hours is

65 ×3 = 195 miles

For the next two hours she drove at 55 miles per hour.

This means that distance covered in the next two hours is

55 × 2 = 110 miles

The total distance that the salesperson has to cover is 500 miles

Distance already covered is

195 + 110 = 305 miles

Distance remaining will be total distance - distance already covered. It becomes

500 - 305 = 195 miles

3 0

3 years ago

An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro

alex41 [277]

Circumference = 2Pi(r) = 6Pi = 18.85
Comparing the arc length to the entire circumference is
8:18.85 = .4344
Then comparing the central to 360 degrees in a circle is
Angle:360 = 8:18.85
Angle = 152.8 degrees

5 0

4 years ago

Read 2 more answers

Three valid names for an octagon

netineya [11]

Remmeber that an octagon is a polygon formed by chain of 8 straight line segments.

The first valid name for a polygon of eight sides is octagon (from greek oktagonon, which means eight angles)

The second valid name for a polygon of eight sides is eight-sided polygon.

The third valid name of a polygon of eight sides is 8-gon. After 6 sides, mathematicians usually refer to these polygons as n-gons, so an eight-sided polygon will be an 8-gon.

We can conclude that the three valid names for an octagon are: octagon, eight-sided polygon, and 8-gon.

7 0

3 years ago

Pls help give u brainlist

Elenna [48]

Answer:

The rate of change is $\frac{7}{4}$ or 1.75. That shows that the cost per video game is $1.75

Step-by-step explanation:

The change in y over change of x or slope can be calculated using the equation:

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$ so take the last two points: (10, 25) and (15, 33.75).

33.75-25=8.75

15-10=5

8.75/5=1.75 (7/4)

x=video games

y=total cost

Since slope is change in y (cost) per change of x (video games), the answer is:

1.75 cost per video game

8 0

3 years ago