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3 years ago

Help ASAP please! Thanks in advance.

Mathematics

1 answer:

ASHA 777 [7]3 years ago

7 0

Step-by-step explanation:

The second one, of course. Because the inequality means that x must be smaller than -3. So in negative numbers, numbers are getting smaller when they go far from 0. So $-8\frac{2}{3},-6,-4, -3,5$ are smaller than -3 because the distance between 0 and these numbers are more than he distance between zero and -3. Good luck :)

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Find an equation of the circle that has center (-1,1 ) and passes through (1,-6)

Ivahew [28]

Answer:

$(x+1)^2+(y-1)^2=53$

Step-by-step explanation:

The standard form for the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ , where h is the x coordinate of the center, k is the y coordinate, and r is the radius. To find the radius of this circle, we can simply find the distance from the center to any of the points on its circumference. Using the distance formula, you know that the distance from (-1,1) to (1,-6) is:

$\sqrt{(1-(-1))^2+(1-(-6))^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}$

Therefore, the equation of this circle is:

$(x+1)^2+(y-1)^2=53$

Hope this helps!

7 0

3 years ago

The reasures of two angles have a sum of 180°. The measures of the angles are in a ratio of 5:1. Determine the measures of both

Mademuasel [1]

Answer:

150° : 30°

Step-by-step explanation:

total ratio

5 + 1 = 6

ratio 1

180 ÷ 6 = 30

ratio 5

30 × 5 = 150

3 0

3 years ago

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3 years ago

Policeman A and Policeman B hand out 70 speeding tickets in a month.

Inessa05 [86]

Answer:

Policeman A = 56 tickets

Step-by-step explanation:

Policemen A + B = 70

If Policeman B hands out x no of tickets...

Then Policeman A hands out 4x no of tickets

meaning...

x + 4x = 70

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4 years ago

System by elimination <br><br>2x - y = -3 <br>-2x - 8y = 12

topjm [15]

Answer:

x= -2 y= -1

Step-by-step explanation:

stack the 2 equations on top of each other and add them together

the 2x and -2x cancel out and you are left with -9y=9

this gives you y= -1

you plug the y value into one of the equations:

2x - (-1) = -3

2x+1 = -3

2x= -4

x= -2

7 0

3 years ago