a circle has a center at (1,-2) and a radius of 4. does the point (3.4,1.2) lie on the circle? justify your answer

Answers

Answer 1

Answer:

Answer:

YES

Step-by-step explanation:

If point (3.4, 1.2) lies on a circle, the distance between this point and the center (1, -2) is equal to the radius r = 4.

The formula of a distance between two points:

$d=√((x_2-x_1)^2+(y_2-y_1)^2)$

Substitute:

$d=√((1-3.4)^2+(-2-1.2)^2)=√((-2.4)^2+(-3.2)^2)\n\n=√(5.76+10.24)=√(16)=4=r$

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6 more than the quotient of a and 14 is greater than 30

Answers

Answer:

a > 336

Step-by-step explanation:

Step 1: Subtract 6 from both sides. a/14 + 6 - 6 > 30 - 6

Step 2: Simplify. a/14 > 24

Step 3: Multiply both sides by 24. 14a/14 > 24•14

Step 4: SImplify. a > 336

Tennis racket marked up 50% to 36.75 what is the original price

Answers

the answer is 24.5
1.5x=36.75
x=24.5

Find two consecutive whole numbers that square root 116 lies between

Answers

10 and 11

√116 = 10.77 → ( to 2 decimal places )

hence 10 < √116 < 11

I don't understand fractions. Please help me.

Answers

Fractions are one number over another number

As someone already said, fractions are one number over another number. But for this particular problem you would do 5 3/4 times 4 (since she jogged that many miles each day for four days) and then add that to the product of 2 3/5 times 7 (since she walked that many miles each day for seven days). You add them because it says what is the total number of miles Rachel walked and jogged last week. I then got 41 1/5 miles. So Rachel walked and jogged last week for 41 1/5 mikes.

Please answer the 33 3/4 one i need answer