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3 years ago

Help me ASAP!!! Can someone check my work? PLZ tell me if i did something wrong!!

Mathematics

1 answer:

allsm [11]3 years ago

5 0

<span>The problem is tricky because it actually gives you the diameter, not the radius. To get the radius, we need to divide 34 by 2 to get 17. Then we proceed as you did to get V = 24,501.42 m^3. Also notice that because we are working with volume, we have cubic meters, not square meters. Other than that, your answer was perfect!</span>

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Which point lies on a circle with a radius of 5 units and center at P(6,1)?

ryzh [129]

Answer:

Option B. $R(2,4)$

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

$(x-6)^{2}+(y-1)^{2}=5^{2}$

$(x-6)^{2}+(y-1)^{2}=25$

step 2

Verify each case

case A) $Q(1, 11)$

substitute the value of $x=1, y=11$ in the equation of the circle and then compare the results

$(1-6)^{2}+(11-1)^{2}=25$

$25+100=25$ ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) $R(2,4)$

substitute the value of $x=2, y=4$ in the equation of the circle and then compare the results

$(2-6)^{2}+(4-1)^{2}=25$

$16+9=25$ ------> is true

therefore

the ordered pair R lie on the circle

case C) $S(4,-4)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(4-6)^{2}+(-4-1)^{2}=25$

$4+25=25$ ------> is not true

therefore

the ordered pair S not lie on the circle

case D) $T(9,-2)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(9-6)^{2}+(-2-1)^{2}=25$

$9+9=25$ ------> is not true

therefore

the ordered pair T not lie on the circle

7 0

3 years ago

He hypotenuse of a right triangle is three times the length of one of the legs. the length of the other leg is 648‾‾‾‾√648 feet.

pantera1 [17]

Let length of the hypotenuse = 3x and length of given leg be x feet.

then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81

so x = 9 and 3x = 27

Hypotenuse is 27 feet and the leg equals 9 feet.

4 0

3 years ago

I need the answer for this. question. 1 7/9 ÷ 2/9

Oduvanchick [21]

1 7/9 divided by 2/9 is 8 hunny hope it helps ^_^

4 0

3 years ago

Read 2 more answers

Write the equation of the line in slope-intercept form.

Natasha_Volkova [10]

Answer:

y=-1/2x-2