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3 years ago

Which of the following best describes the equation below?

Mathematics

2 answers:

Elena L [17]3 years ago

3 0

Boh a realtion and a fopintion

attashe74 [19]3 years ago

3 0

Answer: D

Step-by-step explanation:

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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

Question 1 of 3 NE A scale drawing of a fishing boat has a scale of 1 cmn to 2 meters. If the length of the fishing boat is 6 cm

bagirrra123 [75]

Answer:

12 meters

Step-by-step explanation:

Given

$Scale= 1cm:2m$

Required

Determine the measurement when the scale reads 6cm

Represent this scale with x;

Such that:

$Scale = 6cm:x$

Equate

$Scale= 1cm:2m$ and $Scale = 6cm:x$

$1cm:2m = 6cm:x$

Express as fraction

$\frac{1cm}{2m} = \frac{6cm}{x}$

Cross Multiply

$x * 1cm = 6cm * 2m$

$x * 1 = 6 * 2m$

$x = 6 * 2m$

$x = 12m$

3 0

3 years ago

A movie theater has a capacity of 241. The theater chargers $5 for children, $7 for students and $12 for adults. There are half

STatiana [176]

70(5) + 175(8) + 35(4) =

350 + 1400 + 140 = 1890

7 0

3 years ago

I have 10 shirts, 9 pants, 4 shoes, and 1 hats. How many unique outfits do I have?

lorasvet [3.4K]

360 outfits i think i wouldnt take that as fact tho

3 0

3 years ago

22 of the students in a Geometry class passed a Geometry test. If these students are 50%

Nikitich [7]

Answer:

tfyu555

Step-by-step explanation:

7 0

3 years ago