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3 years ago

9. Write an equation for the line that is parallel to the given line and that passes through the given point.

Mathematics

1 answer:

timurjin [86]3 years ago

7 0

Answer:

y -11 = 2(x -3)

Step-by-step explanation:

The slope of the given line is the x-coefficient: 2. The parallel line will have the same slope.

When you know the slope and a point on the line, it is convenient to use the point-slope form of the equation of a line:

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Your line's equation is ...

y -11 = 2(x -3)

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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

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3 years ago

What is 20% of 102.84

Mariulka [41]

Answer:

20.568

Step-by-step explanation:

...

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3 years ago

Read 2 more answers

What is the value of 3.2n when n=5

Lady bird [3.3K]

3.2n=3.2*5

3.2*5=16 the answer is 16

Hope this helps, have a great day!!

:)

7 0

3 years ago

Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form. (2 points)

kykrilka [37]

The answer is: y-3= 2 (x-1)

5 0

3 years ago

Sally has 14 diamonds and she puts 6 in the ground how many more diamonds does sally have?

Marina86 [1]

Answer:

Sally would have 8 diamonds left

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3 years ago