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ehidna [41]
3 years ago
13

The circle below is centered at the point (4,3) and has a radius of length 5.

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

B. (x-4)^2 + (y - 3)^2 = 5^2

Step-by-step explanation:

The equation for a circle is given by

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

where (h,k) is the center and r is the radius

We have a center of (4,3) and a radius of 5

(x-4)^2 + (y-3) ^2 = 5^2

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Determine the equation of each line
katovenus [111]

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

(a)

here m = - \frac{3}{4} and c = 6, hence

y = - \frac{3}{4} x + 6 ← equation of line

(b)

here m = 6, hence

y = 6x + c ← is the partial equation

to find c substitute (2, - 6 ) into the partial equation

- 6 = 12 + c ⇒ c = - 6 - 12 = - 18

y = 6x - 18 ← equation of line

(c)

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)

m = \frac{7-3}{4+1} = \frac{4}{5}, hence

y = \frac{4}{5} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 3 ), then

3 = - \frac{4}{5} + c → c = 3 + \frac{4}{5} = \frac{19}{5}

y = \frac{4}{5} x + \frac{19}{5} ← equation of line


3 0
3 years ago
11. What geometric shape is a roll of paper towels?<br> (98)
Rus_ich [418]

Answer:

cylinder

Step-by-step explanation:

5 0
3 years ago
PLS HELP ME WITH THHESE I GIVE ALL YALL BRAINLZESS
Olegator [25]

Answer:

1. R

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7 0
3 years ago
Tyler fills up his tank with 12 gallons of gas. If one trip, on average,takes 1/2 gallon of gas, how many trips will the Tyler b
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24
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That gives you 24 trips he can make with the gas.
7 0
3 years ago
F the point T is between the points B and N, then which of the following is true?
valentina_108 [34]
Assuming T, B and N are all on the same line, then we can say

BT + TN = BN

which is the segment addition postulate. 

Subtract TN from both sides to get
BT + TN = BN
BT + TN - TN = BN - TN
BT = BN - TN
BN - TN = BT

Which is what choice C is saying. Therefore the answer is choice C.
3 0
3 years ago
Read 2 more answers
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