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3 years ago

Which equation represents a circle with a center at (-3,5) and a radius of 6 units

Mathematics

1 answer:

Fittoniya [83]3 years ago

5 0

Answer:

(x+3)^2 +(y-5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -3)^2 +(y-5)^2 = 6^2

(x+3)^2 +(y-5)^2 = 36

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Luca has 13 more crayons than Sam. If Luca has 42 crayons, how many crayons does Sam have ?

kenny6666 [7]

Answer:

Luca has 55 crayons as 42 + 13 = 55

5 0

2 years ago

Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^

Lubov Fominskaja [6]

Answer:

$F = 1.8C +32$

$F = 86^{\circ}F$

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

$(C_1,F_1) = (100,212)$

$(C_2,F_2) = (0,32)$

Solving (a): Represent as a linear equation

First, we calculate the slope:

$m = \frac{F_2 - F_1}{C_2 - C_1}$

This gives:

$m = \frac{32 - 212}{0 - 100}$

$m = \frac{-180}{- 100}$

$m = 1.8$

The linear equation is then calculated using:

$F - F_1 = m(C -C_1)$

Where

$(C_1,F_1) = (100,212)$

$m = 1.8$

$F - 212 = 1.8(C -100)$

$F - 212 = 1.8C -180$

Make F the subject

$F = 1.8C -180+212$

$F = 1.8C +32$

Solving (b): The value of F when C = 30

Substitute 30 for C in $F = 1.8C +32$

$F = 1.8 * 30 + 32$

$F = 54 + 32$

$F = 86$

8 0

2 years ago

Read 2 more answers

You need $3,000 to buy a new stereo for your car. If you have $1,200 to invest at

DiKsa [7]

Answer:

15 years and 8 months

Step-by-step explanation:

I used the formula for compound interest as shown below and solved for the unknown, time.

Since our interest is compounded annually (So once a year) our m value is 1.

3 0

2 years ago

Answer and show the work please?

dem82 [27]

(-5/8)(X) = -0.4
(-5/8)(X) = -4/10
X = (-4/10) / (-5/8)
X = (4/10) / (5/8)
X = (4/10)(8/5)
X = (2/5)(8/5)
X = 16/25

Letter D

4 0

2 years ago

Tim drives at an average speed of 80km per hour for 3 hours and 45 minutes. How many kilometers does Tim drive

anastassius [24]

Answer:

Distance = (Average speed) * Time = 80 km/h * (3 hours 45 minutes) = 80 km * 3 3/4 hours = 300 kilometers.

Step-by-step explanation:

7 0

2 years ago