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Vikentia [17]
3 years ago
10

What is the equation of the line that passes through the point (-3, 4) and has a slope of 1

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0
The equation is: y = x + 7
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A circle has a radius of 5. Express in term of pi the circumference of the circle
Natalka [10]
Circumference of a circle = 2pir
2pi(5) = 10pi 
3 0
3 years ago
Given ƒ(x) = 3x + 9, find x when ƒ(x) = 21.
Dima020 [189]
3x + 9 = 21
3x = 12
x = 4
7 0
3 years ago
Read 2 more answers
14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.
irina [24]

Answer: the distance is  3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

y = 7*sin( (217/180)*pi) = -4.21

So this point is (-5.59, -4.21) in rectangular coordinates.

And the other point is  (5,-23pi/36 )

R = 5

θ = -(23/36)*pi

x = 5*cos(  -(23/36)*pi ) = -2.11

y = 5*sin(  -(23/36)*pi ) = -4.53

So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) =  3.49

4 0
3 years ago
A garden table and a bench cost $852 combined. The table is $98 less than the bench. What is the cost of the bench?
Citrus2011 [14]

Answer:

Step-by-step explanation:

b=bench

852=b+(b-98) since the table is less than the bench by 98$

852-b=b-98

950-b=b

950=2b

475=b

3 0
3 years ago
Find the arc length for a circle with diameter 10 inches and central angle 60 degrees. Round to the nearest tenth.
UkoKoshka [18]

Answer:

C. 5.2 cm

Step-by-step explanation:

Arc length formula:

s = \dfrac{n}{360^\circ} 2 \pi r

where s = arc length

n = central angle of arc

r = radius of circle

diamter = d = 10 cm

r = d/2 = 10 cm/2 = 5 cm

n = 60 deg

s = \dfrac{n}{360^\circ} 2 \pi r

s = \dfrac{60^\circ}{360^\circ} 2 \times 3.14159 \times 5 ~cm

s = 5.2~cm

Answer: 5.2 cm

6 0
3 years ago
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