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Anestetic [448]
3 years ago
5

Write an equation in point-slope form for the line through the given point with the given slope. (5,2);m=3

Mathematics
1 answer:
Sloan [31]3 years ago
6 0
Point-slope form is (y - y1) = m(x - x1) so just plug in your given info:

y - 2 = 3(x - 5)

so your answer is D!!
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50 pounds of beans costs $40

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Please answer this correctly
irina [24]

Answer:

100%

Step-by-step explanation:

6 possibilities: 3 odd and 3 even

P(odd or even) 6/6= 100%

5 0
3 years ago
For 11 and 12, find... a.) The slope of the line parallel to the line that passes through the given points, and b.) The slope of
Minchanka [31]

(11)

we are given two points

(x1,y1)=(0,3)

(x2,y2)=(8,7)

so, we get

x_1=0,y_1=3

x_2=8,y_2=7

(a)

we know that slope of parallel lines are always equal

so, we can use formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{7-3}{8-0}

m=\frac{4}{8}

m=\frac{1}{2}............Answer

(b)

we know that slope of perpendicular line is -1/m

so,

slope=\frac{-1}{m}

now, we can plug value

slope=\frac{-1}{\frac{1}{2}}

slope=-2...............Answer

(12)

we are given two points

(x1,y1)=(5,-1)

(x2,y2)=(3,1)

so, we get

x_1=5,y_1=-1

x_2=3,y_2=1

(a)

we know that slope of parallel lines are always equal

so, we can use formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{1+1}{3-5}

m=\frac{2}{-2}

m=-1............Answer

(b)

we know that slope of perpendicular line is -1/m

so,

slope=\frac{-1}{m}

now, we can plug value

slope=\frac{-1}{-1}

slope=1...............Answer


7 0
3 years ago
The diameter of your bicycle wheel is 24 inches. How far will you move in one turn of your wheel?
Tju [1.3M]

Answer:

24pi inches, or 75.3982237in

Step-by-step explanation:

circumference is diameter times pi

8 0
3 years ago
Vasudevan invested rupees 60000 at an interest rate of 12% per annum compounded half yearly what amount would he get after 1 yea
Ganezh [65]

Answer:

Given that, Vasudevan invested ₹ 60,000

For Compound Interest (C.I.)

A = P[1 + (r/100)]n

P = ₹ 60,000

n = 6 months and 1 year

R = 12% p.a. compounded half-yearly

where , A = Amount, P = Principal, n = Time period and R = Rate percent

(i) For easy calculation of compound interest, we will put Interest Rate as 6% half-yearly and n = 1.

Compound Interest to be paid for 6 months

A = P[1 + (r/100)]n

A = 60000[1 + (6/100)]1

A = 60000[(100/100) + (6/100)]

A = 60000 × (106/100)

A = 60000 × 1.06

A = ₹ 63600

(ii) Compound Interest to be paid for 12 months (1 year) compounded half yearly.

So, assume n = 2, r = 6%

A = P[1 + (r/100)]n

A = 60000[1 + (6/100)]2

A = 60000[(100/100) + (6/100)]2

A = 60000 × (106/100) × (106/100)

A = 60000 × (11236/10000)

A = 60000 × 1.1236

A = ₹ 67416

4 0
3 years ago
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