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2 years ago

Question 6

Mathematics

1 answer:

netineya [11]2 years ago

4 0

Answer:

y= 84

Step-by-step explanation:

y = kx

where k is the constant

k = y/x = 91/13 = 7

the value of Y when x= 12

y = kx =7(12)

y =84

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The diameter is a circle is 16in. Find it’s circumference in terms of π. C= ________in

DIA [1.3K]

According to the question,

Diameter of circle = 16 in

We are asked to calculate it’s circumference in terms of π.

★ Circumference of circle = 2πr

___________________________________

Let us first calculate the radius of the circle.

→ Diameter = 2 × Radius

→ 16 in = 2r

→ r = 16 in ÷ 2

→ r = 8 in

___________________________________

Substituting values in the formula of circumference,

→ C = 2πr

→ C = (2 × π × 8) in

→ C = 16π in

Therefore, 16π inches is the required answer.

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3 years ago

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matrenka [14]

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2 years ago

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Write an equation of a line passing through the point (4,-9) and parallel to the line 3x-6y=30

sesenic [268]

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The equation of the given line is expressed as

3x - 6y = 30

Rearranging it so that it will look like the slope intercept form, it becomes

6y = 3x - 30

Dividing both sides by 6, it becomes

6y/6 = 3x/6 - 30/6

y = x/2 - 5

Looking at the equation, slope, m = 1/2

If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2

To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute

x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes

- 9 = 1/2 * 4 + c

- 9 = 2 + c

c = - 9 - 2

c = - 11

By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be

y = x/2 - 11

7 0

9 months ago

If you are receiving $57.94 in change, what is the lowest combination of bills and coins that will still give you the correct ch

mestny [16]

1 50 dollar bill

1 5 dollar bill

2 1 dollar bills

3 quarters

1 dime

1 nickel

4 pennies

7 0

3 years ago

Can someone please help me in this question.

mestny [16]

Answer:

a) $2^{3}$

b) $2^{5}$

c) $2^{8}$

d) $\frac{5}{2^{3} }$

e) $2^{4} + 2^{3}$

Step-by-step explanation:

a) 8 = 2 x 2 x 2

b) 32 = 2 x 2 x 2 x 2 x 2

c) 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

d) 5 x 2^3 / 64 = 5 x 8 / 64

= 40/64

= 5/8

= $\frac{5}{2^{3} }$

e) 16 - (-2)^3 = 16 - (-8)

= 16 + 8

= $2^{4} + 2^{3}$

6 0

2 years ago