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Galina-37 [17]
3 years ago
7

Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

Point slope form: -9 = m(3)

Slope intercept form: y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.

Step-by-step explanation:

We have 2 points to calculate the line.

(3, 21) x1 y1

(6, 12) x2 y2

First, we need to calculate the slope.

m =

m =

m = -3

Point slope form is:

y - y1 = m(x - x1)

So for our case:

-9 = m(3)

And slope intercept form is:

y = mx + b

We need to solve for the y intercept (b)

y = -3x + b --- enter the slope

21 = -3(3) + b --- enter in any point on the line for x and y

21 = -9 + b

b = 30 --- solve for b

Now our slope intercept form of the line is:

y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.

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I need help with my homework
maxonik [38]

Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

  • <em>In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angle</em>
  • <em>The measure of any circle is 360°</em>

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

∴ m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

∴ m of arc RQ = 2(5x) + 2(15)

∴ m of arc RQ = 10x + 30

∵ The measure of the circle = 360°

∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

   of the circle

∵ m of arc QP = 6x - 12

∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

∴ 10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

∴ x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

∴ The measure of the arc RQ is 160°

4 0
2 years ago
What is the answer to 4n-2n=4
artcher [175]

Answer: n=2

Step-by-step explanation: 4n-2n=4

4(2)-2(2)=

8-4=4

5 0
3 years ago
Read 2 more answers
Please help brainiest will be awarded ❤️
Anit [1.1K]
(6,-9) (-5,3) (1/2,-1) (2,-4) (11,-5)
8 0
3 years ago
Estimate the area please. will give brainliest.​
DanielleElmas [232]

Answer:63

Step-by-step explanation:

3 0
3 years ago
Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for x and round to the
olchik [2.2K]

Answer: 254.35ins

Step-by-step explanation:

Circumference of a circle = 2πr or πd.

Given the area of the circle = 56.52ins. To find the area of the circle, we first need to find the radius of the circle first by making r the subject of the formula.

2πr = 56. 52

r = 56.52

----------

2π

where π = 3.14

Now put this in r above and solve

r = 56.52/2 x 3.14

= 56.52/6.28

= 9ins.

Now to find the area of the circle substitute for r in the equation of the area of the circle below

Area of circle = πr²

= 3.14 x 9²

= 3.14 x 81

= 254.35ins

8 0
3 years ago
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