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Gennadij [26K]
3 years ago
7

Can someone help with this?

Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

72.1 cm

Step-by-step explanation:

The arc length formula is s = rФ, where Ф is the central angle and is in radians (not degrees).

Here we convert 140° to radians:  140°(π/180°) = 2.44 radians.

Then the desired arc length is s = rФ = (29.5 cm)(2.44 radians) = 72.1 cm

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Find the ordered pair that makes both the equations below true
NNADVOKAT [17]

Answer:

(3, 1)

Step-by-step explanation:

(a) Algebraic solution

(1)  y = -⅔x + 3

(2) y =   2x  - 5

Set Equation (1) equal to Equation (2)

-⅔x + 3 = 2x - 5

Multiply each side by 3

-2x + 9 = 6x - 15

Add 15 to each side

-2x + 24 = 6x

Add 2x to each side

24 = 8x

Divide each side by 3

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Substitute (3) into (2)

y = 2×3 - 5 = 6 - 5 = 1

The ordered pair that makes both equations true is (3, 1).

(b) Graphical solution

In the diagram below, the red line is the graph of Equation (1). The blue line is the graph of Equation (2). The point of intersection is at (3, 1).

7 0
3 years ago
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sattari [20]

Answer:

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7 0
3 years ago
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope
Mariana [72]

Answer:

(a) y=8x-46

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Step-by-step explanation:

-y=-8x+4

y=8x+4

We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.

Substitute (6,2)

2=8(6)+b

2=48+b

b=-46

The final answer is y=8x-46

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