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3 years ago

Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?

Mathematics

1 answer:

Alexxandr [17]3 years ago

7 0

Answer:

$\large\boxed{B.\ y-\dfrac{1}{3}=\dfrac{3}{4}(x-4)}$

Step-by-step explanation:

The point-slope form of an equation:

$y-y_1=m(x-x_1)$

m - slope

We have

$m=\dfrac{3}{4},\ \left(4,\ \dfrac{1}{3}\right)$

Substitute:

$y-\dfrac{1}{3}=\dfrac{3}{4}(x-4)$

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What is the starting point of this function

Finger [1]

the starting point of the function is 0

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3 years ago

A drive has a maximum speed of 10,000 revolutions per minute. If a disc has a diameter of 14 cm, what is the linear speed, in

Anettt [7]

The point 6 cm away from the center travels in a circle of circumference 2π*(6 cm) = 12π cm, so that it covers this distance per revolution, 12π cm/1 rev.

So the disk has a linear speed of

(6000 rev/min) * (12π cm/rev) = 72,000π cm/min

which is equivalent to

(72,000π cm/min) * (1/100,000 km/cm) * (60 min/h)

or approximately 135.7 km/h.

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3 years ago

The measure of angle RTP is 50 degrees. Find the measure of angle TPS. 140 65 40

mr Goodwill [35]

Answer:

Step-by-step explanation:

90 degree angle

90 - 50 = 40

4 0

3 years ago

The yellow boxes on the bottom are the answers. Please help TYSM

sveticcg [70]

Answer:

$1.\ 8p = 64, p =8$

$2. -\dfrac{w}{4} = 8, w = -32$

$3. -5c = -20, c =4$

$4.\ 9m=45, m = 5$

$5. \dfrac{b}{25} = -3, b =-75$

$6. \dfrac{d}{-2} = 20, d=-40$

Step-by-step explanation:

Now let us see the detailed solution of each part:

Part 1:

$8p -15 = 49\\\Rightarrow 8p =49+15\\\Rightarrow 8p = 64\\\Rightarrow p =8$

Part 2:

$\dfrac{-w}{4}+18=26\\\Rightarrow \dfrac{-w}{4} = 26-18\\\Rightarrow \dfrac{-w}{4} = 8\\\Rightarrow -w = 8 \times 4\\\Rightarrow w =-32$

Part 3:

$-5c-15=-35\\\Rightarrow -5c = -35 +15\\\Rightarrow -5c = -20\\\Rightarrow c = 4$

Part 4:

$9m +10=55\\\Rightarrow 9m =55-10\\\Rightarrow 9m =45\\\Rightarrow m =5$

Part 5:

$\dfrac{b}{25}-83=-86\\\Rightarrow \dfrac{b}{25} = -86 +83\\\Rightarrow \dfrac{b}{25} = -3\\\Rightarrow b = -75$

Part 6:

$\dfrac{d}{-2}+85=105\\\Rightarrow \dfrac{d}{-2} = 105-85\\\Rightarrow \dfrac{d}{-2} = 20\\\Rightarrow d=20 \times -2\\\Rightarrow d =-40$

Please refer to attached image for the answers.

7 0

3 years ago

Please help me

bixtya [17]

Answer:

x=60°

x=48°

x=21°

Step-by-step explanation:

Inequalities

The sum of the exterior and the interior angle of a triangle is 180°.

The measure of an exterior angle of a triangle is called x, thus the interior angle is 180-x.

This angle is said to be at least twice x, thus:

180 - x ≥ 2x

Adding x:

180 ≥ 3x

Dividing by 3:

60 ≥ x

Swapping the inequality:

x ≤ 60°

The measure of x must be less or equal to 60°.

Three possible solutions are:

x=60°

x=48°

x=21°

7 0

3 years ago