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4 years ago

Write the equation of a line where slope = 2 and (1,3) is on the line in slope intercept form

Mathematics

1 answer:

vazorg [7]4 years ago

5 0

Y = 3x + 0 is what i got though check my math to be sure

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If 5 + 20 times 2^2 minus 3x = 10 times 2^- 2x + 5, what is the value of x?

LUCKY_DIMON [66]

The answer to the problem is going to be 3

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3 years ago

What is the value of x in 8/9x = 4/3

Talja [164]

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3 years ago

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Martina drove 715 miles in 13 hours. at the same rate, how long would it take her to drive 495 miles?

Natali5045456 [20]

First you need to get the unit rate by dividing 715 by 13, getting 55 miles per hour. You then will need to divide 495 by 55 to get the answer of 9

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3 years ago

Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is betwe

Dimas [21]

Answer:

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247

Step-by-step explanation:

We know mean u = 38 standard dev. s = 2

We want P ( 37 < x < 41)

P( (37 - 38) / 2 < Z) = P(-0.5 < Z)

P( Z < (41 - 38)/2 ) = P( Z < 1.5)

Find P(Z < -0.5) = 0.3085

Find P(Z > 1.5) = 0.0668

so P(-0.5 < Z < 1.5) = 1 - P(Z < -0.5) - P(Z > 1.5)

P(-0.5 < Z < 1.5) = 1 - 0.3085 - 0.0668

P(-0.5 < Z < 1.5) = 0.6247

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247

3 0

3 years ago

Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

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3 years ago