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3 years ago

Find an equation of the line passing through the point (-7,-5) that is perpendicular to the line y=5/3x-5

Mathematics

2 answers:

alexdok [17]3 years ago

8 0

Y=-3/5x-46/5 or y=-3/5x-9 1/5

Orlov [11]3 years ago

7 0

Answer:

y= -3/5x - 46/5

Step-by-step explanation:

Since the line is perpendicular to y=5/3x-5, We can find the gradient since perpendicular lines have negative reciprocal gradients of each other, so in this case the gradient of the line is -3/5. We have a point, we have the gradient, so we can substitute in y=mx+c to find the y-intercept c, so -5 = (-3/5)(-7) + c.

Calculating will give c= -46/5

so the equation is y= (-3/5)x + (-46/5)

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Part two for: "HELP ME PLEASEEEE Using the digits 1 - 9, at most one time each, create an improper fraction and a mixed number t

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Answer: 5/3 = 1 10/6

Step-by-step explanation: This is the right answer.

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2 years ago

The figure below is rotated 270° clockwise about the origin .List the coordinates of the image.

meriva

Answer:

A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)

Step-by-step explanation:

Before the rotation:

A (-4, 4), B (6, 2), C (1, 1), D(-5, 3)

270° rotation clockwise is the same as 90° counterclockwise. To do that transformation:

(x, y) → (-y, x)

Therefore, the coordinates of the rotated figure are:

A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)

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3 years ago

Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.

goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

$\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75$

(b)

Compute the variance of X as follows:

$\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083$

(c)

Compute the value of P(X < 3.7) as follows:

$P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898$

Thus, the value of P(X < 3.7) is 0.4898.

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3 years ago

A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answ

Agata [3.3K]

75%=¾
¾*20=15

He answered 15 questions correctly.

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3 years ago

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Answer:

Step-by-step explanation:

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