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KengaRu [80]
4 years ago
15

Which is the equation for the line perpendicular to y = -5/3 x + 11 and 1/3 and containing P(-2,3)?-----------A. y - 2= - 3/5(x-

3)--------B. y= -5/3 x + 4 and 1/3--------C. y= -3/5 x + 4 and 1/5-----------D. y= 3/5 x + 4 and 1/5
Mathematics
1 answer:
bogdanovich [222]4 years ago
3 0
D. The y-intercept does not matter when figuring out when lines are perpendicular to each other. The slopes have to be the complete opposites of each other. That means that if one slope is negative, the other is positive, and you have to flip the numerator and denominator of a fraction. If it is a whole number, the new numerator would be 1 and that number would be the denominator
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Juan wants to paint somthing in the shape of a right rectangle prism. The prism is 17 in long 11 in wide and 9 in high. He had e
Nadusha1986 [10]

Juan does not have enough paint to cover shape of a right rectangle prism

<em><u>Solution:</u></em>

Given that,

Juan wants to paint something in the shape of a right rectangle prism

From given,

Length = 17 inches

Width = 11 inches

Height = 9 inches

<em><u>The surface area of prism is given as:</u></em>

A=2(wl+hl+hw)

Where, "l" is the length and "w" is the width and "h" is the height

<em><u>Substituting the values we get,</u></em>

A = 2(11 \times 17 + 9 \times 17 +9 \times 11)\\\\A = 2(187+153+99)\\\\A = 2 \times 439 \\\\A = 878

Thus surface area of prism is 878 square inches

Given that,

He had enough paint to cover 850 sq in

No he cannot paint since surface area is 878 square inches which is greater than 850 square inches

So, he does not have enough paint

8 0
3 years ago
Solve x2 – 12x + 59 = 0 for x.
mr_godi [17]
59 is a tough bird to deal with; its only factors are 1 and 59.

Thus, forget about factoring.  Instead, use the quadratic formula, or solve the equation by completing the square.

Please note:  x2 is ambiguous.  Please write x^2 to indicate "the square of 2."

Here you have 1x^2 - 12x + 59 = 0, for which a=1, b=-12 and c=59.

Use the quadratic formula:  x=[-b plus or minus sqrt(b^2-4ac)] / (2a)

to find the two roots.  Notice that the "discriminant" b^2 - 4ac will be negative, meaning that your two roots will be "complex."
3 0
3 years ago
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l
lesya692 [45]

Answer:

The probability that a call last between 4.2 and 4.9 minutes is 0.4599

Step-by-step explanation:

Let X be the length in minutes of a random phone call. X is a normal distribution with mean λ=4.2 and standard deviation σ=0.4. We want to know P(4.2 < X < 4.9). In order to make computations, we will use W, the standarization of X, given by the following formula

W = \frac{X-\mu}{\sigma} = \frac{X-4.2}{0.4}

We will use \phi , the cummulative distribution function of W. The values of \phi are well known and the can be found in the attached file

P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

Download pdf
7 0
3 years ago
12.009 write in word form
Ann [662]
Twelve and nine thousandths
8 0
3 years ago
The regression equation y = -0.414x + 106.55 approximates the percent of people in an audience who finish watching a documentary
Ivahew [28]

The answer is A 67%.. went over this answer in class so it is right.

5 0
4 years ago
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