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boyakko [2]
3 years ago
8

Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7

x+8 d) y=-1/7x+1
Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0

Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:

-1/7

So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.

7 = -1/7(7) + b

Simplify the right side

7 = -1 + b

Add 1 to both sides

8 = b

The equation of the perpendicular line is:

y = -1/7x + 8

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The length of a shadow of a building is 30 m. The distance from the top of the building to the tip of the shadows is 36 m. Find
kupik [55]

Answer:

46.86

Step-by-step explanation:

a^2+b^2=c^2

30^2+36^2=c^2

2196=c^2

Square root both sides

46.86=c

7 0
3 years ago
he nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
MrRissso [65]

Answer:

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7079

The margin of error is:

M = T*s = 2.7079*234.12 = 633.97

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1088.64 - 633.97 = 454.67 milligrams

The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

8 0
3 years ago
Find the lateral surface area of the rectangular prism.
Arlecino [84]

Answer:

33

Step-by-step explanation:

Area of a rectangle is length * width

7 0
3 years ago
Read 2 more answers
Factor x2-3x+2 please i need help
suter [353]
X^2 - 3x + 2 =
(x - 1)(x - 2) <==
7 0
3 years ago
7. Determine the measures of the two angles that are not 90° in the diagram below. Show your
nekit [7.7K]

First we need to assume that the sum of the angles is also 180°. if one is less than 90°, the other will be more. we can do this because in a plane 4-sided polygon the sum of the inner angles will always be 360°, and we already know the two angles on the right side

so we can say that:

3x + 20 + x = 180

Since we got only one variable in this equation, we can already solve for x.

4x + 20 = 180

4x = 160

x = 40

the lower left angle is just 40°

the upper left is three times that plus 20, so it's 160°

hope this helps you to get the method

4 0
3 years ago
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