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bazaltina [42]
3 years ago
8

A line has a slope of -13. There is a second line that passes through points (-7,-5) and (6,-4) . Would these lines be parallel

, perpendicular or neither ?
Mathematics
1 answer:
Elza [17]3 years ago
3 0
<h3>Answer: The lines are perpendicular</h3>

=================================================

Work Shown:

Use the slope formula to find the slope of the line through the two given points.

m = (y2 - y1)/(x2 - x1)

m = (-4 - (-5))/(6 - (-7))

m = (-4 + 5)/(6 + 7)

m = 1/13

The slope of the line through the two given points is 1/13.

This is not equal to -13, which was the slope of the first line, so the two lines are not parallel.

However, the two lines are perpendicular because multiplying the two slope values leads to -1

(slope1)*(slope2) = (-13)*(1/13) = -1

note: It might help to think of -13 as -13/1 to help multiply the fractions.

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Write the standard equation of a circle with center (-3, 4) (-3, 4) and radius 1.​
Neporo4naja [7]

Answer:

The answer is (x+3)^2+(y-4)^2=1

Step-by-step explanation:

The equation is (x-a)^2+(y-b)^2=r^2

In this equation, a and b are the coordinates of a center, and r is radius

Substituting given values, we obtain our answer.

3 0
3 years ago
Write the equation of the line that passes through the points (-3, -3) and (8,7).
Verizon [17]

Answer:

y + 3 = 10/11(x + 3)

Step-by-step explanation:

Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (-3, -3)

(x2, y2) = (8, 7)

Substitute these values into the slope formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{7 - (-3)}{8 - (-3)} = \frac{10}{11}

Thus, slope (m) = 10/11.

Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:

y - y1 = m(x - x1)

Let (x1, y1) = (-3, -3)

m = 10/11

y - y1 = m(x - x1)

y - (-3) = 10/11[x - (-3)]

Simplify:

y + 3 = 10/11(x + 3) this is the point-slope form.

3 0
3 years ago
Your father is planning to cook for 35 people using a recipe that specifies two and a half cups of sugar for each six people,
almond37 [142]

Your father will require 14.6 cups of sugar for the larger group

<h3>Ratio and proportions</h3>

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people  = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

Learn more on ratio and proportions here: brainly.com/question/19994681

3 0
2 years ago
4. (03.05)
Snowcat [4.5K]

Answer:

B. domain is all integers 0 through 9

Step-by-step explanation:

Domain values area usually plotted along the horizontal axis. In this case, the number of days is the domain of the of the function.

The domain of the function that is plotted on the graph ranges from 0, 1, 2 to 9.

1, 2, 3 to 9 are all integers. Therefore, we can conclude that the "domain is all integers 0 through 9."

5 0
3 years ago
The absolute value of a number is the distance it is from 0. The bug is currently to the left of 0 and the absolute value of its
Ksenya-84 [330]

Answer:

- 4

Step-by-step explanation:

The absolute value of a number renders a number positive regardless of the preceeding sign. Therefore, either a number is positive or negative, the absolute value of such number will be positive.

In a number line, 0 is the midpoint and values to the left of 0 are negative, while those to the right are positive.

For the scenario, above, the bug is to the left of 0 and has an absolute value of 4 ;

The current position of the number line will be 4 (absolute value) places to the left of 0 which is - 4 (negative numbers are in the left).

6 0
3 years ago
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