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3 years ago

Consider two unique parallel lines. What aspects of

Mathematics

1 answer:

ElenaW [278]3 years ago

5 0

Answer:

Step-by-step explanation:

Two parallel lines will have the same slope. The slopes of parallel lines have to be equal. The y-intercepts of those two lines have to be different, otherwise they would be the same line. The x-intercepts of the parallel lines would also be different.

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Which corresponds to the perimeter of triangle ABC?

____ [38]

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Data

A (-5 , -1)

B (-2, 3)

C (6, -3)

Perimeter = ?

Formula

$d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

distance AB $d = \sqrt{(-2 + 5)^{2} + (3 + 1)^{2} }$

$d = \sqrt{(3)^{2} + (4)^{2} }$

$d = \sqrt{(9 + (16) }$

$d = \sqrt{25}$

d = 5

Distance BC $d = \sqrt{(-3 - 3)^{2} + (6 + 2)^{2} }$

$d = \sqrt{(-6)^{2} + (8)^{2} }$

$d = \sqrt{36 + 64}$

$d = \sqrt{100}$

d = 10

Distance AC $d = \sqrt{(-3 + 1)^{2} + (6 + 5)^{2} }$

$d = \sqrt{(-2)^{2} + (11)^{2} }$

$d = \sqrt{4 + 121}$

$d = \sqrt{125}$

d = 11.2

Perimeter = 5 + 10 + 11.2

= 15 + $\sqrt{125}$

4 0

4 years ago

Graphing inequalities in two variables

Pachacha [2.7K]

The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
Example
Is (1, 2) a solution to the inequality
2x+3y>1

2⋅1+3⋅2>?1

2+5>?1

7>1

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Example
Graph the inequality
y≥−x+1

picture44

4 0

3 years ago

A mountain climber started at 150 feet below sea level. What would he

Ber [7]

Answer:

3150 feet for both

Step-by-step explanation:

correct?

4 0

3 years ago

Won has a container with the shape below.

blagie [28]

Answer:

B. The shape can be broken into a rectangular prism and a rectangular pyramid.

C. The formula for the volume of this figure is V = B h + one-third B h.

D. The volume of the container is 2,760 centimeters cubed.

Step-by-step explanation:

I did the edge test.

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3 years ago

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Suppose you want to test the effectiveness of a certain drug for treating a disease—that is, you want to see if using the drug i

Paha777 [63]

The factors that are needed to be controlled are :
1. the date of manufacturing of the drug should be the same
2. the amount of drug should be the same
3. the time they will take the drug should be the same
4. the food they are taking should be the same
5. the activities they are doing should be the same

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3 years ago

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