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3 years ago

1. What is the solution? y 3 -3-2-1 2 3x O (1,2) O (1,-1) O 1 02

Mathematics

1 answer:

Rama09 [41]3 years ago

4 0

9514 1404 393

Answer:

(d) Infinitely Many Solutions

Step-by-step explanation:

Each point of intersection between the lines is a solution. When the lines lie on top of each other, there are infinitely many points of intersection, hence ...

Infinitely Many Solutions

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

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3 years ago

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What is the product of -3 and 5 it's on engenuity so I need answer

Katarina [22]

Answer.........

-15

.______.

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Mrs. Reeds collects rocks. Each rock in her collection weighs about 4 ounces. Her collection weighs about 12 pounds in all. Abou

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Answer:

48 rocks

Step-by-step explanation:

there are 4 rocks in one pound since each rock weighs 4 ounces so 4 times 12 equals 48

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3 years ago

The graph below have the same shape f(x)=x^2 what is the equation of the graph of g(x)

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Answer: OPTION B

Step-by-step explanation:

By definition, the parent function is the simplest form of a function. In this case, you have the quadratic parent function $f(x)=x^{2}$

As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:

$f(x-2)=(x-2)^2$

Therefore, the equation of the function g(x) is:

$g(x)=(x-2)^2$

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