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3 years ago

UNIT 3 LAB QUESTIONS

Mathematics

1 answer:

insens350 [35]3 years ago

4 0

Answer:

people who are more socially connected to family, friends, and the community are happier. They are also physically healthier and they live langer that other people that are less connected. What I am trying to say is it's your close relationships that matter the most. Thats my opinion though

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the perimeter of a basketball court is 102 meters, and length is 6 meters longer than twice the width, what r length and width.

stepladder [879]

Perimeter = 2(l + w)

Thus,

102 = 2(l + w)

l = 6 + 2w

102 = 2( 6 + 2w + w)
102 = 12 + 4w +2 w
102 = 12 + 6w
90 = 6w

Thus, w = 15.

Length = 6 + 2w
= 6 + 30
= 36.

Thus, the length is 36 meters and width is 15 meters.

7 0

3 years ago

Describe how the graph of each function differs from the graph of f(x)=|x|. Then determine the domain and range.

Brilliant_brown [7]

A. We can compress the graph of the function $f(x)=|x|$ in the y-direction by multiplying the whole function by a constant C, such that $0$ Since $0$ , the graph of the function $g(x)= 0.6|x|$ is obtained from the graph of the function $f(x)=|x|$ by compression in the y-direction.

B. We can stretch the graph of the function $f(x)=|x|$ in the y-direction by multiplying the whole function by a constant C, such that $C>1.$ Since $4>1,$ , the graph of the function $g(x)= 4|x-3|$ is obtained from the graph of the function $f(x)=|x|$ by compression in the y-direction and translation 3 units to the right.

C. We can flip the graph of the function $f(x)=|x|$ upside down by multiplying the whole function by −1, then translate 1 unit to the left and 5 units up. Then we will get the function $g(x)=-|x+1|+5.$

7 0

3 years ago

I need help: number 19

Gwar [14]

Answer:

y=x+2

Step-by-step explanation:

the standard form is y=mx+b where m is the slope and b is the y intercept

TO FIND THE SLOPE: we take the x and y intercepts as a fraction. in this case the line touches the y axis (vertical) at point/value 2 and the x axis at point 2 as well. This means the slope is 2/2x which can be simplified to 1x or just x.

TO FIND THE Y INTERCEPT: we find where the line touches the y axis at point 2.

the slope is plugged into the m of the equation and the y intercept is plugged into the b of the equation.

4 0

3 years ago

Based on the markings which lines or segments must be parallel? Justify your answer

Lady bird [3.3K]

L and M are parallel, just like P and N because their angles with other segments are the same

3 0

3 years ago

What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?

allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is y = 50. Hence, 4th option is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is y = 50. Hence, 4th option is the right choice.

Learn more about the equation of a line at

brainly.com/question/18831322

#SPJ10

3 0

2 years ago