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BaLLatris [955]
2 years ago
7

Here's a graph of a linear function. Write the

Mathematics
1 answer:
madam [21]2 years ago
5 0

The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

\rm m =\dfrac{3-0}{0-(-6)}\\

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

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A building is known to be 192 feet tall. A ball is dropped from the top of the building. In how many seconds will the ball hit t
Archy [21]

Answer:

  • h = 0 when the ball hits the ground
  • about 3.464 seconds

Step-by-step explanation:

The formula gives h = 192 when t=0, so we assume that h represents the height above the ground. The ball will have a height of 0 when it hits the ground.

__

Using that in the equation, we can solve for t.

  0 = 192 -16t^2

  0 = 12 -t^2 . . . . . . divide by 16

  t^2 = 12 . . . . . . . . add t^2

  t = √12 = 2√3 ≈ 3.464 . . . . take the square root

It will take 2√3 seconds, about 3.464 seconds, for the ball to hit the ground.

5 0
3 years ago
Sheila has 12 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds
NeX [460]

Answer:

6 containers needed

Step-by-step explanation:

Given

Total = 12\frac{1}{2}\ lb ----- Size

Container = 2\frac{1}{4}\ lb ----- Size

Required

Determine the number of containers needed

This question illustrates the knowledge of fraction and division.

To get the number of containers needed, we simply divide the total size by the size of the container as follows;

Number = Total/Container

Number = 12\frac{1}{2}/2\frac{1}{4}

Convert to improper fractions

Number = \frac{25}{2}/\frac{9}{4}

Number = \frac{25}{2}*\frac{4}{9}

Number = \frac{100}{18}

Number = 5.5555556

Number = 6 --- Approximated

4 0
3 years ago
I don’t understand this can someone please give me and example on how to do it please?
olga55 [171]
For the first one,

you multiply 5x and -5 to get -25.

Then you move the constant to the right and change the sign to get 3x= -21 +25.

Calculate the sum of -21+25 to get 4.

Divide both sides of the equation by 3 to get x=4/3.

So then your final answer is x=4
——
3


For the second one,

Distribute 7 through the parentheses to get 14x + 14+8=120

The you add 14+8 to get 22. Your equation should be 14x+22=120

Move the constant to the right side and change its sign to get 14x=120-22

Subtract 120-22 to get 98. Now your equation should be 14x=98

Divide both sides of the equation by 14 to get x=7.

Your finial answer for the second one should be x=7.
—————————————————————-
I hope this made sense.
5 0
3 years ago
1. What’s the exact value of cot[cot^-1 sqrt3/3] ?
vovikov84 [41]
So the problems ask to find and calculate the exact value of the trigonometric equation in the following equations and the best answers would be the following:
#1. sqrt(3)/3
#2. Arcsine of zero is 0
#3. x/sqrt(4-x^2)
I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications. Have a nice day 

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME THIS IS DUE TODAY AND I AM DEPRESSED ( uhm look at photo )
Anuta_ua [19.1K]

Answer:

C. 19

B. 47

C. 12

C. 10

C. -8

Step-by-step explanation:

for each equation you take the number given, input it as the value of the variable, and evaluate the equation

hopefully this helps :)

4 0
2 years ago
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