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The equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

The formula to find equation of line is,

(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)

Here, x and y are the coordinate and subscript (1,2) used for the first and second point.

The points from which the line passes through are (2,5) and (-2,-3). Put the values,

(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)

(y-(-2))={(-3-5)/(-2-2)}(x-2)

y+2={-8/-4}(x-2)

y+2=2(x-2)

y+2=2x-4

y=2x-4-2

y=2x-6

Thus, the equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

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The impulse delivered to the baseball is 140kgm/s.

Option B) 140 kg • meters per second is the correct answer.

An impulse is simply a concept that involves the change in the momentum of an object when force is introduced for a period of time.

It is expressed as;

ΔP or Change in Momentum = F × t

Where F is force applied and t is the elapsed time.

Given that;

We substitute our given values into the expression above to determine the impulse.

ΔP = F × t

ΔP = 18500kgm/s² × 0.0075s

ΔP = 18500kgm/s² × 0.0075s

ΔP = 138.75kgm/s = 140kgm/s

Therefore, the impulse delivered to the baseball is 140kgm/s.

Option B) 140 kg • meters per second is the correct answer.

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Answer:

(B)

Step-by-step explanation:

I took the test

Answer:

1571

Step-by-step explanation:

its 1570.8 but you have to round

The solution of the rational equation [tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{a^2 - 4}[/tex] is a = 3

The equation is given as:

[tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{a^2 - 4}[/tex]

Express a^2 - 4 as  a difference of two squares

[tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{(a + 2)(a - 2)}[/tex]

Cancel out the common terms

[tex]\frac{3}{} * \frac{2}{a} = \frac{4 a - 4 }{a - 2}[/tex]

Factor out 2 from 4a - 4

[tex]\frac{3}{} * \frac{2}{a} = \frac{2(a - 2) }{a - 2}[/tex]

Evaluate the quotient

[tex]\frac{3}{} * \frac{2}{a} = 2[/tex]

Divide both sides by 2

[tex]\frac{3}{1} * \frac{1}{a} = 1[/tex]

Cross multiply

a = 3

Hence, the solution of the equation [tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{a^2 - 4}[/tex] is 3

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Answer:

the answer for Which solution to the equation StartFraction 3 Over a + 2 EndFraction + StartFraction 2 Over a EndFraction = StartFraction 4 a minus 4 Over a squared minus 4 EndFraction is EXTRANEOUS? is a: a=-2

Step-by-step explanation:

The coterminal  angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

290 degree

To find the coterminal angle, add and subtract 360 degree in the angle 290 degree.

Coterminal angle = 290 + 360 = 650 degree

                               = 290 - 360 = -70 degree

Reference angle = 360 - 290 = 70 degree

Thus, the coterminal  angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.

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Answer:

100 - 16 = 84, and 84 divided by 12 is 7. She needs to buy 7 more boxes of granola bars for her students.

Step-by-step explanation:

Answer:

She need 7

Step-by-step explanation:

12x7=84

Then add 16 to 84 to get 100

Answer:

Angles of the triangles are 55° , 50° , 75°

Step-by-step explanation:

       The exterior angle of a triangle equals the sum of opposite interior angles.

 Ratio of interior opposite angle = 2 : 3

Interior opposite angles are 2x , 3x

2x + 3x = 125

        5x = 125

          x = 125/5

          [tex]\boxed{x = 25}[/tex]

2x = 2*25 = 50°

3x = 3*25 = 75°

Let the third angle of the triangle = y

Sum of all angles of triangle = 180

       50 + 75 + y = 180

               125 + y = 180

                        y = 180 - 125

                       y = 55°

Angles of the triangles are 55° , 50° , 75°

Using an exponential function, it is found that she can be expected to have $50,666.64 in the fund in 7 years.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem, we have that the initial amount and the growth rate are given, respectively, by:

Hence the amount after t years is given by:

[tex]A(t) = 26000(1.1)^t[/tex]

Then, after 7 years, the amount is:

[tex]A(7) = 26000(1.1)^7 = 50,666.64[/tex]

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Answer:

7.5 feet for 1 in.

Step-by-step explanation:

32:240/2

16:120/2

8:60/2

4:30/2

2:15/2

1:7.5

Answer: [tex]400^{2}[/tex]

Step-by-step explanation:

First, write the formula:

A = (b × h) / 2

Next, multiply the base and the height of the triangle.

20 x 40 = 800

Finally, divide 800 by 2.

800/2=400

Therefore, the answer is [tex]400^{2}[/tex].

Answer: 1/6

because there are 6 side to a cube and you can only have a outcome of 1 so therefore, the answer is 1/6

Answer:

D

Step-by-step explanation:

Answer:

263.76 m^3

Step-by-step explanation:

Using 3.14 as pi

pi * radius^2 * height / 3

3.14 * 6^2 * 7 / 3

3.14 * 36 * 7 /3

3.14 * 252 /3

3.14 * 84

263.76

Answer:

125°

Step-by-step explanation:

In circle with center O.

The graphed inequality can be written as:

y < -(4/3)*x + 5

At first, we can notice two things, the shaded region is below the line, and the line is a dashed line, so we know that the inequality will be:

y < linear equation.

The linear equation is something like:

y = a*x + b

By looking at the graph, we can see that the line passes through (0, 5) and (3, 1).

So the y-intercept is 5.

And the slope is:

a = (1 - 5)/(3 - 0) = -4/3

So the linear equation is:

y = -(4/3)*x + 5

And the inequality is:

y < -(4/3)*x + 5

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Answer:

14 units^2

Step-by-step explanation:

Hey there!

In order to find the area of this triangle, we need to find the base and height of the triangle

the base of the triangle is 7 units long and the height of the triangle is 4 units high

Formula for area of triangle: Base x Height x 1/2

7 x 4 x 1/2 --> 28 x 1/2 --> 14

So, the area of this triangle is 14

Now the question is asking to find the area by forming a parallelogram

All you have to do for this is duplicate that same triangle, and mirror it upside down

Then all you would have to do is find the Base and the Height and multiply them together

Step-by-step explanation:

2/3

7/10

11/15

4/5

(if you struggle with identifying when one fraction is bigger or smaller than another, just convert it to decimals in a calculator)

Hope this helps

Answer:

i don't think you can create a triangle

Step-by-step explanation:

you need it to be a<b+c

Answer:

|-2| + 2

Step-by-step explanation:

-4 / 2-5i

cos (x) / 1 - sin squared (x)

|-2| + 2

Answer:

Step-by-step explanation:

[tex]\sf -5x^5*y^5 *(-6xy^3) = (-5)*(-6) *x^{5+1}*y^{(5+3)}\\[/tex]

                               [tex]\sf = 30x^6y^8[/tex]

The price of Ravi's lunch, before tax and tip was added to the total cost of the meal is $13.19.

Both the tax and the tip paid would increase the cost of the meal. Thus, their dollar value has to be subtracted from the total amount he pays.

Value of the lunch after the tip has been removed = (1 - 0.2) x 17.92 = $14.34

Value of the lunch after the tax has been removed = (1 - 0.08) x $14.34 = $13.19

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Answer:

b = 17

Step-by-step explanation:

The correct equation is 3b - 6 = 45. You get this by saying the books (b) are 3 dollars each (3b) and you are getting a discount of 6 dollars off (- 6). The total after the discount is 45 dollars. You know have to solve this equation for b (the number of books) to get the answer. When you solve this equation, you get b = 17.

Answer:

3b - 6 = 45 and b = 17

Step-by-step explanation:

3b - 6 = 45 is your equation you get

3b is how many books you bought and the price multiplied by one another, then subtracting 6 gives you the discounted price which is 45

3b - 6 = 45

+6          +6

3b = 51

/3     /3

b = 17

a book costs 17 dollars.

so b = 17  

Answer:

To find the mean, multiply the values by frequencies, add the subtotals, and divide by the total number of the frequency. Median : To find the median, calculate a running total of the frequencies, which is half the total, it contains the median that corresponds to the value.

Step-by-step explanation:

[tex]\large\textit{Answer :}[/tex]

x = 10

[tex]\large\textit{Calculations :}[/tex]

The way to solve this one - step equation is to divide by 50 on both sides to get x by itself :

50x=500

x = 10

[tex]\tiny\textsc{HOPE HELPFUL ~}[/tex]

Answer:

x = 39°

Step-by-step explanation:

for right angle triangle ABD

BD^2 = 36 + 64 = 100

BD = 10

use sine law

sin (29) / BD = sin (x)/ DC

sin (29)/ 10 = sin x/ 13

sin x = 13 sin (29)/ 10

First solve for BD:

Then use sine rule:

insert values

exchange sides

simplify

change side

rounded to nearest hundredth

Answer:

y=[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{3}[/tex]   /  

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

The way I think of it, a fair election comes from all qualifiable candidates, in this case, only 50 girls were allowed to vote, giving the impression that boys aren't qualified, thus not even being able to vote for a candidate. In conclusion, I think that it's option B).

Answer:

Answer:

C.  16 : 22

Step-by-step explanation:

Given:

Apple trees = 16

Orange trees = 22

Cherry trees = 1

Ratio of apples trees to orange trees:

⇒ apple : orange

⇒ 16 : 22