Roberto has run the first 18 miles of a race, which means he is 72% finished. How long is the race

Answer:

[tex]y=\frac{1}{2} x-8[/tex]

Step-by-step explanation:

Slope-intercept form is organized in the form y=mx+b, where m is the slope and b is the y-intercept.

Because we're already given the values, we just have to plug them into the equation.

[tex]y=mx+b\\y=\frac{1}{2} x+(-8)\\y=\frac{1}{2} x-8[/tex]

To graph this equation, first plot a point at (0, -8). This is because the y-intercept is -8, meaning that the line crosses the y-axis when y=-8.

Then, plot the next point using the slope. The slope is equal to the rise/run of the line, or the number of units the line travels upwards / the number of units the line travels to the right. Because the slope is 1/2, we know that for every 2 units a point travels to the right, it goes up by 1 unit.

Please see the picture attached.

I hope this helps!

Answer:

Perimeter of triangle = 12 + 9 + 15

                                   = 36 units

Therefore, option A is correct.

Step-by-step explanation:

The given points

From the table, it is clear the side containing the line segment joining the points (-4, 5) and (8, 5) is a straight horizontal line.

Thus, the length of the horizontal distance from the points (-4, 5) and (8, 5) will be:

8-(-4) = 12 units

From the table, it is clear the side containing the line segment joining the points (8, 5) and (8, -4) is a straight vertical line.

Thus, the length of the vertical distance from the points (8, -4) and (8, 5) will be:

5-(-4) = 9

Now, finding the length of the side containing the segment (8, -4) and (-4, 5) using the formula:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]=\sqrt{\left(-4-8\right)^2+\left(5-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(-4-8\right)^2+\left(5+4\right)^2}[/tex]

[tex]=\sqrt{12^2+9^2}[/tex]

[tex]=\sqrt{144+81}[/tex]

[tex]=\sqrt{225}[/tex]

[tex]=\sqrt{15^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]=15[/tex]

We know that the Perimeter of a rectangle is the length of all the sides of the triangle. Therefore, combining all the lengths of the line segments

Thus,

Perimeter of triangle = 12 + 9 + 15

                                   = 36 units

Therefore, option A is correct.

Answer:

Step-by-step explanation:

-72÷9+[11×{10÷(15÷17-14)}] =

14960/223=67.08520179

Hope this helps!!

Answer:

Step-by-step explanation:

speed = distance / time

          = 1/12 mile

              1/2 min.

          = 1/6 miles / min.

Answer:

The answer is 4,5.

Step-by-step explanation:

Go over 4 times and go up 5, and there is your answer.

Answer:

Even

Step-by-step explanation:

The answer is -912 which is even because it ends with a 2.

I hope this helps. Your Welcome:)

Answer:

70%

Step-by-step explanation:

385/550 giving you a decimal of 0.7 which is 70%

Answer:

22.5 inches

Step-by-step explanation:

To find the unit rate, you divide the amount the plant grew by the amount of weeks. We learned that the plant grew 75 inches in 100 weeks, so we divide 75/100, to get 0.75. This means that the plant grows 0.75 inches per week, so in 30 weeks, it would grow 22.5 inches. This is calculated by multiplying 0.75 by 30 weeks.

Answer:

25% change

Step-by-step explanation:

(15 - 12) / 12 = 3/12 = 1/4 = 0.25

Answer:

Multiple ways to simplify

7+2 (adding 10 and -3)

10-1 (adding -3 and 2)

12-3 (adding 2 and 10)

Step-by-step explanation:

Hope this helps！

Answer:

160

Step-by-step explanation:

It's simple you have to do 480 divided by 3 and you will get 160. To check if you multiply 3x160 it would equal 480. So 160 times larger. Hope this helps!

Answer:

probably A

Step-by-step explanation:

the two triangles are congruent because of the angle side angle postulate

Answer:

f(-1) = 3, f(3) = 3

Step-by-step explanation:

This question requires that you choose which of the two equations to uses given the value of x. -1 < 1 so you choose equation f(x) = -x + 2 for f(-1). 3 > 1 so you choose f(x) = x² - 4x + 6 for f(3)

Answer:

The length of side AB is [tex]\sqrt{50}[/tex] units.

The length of side BC is [tex]\sqrt{65}[/tex] units.

The length of side AC is [tex]\sqrt{145}[/tex] units.

Step-by-step explanation:

To find the length of each side, we use the formula for the distance between two points.

Distance between two points:

Points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Side AB:

Points [tex]A(-3,6),B(2,1)[/tex]. So the distance between them is:

[tex]D = \sqrt{(2-(-3))^2 + (1-6)^2} = \sqrt{50}[/tex]

The length of side AB is [tex]\sqrt{50}[/tex] units.

Side BC:

Points [tex]C(9,5),B(2,1)[/tex]. So the distance between them is:

[tex]D = \sqrt{(2-9)^2 + (1-5)^2} = \sqrt{65}[/tex]

The length of side BC is [tex]\sqrt{65}[/tex] units.

Side AC:

Points [tex]A(-3,6),C(9,5)[/tex]. So the distance between them is:

[tex]D = \sqrt{(9-(-3))^2 + (5-6)^2} = \sqrt{145}[/tex]

The length of side AC is [tex]\sqrt{145}[/tex] units.

Answer:

IM GEORGE FLOYD

Step-by-step explanation:

Answer:

i would be 22.5 or 22 minutes and 30 seconds becuase 45 times 30 is 1350 and if you do it by 60 because thats how many seconds are in a minute you get 22.5 or 22 mins and 30 seconds

brainliest?! thank you !

Step-by-step explanation:

The number is -34

A number is an arithmetic value used for representing the quantity and used in making calculations.

Given that, seven less than half the number is equal to -24.

Let the number be x,

Therefore,

(x/2) - 7 = -24

(x/2) = -17

x = -34

Hence, the number is -34

For more references on numbers, click;

https://brainly.com/question/17429689

#SPJ2

Answer:

x = -1/5, x = i sqrt(30)/5,  x = -i sqrt(30)/5

Step-by-step explanation:

25x^3 + 5x^2 + 30x + 6 = 0

5x^2(5x + 1) + 6(5x + 1) = 0

(5x + 1)(5x^2 + 6) = 0

5x + 1 = 0

5x = -1

x = -1/5

5x^2 + 6 = 0

5x^2 = -6

x^2 = -6/5

x = +/- sqrt(-6/5)

x = +/- i * sqrt(30)/5

x = i sqrt(30)/5 or x = -i sqrt(30)/5

Answer:

3-(-1)/2-4

=4/-2

=-2

slope=-2

Answer:

Hotdogs is 10

and Tacos  8 in numbers purchased

Step-by-step explanation:

Step one:

given data

Le  x represents the number of hotdogs purchased

and y represents the number of tac

hotdogs = $4 each

and tacos = $2.50 each

The total amount at hand = $60

Step two:

The systems of the equations for the situation is given as

4x+2.5y= 60---------1

x+y=18-----------------2

Required

The number of Hotdogs and Tacos purchased

from 2

x= 18-y

put x= 18-y in eqn  1

4(18-y)+2.5y= 60

72-4y +2.5y=60

collect like terms

-4y+2.5y=60-72

-1.5y= -12

divide both sides by -1.5

y= -12/-1.5

y= 8

put y= 8 in eqn 2

x+8=18

x= 18-8

x= 10

Answer:

Increasing → (-∞, -0.5)

Decreasing → (-0.5, ∞)

Step-by-step explanation:

From the picture attached,

Vertex of the parabola represents the highest point of the curve of a quadratic function 'f'.

Left part from the vertex is increasing and the right side is increasing.

x-coordinates of the vertex,

x = -0.5

Therefore, graph of the function is increasing in the interval (-∞, -0.5)

And decreasing in the interval (-0.5, ∞).

Answer:

Step-by-step explanation:

In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:

124+2x=180

2x=56x=28

Please brainlest!

Answer:

|h-57.5| less than or equal to 7.5

Step-by-step explanation:

Since the question states that a child must be 50 and 65 inches, plug in values that are within this range and determine which answer choice gives a TRUE relationship. Choose 60 for h.

Also, I just did it.

Answer:

b. -2x^3 +x^2 +1

Step-by-step explanation:

(x^3 - x^2 + 4) - (3x^3 - 2x^2 +3)

x^3 - 3x^3 = -2^3

-x^2 - (-2x^2) = -x^2 + 2x^2) = x^2

4 - 3 = 1

Answer:

y=x

Step-by-step explanation:

That's legit it. Type it into a graphing calc and it goes through(1,1) ad (3,3).

Answer:im not forsure

Step-by-step explanation:

Answer:

hey actually its i dont know bro help me get some points

Answer:

a

Step-by-step explanation:

give branlest pls

Answer:

y=32x shows a proportional relationship.

Step-by-step explanation:

We need to find an equation that shows the proportional relationship.

If x and y are proportional to each other, it will look like,

y = mx

Where

m is constant of proportionality

Out of 4 option, option (4) is y=32x, it shows the proportional relationship where the value of m is equal to 32.

The equation that represents a proportional relationship is y = 32x

A proportional relationship usually has the form:

y = kx

Where:

In this equation: y = 32x

To learn more about proportional relationship, please check: https://brainly.com/question/1266676

Answer:

$56.10

Step-by-step explanation:

55.00 × .02 = 1.10

55.00 + 1.10 = $56.10