Leah can run 720 yards in 4.5 minutes. How many yards can she run in 2 minutes at the same rate?

A. 350
B. 320
C. 160
D. 110

The linear equation perpendicular to 5x-4y=4 is:

y = (-4/5)*x + 42/5

We want to find a line perpendicular to:

5x - 4y = 4

Solving this for y, we get:

y = 4 - 5x

y = (4 - 5x)/-4 = -1 + (5/4)*x

We can see that the slope of this line is 5/4, the slope of a perpendicular line will be the inverse of the opposite, so we get:

slope = -4/5.

Then the line is something like:

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

To find the value of b, we use the fact that the line passes through (-8, 2)

2 = (-4/5)*-8 + b

2 = (-32/5) + b

2 + 32/5 = b

10/5 + 32/5 = b

42/5 = b

The linear equation is:

y = (-4/5)*x + 42/5

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The perimeter and area of the given trapezoid are 92.4 cm and 420.525 cm².

So, the area and perimeter of the trapezoid:

The perimeter of the trapezoid formula: P = a + b + c + d

The area of the trapezoid formula: a+b/2 × h

Therefore, the perimeter and area of the given trapezoid are 92.4 cm and 420.525 cm².

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Check the picture below.

Answer:

[tex]2\frac23[/tex]

Step-by-step explanation:

Hello!

Evaluate the function for -2/3, by plugging it in for x in the equation.

The evaluated value is [tex]2\frac23[/tex].

Answer:

Step-by-step explanation:

The absolute value of negative two third is really 2/3 but if your trying to reduce it to the lowest term its 0.66 or 0.67  However I would just put only 2/3 in the box, confidently knowing it would be scored correct.  

Answer:

v = -1.5

Step-by-step explanation:

[tex]v = 2 + ( -7 \times .5) = - 1.5[/tex]

The original coordinates of JKL:

J(-3, -3), K(-4, 2) and L(2,1)

First, it is translated by the algebraic rule (x,y)->(x+2, y-3):

J(-3, -3)-> J'(-3+2, -3-3)=J'(-1, -6)

K(-4, 2) -> K'(-4+2, 2-3)= K'(-2, -1)

L(2,1) -> L'(2+2, 1-3)= L'(4, -2)

Then, this image is translated by (x,y)-> (x-2, y-1)

J'(-1, -6) -> J''(-1-2, -6-1) = J''(-3, -7)

K'(-2, -1) -> K''(-2-2, -1-1)= K''(-4, -2)

L'(4, -2) -> L''(4-2, -2-1)= L''( 2, -3)

Coordinates for triangle J''K''L'':

J''(-3, -7), K''(-4, -2) and L''( 2, -3)

2. To find algebraic rule that represents JKL to J''K''L'':

The difference between distance around Earth's equator and distance around the Moon's equator is 284.4.

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.

Given Data

The distance around Earth's equator is

4.00 x 104 km

= 416 km

The distance around the Moon's equator is

6.8 x 103 km

= 700.4

Difference = Distance around Earth's equator -  Distance around the Moon's equator

Difference = 700.4 - 416

Difference = 284.4

The difference between distance around Earth's equator and distance around the Moon's equator is 284.4.

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The first choice is the correct result

we are given m=6 and a point MEANING WE CAN SUBSTITUTE THE KNOWNS TO GET C IN THE EQUATION Y=MX+C

[tex]2 = 6( \frac{1}{2} ) + c \\ 2 = 3 + c \\ c = 2 - 3 \\ c = - 1[/tex]

THEREFORE

[tex]y = 6x - 1[/tex]

IS THE ANSWER.

HOPE THIS HELPS

The question wants us to represent your the equation y - 4 = 6()

Answer:

x = 36

Step-by-step explanation:

  To find the value of 'x', isolate 'x'.

[tex]\sf \dfrac{5}{6}x = 30\\\\ \text{Multiply both sides by 6,}\\\\ 5x = 30*6\\\\\text{Divide both sides by 5,}\\\\ x = \dfrac{30*6}{5}\\[/tex]

x = 6 * 6

x = 36

I WILL BE USING LAWSOF EXPONENTS.

[tex] = {3}^{3} \times (3^{2})^{3x} \\ = {3}^{3} \times 3^{2 \times3 x} \\ = {3}^{3} \times {3}^{6x} \\ = 3^{3 + 6x} [/tex]

IF IT SAID THAT K IS THE IS THE EXPRESSION IN TERMS OF K THEN THE EXPRESSION NOW IS

[tex]3 +6 x[/tex]

HOPE THIS HELPS

The representation of the linear model shows that the height of the balloon after 15 seconds is 0 feet.

In statistics, the term "linear model" has several meanings depending on the situation.

The water balloon is hurled from a height of 40 feet above, as can be seen from the linear model.

The balloon now ascends to a height of 70 feet before returning to ground due to gravity.

The balloon drops to the earth and makes a splash after about ten seconds.

Therefore, the balloon will remain at the ground for some more time.

As a result, according to the linear model, the balloon's height at time 15 seconds is always 0 feet.

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Answer:6.1 ounces

Step-by-step explanation:

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{2}{5} x - 2[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 8x - 20y = 40[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: - 20y = 40 - 8x[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 20y = 8x - 40[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{8}{20} x - \frac{40}{20} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{2}{5} x - 2[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

-6/5

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (14 - 8)/(-3 - 2)

slope = 6/(-5)

slope = -6/5

The solution is -6/5

The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the first point be A

Now , the value of A is A ( 2 , 8 )

Let the second point be B

The value of B is B ( -3 , 14 )

And , the slope of the line between 2 points is given by the formula,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 14 - 8 ) / ( -3 - 2 )

On simplifying the equation , we get

Slope m = 6 / ( -5 )

Slope m = -6/5

Therefore , the slope of the line is m = -6/5

Hence , The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5

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The total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.

The total monthly earnings for salespeople can be calculated as follows:

Monthly salary = base salary + sales commission

Given that what a local salesman generates a base salary of $875 and a 10% sales commission on any and all sales above $1,800, the salesman must make the following sales in order to earn $1500 in a given month:

Let the sales done by 'x'.

Then,

875 + 7% (x - 1800) = 1500

875 + (7/100) (x - 1800) = 1500

7(x - 1800) = 62500

x - 1800 = 8928.7

x = 894657.14

Thus, the total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.

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We already know that Jackson biked k kilometers.

Maria biked 8 more kilometers than Jackson, which means that she biked

Peter biked 2 fewer kilometers than Jackson, which means that he biked

To get the total all of them biked, we add those expressions together.

Answer:

44, -60, 4

Step-by-step explanation:

8(5) + 4 ---- 40 + 4 ---- 44

8(-8) + 4 ---- -64 + 4 ---- -60

8(0) + 4 ---- 0 + 4 ---- 4

i hope that this helps :)

Answer:

11. (c) c and d

12. x = 109°

13. (b) 84

14. (c) 96

15. C

Step-by-step explanation:

11. Parallel means that if the lines continued on forever, the lines will never cross. They have the same slope.

12. x is an alternate exterior angle to the angle labeled 109°. this means that the angles are equivalent.

13. y is the last unknown angle in the triangle. The interior angles of a triangle always add up to 180°.  So 180° = 55° + 41° + y.

y = 180° - 55° - 41° = 84°

14. z is a supplementary angle to y, meaning that y + z = 180°.

180° - 84° = 96° = z

15. Lines d and c are parallel meaning they have the same slope, therefore if you know the slope of one, you know the slope of the other.

The transformation of the functions from f(x) to g(x) is translate 7 units right and 2 units up

The equations of the functions are given as

f(x) = 3x + 9

g(x) = 3x - 10

Let the translations from f(x) to g(x) be h and k

So, we have

g(x) = f(x + h) + k

This gives

f(x + h) = 3(x + h) + 9 + k

Open the brackets

f(x + h) = 3x + 3h + 9 + k

Substitute f(x + h) = 3x + 3h + 9 + k in g(x) = f(x + h) + k

g(x) = 3x + 3h + 9 + k

This means that

3x + 3h + 9 + k = 3x - 10

Evaluate the like terms

3h + 9 + k = - 10

This gives

3h + k = - 19

Express -19 as -21 + 2

3h + k = -21 + 2

Express 21 as 3 * 7

3h + k = -3 * 7 + 2

By comparison, we have

h = -7 and k = 2

This means that the transformation is 7 units right and 2 units up

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Answer:

70.6% decrease

Step-by-step explanation:

4250-1250 = 3000

4250x = 3000

x=70.6%

70.6% decrease

:]

always substitute the function

(for example here we have) h(x) with its value

goodluck :)

Hello!

Since h(x) = -3x + 2  and h(x) = -4

 [tex]\hookrightarrow \text{Thus: } -3x + 2 = -4[/tex]

Let's solve:

 [tex]-3x + 2 = -4\\-3x = -4-2\\-3x=-6\\x = 2[/tex]

Hope that helps!

The statement that shows the correct measure of ∠A'B'C' is
m∠ABC = m∠A'B'C'.

What type of transformation does rotation do?
Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point. A rotation produces a new figure known as the image. The picture matches the original figure exactly.
The rotation will typically be at a similar angle, even if a figure can be rotated by any number of degrees. Positive degrees will cause the figure to revolve counterclockwise. The graphic will turn clockwise if the degree value is negative. Any point on the figure can be rotated.

Given, ΔABC with co-ordinates (3, 4), (5, 3) and (3, 2); also ∠ABC = 53.13°
Again, ΔABC is rotated counter-clockwise by 90° to make the  ΔA'B'C'.
Thus, new triangle having co-ordinates (-4, 3), (-3, 5) and (-2, 3) is obtained.
Rotation retains congruence since it is a transformation that does not alter side length or angle measure.
Thus, we have ∠A'B'C' = 53.13°
Therefore, ∠ABC = ∠A'B'C' = 53.13° i.e. m∠ABC = m∠A'B'C'.

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Answer:

B' (2,3)

Step-by-step explanation:

See the pictures below.  B was two units below y = 1 so B' needs to be 2 units above y = 1.  That places the point at (2,3)