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3 years ago

Write the slope intercept form of the equation of the line through the given point with the given slope

Mathematics

1 answer:

aleksandrvk [35]3 years ago

5 0

Given that,

Point = (-5,3)

Slope, m = -3/5

To find,

The slope intercept form of the equation of the line.

Solution,

The general form of equation is :

y = mx +b

We have, x = -5, y = 3

So,

$3=\dfrac{-3}{5}(-5)+b\\\\3=-3+b\\\\b = 6$

The equation is :

$y=\dfrac{-3}{5}x+6$

Hence, the required equation is $y=\dfrac{-3}{5}x+6$ .

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Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00

amid [387]

Given :

Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.

After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.

To Find :

The number of each general admission tickets sold.

Solution :

Let, general admission are x.

So, Reserved seat tickets will be 1787 - x.

Now, total amount T = 3x + 4( 1787 - x )

T = $5792

3x + 4( 1787 - x ) = $5792

-x + 7148 = 5792

x = 1356

Therefore, the number of each general admission tickets sold are 1356.

Hence, this is the required solution.

7 0

4 years ago

a car salesman purchased a car at an auction for $8,550. he will re-sell the car at a markup of $11,970. what is the percent inc

nlexa [21]

Answer:

40%

Step-by-step explanation:

You subtract 11,970-8,550 = 3,420 to isolate the increase.

Divide 3,420/8,550 = .4 to get the percent increase of the markup.

The answer is .4 or 40% (they are equivalent)

You can check my work by multiplying 8,550 * .4 = 3,420

This answer is the percent of 8,550 that it increased (40% of 8,550) so make sure that is what the question is asking. If it is then it's your answer.

7 0

3 years ago

Read 2 more answers

A movie was 3 and one-half hours long. If Lily turned the movie off One-fourth of the way through, how much time did she spend w

antiseptic1488 [7]

Answer:

StartFraction 7 Over 8 EndFraction of an hour

7/8 hour

Step-by-step explanation:

Total movie time = 3 1/2 hours

Lily turned the movie off One-fourth of the way through,

1/4 of 3 1/2

= 1/4 ×7/2

= 7/8 hour

how much time did she spend watching it.

Time spent watching the movie = 3 1/2 hour - 7/8 hour

= 7/2 - 7/8

= 14-7/8

= 7/8 hour

StartFraction 7 Over 8 EndFraction of an hour

5 0

3 years ago

Solve by completing the square x^2-4x+9=0

Masteriza [31]

Step-by-step explanation:

Add 9 to both sides of the equation.

if you want to create a trinomial square on the left, find value that is equal to the square of half of b

Add the term to each side of the equation

SIMPLIFY >:(

How to Simplify it:

-Raise the -2 to the power of 2

and ten simplify 9 + (-2)^2 :

--Raise -2 to the power of 2 and then add 9 and 4

Factor the perfect trinomial square into (x - 2)^2

Solve the equation for x

How to do it:

-Take the square root of each side of the equation to set up the solution for x

--Then remove the perfect root factor, x - 2 under the radical to solve for x

---Remove parenthesis

----add 2 to both sides of the equation.

the final answer could be shown in different ways,but the exact form is x=±√13+2

In decimal form its x=5.60555127…,−1.60555127…

--this took me like 7 minutes to do im no geek tho lol

7 0

3 years ago

Need help with translation

sergij07 [2.7K]

Answer:

The translation rule will be: (x, y) → (x+3, y+9)

Step-by-step explanation:

As X'Y' is a translation of XY.

As the location of the vertix X is (-4, -9) and the coordinates of vertex Y is (-5, -5).

As X'Y' be the vertices of the translated figure.

So, if we translate the segment XY +3 units in the x-direction and +9 units in the y-direction, i.e.

(x, y) → (x+3, y+9) = (-4+3, -9+9) = (-1, 0) = X'

and

(x, y) → (x+3, y+9) = (-5+3, -5+9) = (-2, 4) = Y'

so, the image X'Y' will have the X' vertice at the location (-1, 0) and Y' vertice at the location (-2, 4).

Therefore, the translation rule will be: (x, y) → (x+3, y+9)

6 0

3 years ago