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yaroslaw [1]
3 years ago
5

The equation for the line g can be written as x-y=9. Line h is parallel to line g and passes through (4,5). What is the equation

of line h?
Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Please help me!!!
Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

y = x+1

Step-by-step explanation

The equation in slope intercept form is expressed as y = MX+c

m a the slope

Get the slope of the line

Given the line x-y =9

-y = -x+9

y = x-9

Slope of the line is 1

Since it is parallel to the given line, the slope o the required line is also 1

Substitute m = 1 adnd (4,5) into the point slope form

y-y0 =m(x-x0)

y - 5 = 1(x-4)

y-5 = x-4

y= x-4+5

y = x+1

Hence the required equation is y = x+1

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Lisa ran around a rectangular field 150 m long and 50 m wide at an average speed of 100 m/min. How long did she take to complete
Anarel [89]

Answer:

20 minutes

Step-by-step explanation:

To make one round of the field, Lisa will have to cover the entire perimeter of the field.

The perimeter of a rectangle = 2(l+w) Where L = length and W = width.

The multiplication of 2 means two lengths and widths that each rectangle has. The perimeter of the field = 2(150 +50) = 400m

Lisa's average running speed = 100m/min

The time taken to cover one round of the field or one perimeter of the field = 400/100 = 4 minutes.

To cover 5 rounds or 5 perimeters Lisa will take 5x4 minutes = 20 minutes.

6 0
3 years ago
Read 2 more answers
You are paid a commission plus $5.40 per hour with time and a half over time for all hours over 8 per day. Your commission consi
Hitman42 [59]

Answer:

Gross pay for the week = $603.85

Step-by-step explanation:

Monday pay = (5.4 x 8) + (2.7 x 1) = $45.9

Tuesday pay = 5.4 x 8 = $43.2

Wednesday pay = (5.4 x 8) + (2.7 x 3) = $51.3

Thursday pay = (5.4 x 8) + (2.7 x 1) = $45.9

Friday pay = (5.4 x 8) + (2.7 x 2) = $48.6

Saturday pay = 5.4 x 8 = $43.2

Commission on first $3000 = 0.04 x 3000 = $120

Commission on sales above $3000 = 0.05 x 4115 = $205.75

Gross pay for the week = 45.9+43.2+51.3+45.9+48.6+43.2+120+205.75 = $603.85

8 0
3 years ago
A mason's assistant's rate of pay is $0.95 per cubic foot of earth moved. he digs a trench 2.5 ft. wide by 2 ft. deep by 150 ft.
Romashka [77]
Well well if he gets paid. $0.95 per ft^3 this equates to:
pay = $0.95 * volume

because the volume is the amount of ft^3

a trench shape would be considered rectangular. The the volume of rectangle is :
volume = length * width * height

so:
v = 2.5 ft * 2 ft * 150 ft
v = 750 ft^3

so:
pay = 0.95 $/ft^3 * 750 ft^3

p = $712.50
3 0
3 years ago
53.4*16.2 please please
sweet-ann [11.9K]

Answer:

865.08

Step-by-step explanation:

✯Hello✯

↪  The answer is 865.08

↪  Times both of them by 10 so they are whole numbers

↪  Then it will be 534 x 162 = 86508

↪  Then divide by 100

❤Gianna❤

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3 years ago
What is the a-value of the graph? ​
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