All categories

2 years ago

Write the slope-intercept equation of the line parallel to 5y = 2x + 20 that goes through (-1, 3)

Mathematics

1 answer:

katen-ka-za [31]2 years ago

8 0

Answer:

$y = \frac{2}{5}x + 3\frac{2}{5}$

Step-by-step explanation:

This line was never finished, so you finish it like this:

$\frac{5y}{5} = \frac{2x + 20}{5} → y = \frac{2}{5}x + 4$

3 = −⅖ + b

$3\frac{2}{5} = b \\ \\ y = \frac{2}{5}x + 3\frac{2}{5}$

Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so ⅖ remains the way it is.

I am joyous to assist you anytime.

You might be interested in

Can any body answer this sheet for me all of it

kirill [66]

8194-3657=4537
7455-3728=3727
7863-456=7407
9897-7202=2695
7152×59=421968
4905×38=186390
3598×80=287840
1231×29=35699
2
$2 \sqrt{1160} = 580$
$8 \sqrt{6192} = 774$
$8 \sqrt{1896} = 237$
$6 \sqrt{4752} = 792$
63÷7=9
56÷7=8
30÷5=6
64÷8=8
7×6=42
36÷6=6
81÷9=9
5×9=45
6×7=42

7 0

2 years ago

Triangle DIG is reflected across the l-axis.

drek231 [11]

there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.

IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)

This meant that for reflecting across the x axis, (x,y)->(x,-y)

For y axis its the opposite, just flipping to the side.

This meant that for reflecting across the y axis, (x,y)->(-x,y)

7 0

2 years ago

Excursion boat on the river takes 2 1/2 hours to make the trip to a point 12 miles upstream and to return if the rate at which t

Mama L [17]

Answer:

Let the current speed be "c";

Then the boat speed in still wate is "5c":

-----------------------

Upstream speed:

distance = 12 miles ; rate = 5c-c = 4c mph ; time = 12/4c = 3/c hrs

---------------------------

Downstream speed:

distance = 12 miles ; rate = 5c+c = 6c mph ; time = 12/6c = 2/c hrs

Step-by-step explanation:

Equation:

time + time = 2 1/2 hrs

3/c + 2/c = 5/2

Multiply thru by 2c to get:

6 + 4 = 5c

c = 2 mph (speed of the current)

5c = 10 mph (speed of the boat in still water)

3 0

2 years ago

What is the greatest common factor of 24,40,and 72

riadik2000 [5.3K]

The GCF of 24, 40, and 72 is 8.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

8 0

3 years ago

Need the answer ASAP

Evgesh-ka [11]

Anwser:

22.5 or 5/22 or 30

Step-by-step Explanation:

-2 and -2
SSS
-2+-2= -4

-4 x 30= -120

-120 divided by 4 is 30
but that’s not a fraction so you do

22.5 or 5/22

-2 x -2 x 30=

7 0

3 years ago