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Vaselesa [24]
3 years ago
13

Write the slope intercept form of the equation of the line through the given points and slope 1,1 and slope of -3/5

Mathematics
1 answer:
Maslowich3 years ago
7 0

Slope is already given in the question so we only need to solve for the y-intercept.

Slope intercept form: y = mx + b

m = slope

b = y-intercept

-3/5 = -0.6

1 = -0.6(1) + b

1 = -0.6 + b

1 + 0.6 = -0.6 + b + 0.6

1.6 = b

Now, write in slope-intercept form.

y = -3/5x - 1.6

______

Best of Luck,

Wolfyy :)

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Problem 9
lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at \frac{1}{4} capacity, we can use the equation:

\frac{1}{4} * 12 = \boxed{3}

This shows \frac{1}{4} of his tank's capacity (12) is equal to 3 gallons. This means he will stop for gas when 3 gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}

This is a simple proportion, and now we know he uses 2.5 gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has 7 gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

\frac{7-3}{2.5} = 1.6

The 7-3 is because Leon doesn't stop when his tank is empty, he stops 3 gallons earlier. We are dividing by 2.5 because that is how much gas he uses per hour, meaning the result of this division (1.6) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + 2 hours of driving + the remaining 1.6 hours = 3:36PM

(1.6 hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

8 0
2 years ago
BRAINLIST HELP ASAPPPP PLEASEEEE DEW IN 5 MINNN
olga55 [171]

Answer:

(x+10)+(×+50)=180(exterior co- interior angel

2x+60=180

2×=180-60

×=120/2

×=60

(6x+3)=(7x-12)(corresponding angle )

3+12=7×-6×

x=15

4x-2=3x-19(vertically opposite angle)

4x-3×=-19+2

x=-17

4 0
2 years ago
Point D What is the slope of the graph of 6x + 12y = 7? A. 1/2 B. -1/2 C. 2 D. -2
Dima020 [189]
6x + 12y = 7

12y = -6x + 7

y = -6/12 + 7

y = -1/2 + 7

the slope of the equation is -1/2
8 0
3 years ago
In physics, if a moving object has a starting position at so, an initial velocity of vo, and a constant acceleration a, the
emmasim [6.3K]

Answer:

a=\frac{2S -2v_ot-2s_o}{t^2}

Step-by-step explanation:

We have the equation of the position of the object

S = \frac{1}{2}at ^2 + v_ot+s_o

We need to solve the equation for the variable a

S = \frac{1}{2}at ^2 + v_ot+s_o

Subtract s_0 and v_0t on both sides of the equality

S -v_ot-s_o = \frac{1}{2}at ^2 + v_ot+s_o - v_ot- s_o

S -v_ot-s_o = \frac{1}{2}at ^2

multiply by 2 on both sides of equality

2S -2v_ot-2s_o = 2*\frac{1}{2}at ^2

2S -2v_ot-2s_o =at ^2

Divide between t ^ 2 on both sides of the equation

\frac{2S -2v_ot-2s_o}{t^2} =a\frac{t^2}{t^2}

Finally

a=\frac{2S -2v_ot-2s_o}{t^2}

5 0
3 years ago
Nik and his friend bought shares of stock at the rate of $32 per share. For $3,520, Nik's friend bought 10 fewer shares than Nik
Svetradugi [14.3K]

Answer:

#1-List all outcomes for choosing the digit. *

0)

O

A: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

O

B: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

O

C: 1, 2, 3, 4, 5, 6, 7, 8, 9

OD: a number

O

Both B and C

Step-by-step explanation:

7 0
2 years ago
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