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Semmy [17]
3 years ago
10

What is the equation of the line that passes through the points (0, -4) and (2, 8)?

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0
Option A is your answer, y = 6x - 4.

m = Y₂ - Y₁ / X₂ - X₁

m = 8 -  (- 4) / 2 - 0
m = 12 / 2
m = 6

So now your equation is y = 6x + b. This eliminates options C and D. Plug in any of your ordered pairs to find b. I picked the first one. 

- 4 = 6(0) + b
- 4 = 0 + b
- 4 = b

Your equation is y = 6x - 4. 
You might be interested in
Convert 120 kilometers per hour into miles per hour using dimensional analysis
musickatia [10]

Answer:

74.56 miles / h

Step-by-step explanation:

1 mile = 1.609 km

Using the dimensional analysis you multiply the number you want to convert by 1 (using a fraction with the needed units)

Since 1 mile = 1.609 km then:

1= \frac{1 mile}{1.609 km}

Now to convert 120 kilometers per hour to miles per hour :

120 \frac{km}{h} * \frac{1 mile}{1.609 km} = \frac{120}{1.609}\frac{miles}{h} = 74.56 \frac{miles}{h}

4 0
4 years ago
your mom bought 2.5 lbs of Turkey breast from shoprite and paid $8.10 How much was the turkey breast per pound?
asambeis [7]

To find how much it was per pound, you divide $8.10 by 2.5 lbs

8.10/2.5 = 3.24

$3.24 per pound

6 0
3 years ago
A cylindrical tank is half-full of oil. The cylinder has a base radius of 100 cm. The height of the cylinder is 250 cm. How many
lbvjy [14]
V=hpir²


1/2 full

Vcylinderthisone=(1/2)hpir^2
given
h=250
r=100

so

V=(1/2)(250)pi(100)²
V=125pi10000
V=1250000pi
aprox pi=3.141592
V=3926990 cm^3

divide by 1000
3926.99 liters
about 3927 liters
7 0
4 years ago
Read 2 more answers
Chris has 96 local and foreign stamps altogether in his collection. The ratio of the number of local stamps to foreign stamps is
Anna [14]

Answer:

Chris have 24 local stamps

Step-by-step explanation:

We are given that  The ratio of the number of local stamps to foreign stamps is 1 : 3.

Let the ratio be x

Number of local stamps = x

Number of foreign stamps = 3x

Total Number of stamps =x+3x=4x

We are given that Chris has 96 local and foreign stamps altogether in his collection

So, 4x=96

x=\frac{96}{4}

x=24

Hence Chris have 24 local stamps

3 0
3 years ago
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar
Alex_Xolod [135]

Answer

Find out the original side length of the square .

To prove

Let us assume that the original length of the square be x.

Formula

Area\ of\ rectangle = Length\times Breadth

As given

The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.

Length becomes  = x + 8

Breadth becomes = x -3

The area of the resulting rectangle is 126 in²

Put in the formula

(x + 8) × (x - 3) = 126

x² -3x + 8x -24 = 126

x ²+ 5x = 126 +24

x² + 5x - 150 = 0

x² + 15x - 10x - 150 = 0

x (x + 15) -10 (x +15) =0

(x + 15)(x -10) =0

Thus

x = -15 , 10

As x = -15 (Neglected this value because the side of the square cannot be negative.)

Therefore x = 10 inches be the original side of the square.






3 0
3 years ago
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