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Vedmedyk [2.9K]
2 years ago
8

Write in y= mx + b form: a line through (-3,1) having the same y-intercept as the graph of x-2y=-4

Mathematics
1 answer:
MariettaO [177]2 years ago
7 0

Step-by-step explanation:

Aight, so the same intercept

- 2y =  - 4 - x =  =  =  >  \\ y =  \frac{1}{2} x + 2

m=½

y =  \frac{1}{2} x + b =  =  =  >  \\ now \: let \: us \: replace \: the \: point \\ 1 =  \frac{1}{2} ( - 3) + b =  =  =  >  \\  \frac{5}{2}  = b

soooo

y =  \frac{1}{2} x +  \frac{5}{2}

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Malcolm and Theo's families are both traveling to the same vacation resort.
Art [367]

Solution :

Equation for Malcom's family travels after t hours is d = 65 t

From the graph, equation for Theo's family travels after travels after t hours is

$d=\frac{225}{4.5}t$

$d=50 t$

For Malcom's family, speed $= \frac{d}{t}$ = 65 miles per hour

For Theo's family, speed $= \frac{d}{t}$ = 50 miles per hour

Malcom's family traveled faster than Theo's family by

        = (65-50) miles per hour

        = 15 miles per hour

8 0
3 years ago
The equation d=m/v can be used to calculate the density,d, of an object with mass,m,and volume,v.which is an equivalent equation
VARVARA [1.3K]

Answer:

V = M/D

Step-by-step explanation:

D = Density

M = mass

V = Volume

Volume for Density:

D = M/V

If we want to find volume we just rearrange the equation:

V = M/D

We can plug in the numbers to check whether or not this equation is true. Say we need to find density and the volumes & mass are already given (V=5 cm^3 and M=10g)

So, 10g/5cm^3 = D

         2g/cm^3 = Density

Using the following numbers we can now find the Volume. Say we don't know that 5cm^3 is the volume and we are only given the Density (2g/cm^3) and Mass (10g). We plug those values into the equation V=M/D:

V = 10g/2g/cm^3

V = 5cm^3

The grams cancel out and we are only left with the cm^3 part.

Hope that explains it :)

5 0
3 years ago
The surface area of a cube is 384 square inches. What is the volume of the cube?
lozanna [386]
384/6 (amount of faces) = 64
64/2 (area= l*w) = 32
32*3 (volume=l*w*h) = 96

I'm pretty sure this is correct, maybe just double check and see if this makes any sense according to what you're learning? I'm almost 100% sure. Hope this helps!
6 0
3 years ago
Read 2 more answers
Would you rather use color tiles or your ruler to measure the length of an object? Explain your choice.
elena-s [515]
A ruler because it gies you the exact measurement in inches, or centimeters and you can always multiply to find out how many feet something is. 
4 0
3 years ago
Read 2 more answers
How to graph y= 1/2x + 4
AlekseyPX
Start at 0,4 then go up 1 over two
6 0
3 years ago
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