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Aliun [14]
4 years ago
8

Which is an equation of the line that passes through (-4,-2) and (4,2)?

Mathematics
1 answer:
N76 [4]4 years ago
4 0
The equation of a line is y = mx + b. Calculate the slope (m) from the 2 points.

m = (-2-2)/(-4-4) = -4/-8 = 1/2

We could stop here as only one answer has a slope of 1/2, namely A). But if you wanted to show that the y-intercept (b) was 0, you could use either of the points and substitute it into the equation of the line and solve for b.

(-4,-2):  
-2 = 1/2(-4) + b
-2 = -2 + b
0 = b

(4,2):
2 = 1/2(4) + b
2 = 2 + b
0 = b

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A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie
maksim [4K]

The patient is recommended to take 24 ounces of coffee per day.

<u>Step-by-step explanation:</u>

Patient normal intake of coffee daily = 5 times 12 ounces

                                                          = 5 × 12 = 60 ounces

Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$\frac{60 \times 60}{100}= 36 ounces

40 % of 60 ounces is 24 ounces.

So 60 - 36 = 24 ounces of coffee per day

6 0
3 years ago
If you apply the changes below to the
Dennis_Churaev [7]

Answer: Step-by-step explanation:

f(x) = (x-7)^2+3

3 0
3 years ago
A cylindrical can has a volume of 16 cm 3. What dimensions yield the minimum surface​ area? 1. The radius of the can with the mi
kykrilka [37]

Answer:

radius = 1.37 cm

height = 2.71 cm

Step-by-step explanation:

We are given volume = 16 m³.

Formula for volume of a cylinder is;

V = πr²h

Thus,

πr²h = 16

h = 16/πr²

Now formula for the surface area is;

S = 2πr² + 2πrh

Putting 16/πr² for h gives;

S = 2πr² + 2πr(16/πr²)

S = 2πr² + 2π(16/πr)

S = 2π(r² + 16/πr)

To minimize, we will find the derivative of S and equate to zero

S' = 2π(2r - 16/πr²) = 0

4πr - 32/r² = 0

4πr = 32/r²

r³ = 32/4π

r = ∛(32/4π)

r = 1.37 cm

From h = 16/πr²;

h = 16/(π × 1.37²)

h = 2.71 cm

5 0
4 years ago
Find the missing number in this proportion.<br><br> 7/35=28/?<br><br> 120<br> 140<br> 180<br> 190
bogdanovich [222]
Let, the missing number = x
Then, 7/35 = 28/x
1/5 = 28/x
x = 28 * 5
x = 140

In short, Your Answer would be Option B

Hope this helps!
6 0
3 years ago
Read 2 more answers
A little bit of help on my hw haha, will mark brainiest
Readme [11.4K]
B agree
A,c, d don’t make sense
6 0
3 years ago
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