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Dafna1 [17]
2 years ago
14

Which iS an equation of the line with a slope of 1/4 and a y-intercept of -2?

Mathematics
1 answer:
qaws [65]2 years ago
5 0

Answer: C

Step-by-step explanation:

Convert all equations into slope-intercept form, the equation must have a slope of 1/4 and a y-intercept of -2

A) x + 4y = -8

4 ÷ (4y = - x - 8) ÷ 4

y = -1/4x - 2 --> Not the correct equation because slope is negative

B) 4x - y = 2

-1 ÷ (- y = 2 - 4x) ÷ -1

y = 4x - 2 --> Not the correct equation as the slope is not a fraction

C) x - 4y = 8

-4y = 8 - x

-4 ÷ (x - 4y = 8) ÷ -4

y = 1/4x - 2 --> Therefore, C is the correct equation

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Softa [21]
We calculate both velocities:
upstream 8 miles in 2 hours = 4 miles / hour
downstream 8 miles in 1 hour = 8 miles / hour

ps -stream speed = 4 mph
ps + stream speed = 8 mph
Adding both equations
2 ps = 12 mph
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4 0
3 years ago
If the perimeter of a square is 20, find the length of a diagonal
avanturin [10]

Answer:

7.07

Step-by-step explanation:

<h2><u>Length</u></h2>

a square has equal length on each side

hence is the perimeter is 20 it means that :

each side is 20/4 = 5

we can make a diagonal line which create 3 right angled triangles

2 sides of the triangle are 5 , this is the base and the height

to find the length we can make use of the Pythagoras theorem

c^2 = a^2 + b^2

c is the hypotenuse ( the diagonal;)

a and b are the opposite and adjacent

hence :

c^2 = 5 ^2 + 5^2

c^2 = 50

c = \sqrt{50}

c = 7.071

to 3sf

<h3><u>diagonal length  = 7.07</u></h3>

6 0
3 years ago
Why does the sum of -4 and 3 complain more than the sum of -3 and 5
dem82 [27]
The sum of -4 and 3 complain more because its negative

5 0
3 years ago
The temperature in your town is 31 degrees Fahrenheit. The radio announcer says that the temperature will drop 15 degrees.What w
laiz [17]

Hi,

New temperature will be 31 F - 15 F = 16 F.

Green eyes.

4 0
3 years ago
Read 2 more answers
-7x is less than or equal to -21
julsineya [31]
The answer is x=3
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6 0
3 years ago
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