Answer:
<u>4y = x + 13</u>
Step-by-step explanation:
The general equation of the line y = mx + c
where m is the slope and c is constant represent y-intercept
The line shown in the graph pass through the points (3,4) , (-1,3)
The slope of the line = (y₂-y₁)/(x₂-x₁) = (3-4)/(-1-3) = -1/-4 = 1/4
∴ y = (1/4) x + c
Substitute with the point (3,4) to find c
∴ 4 = (1/4) 3 + c
∴ c = 4 - 3/4 = 13/4
∴ y = (1/4) x + 13/4 ⇒ multiply both sides by 4
∴ 4y = x + 13
So, The equation of the line in the graph: 4y = x + 13
The equation can be written as <u>y = (1/4) x + 13/4 OR 4y - x = 13</u>
<h3>
Answer is 10:7</h3>
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Explanation
It sounds like you want the decimal number to become a whole number. If so, then one way is to multiply both parts by 10 to move that decimal point over one spot to the right
3*10 = 30
2.1*10 = 21
The ratio 3:2.1 is equivalent to 30:21
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Then notice how 30 and 21 have the greatest common factor 3. Divide both parts by 3 so we can fully reduce this ratio
30/3 = 10
21/3 = 7
The ratio 30:21 simplifies fully to 10:7
The numbers 10 and 7 do not have any factors in common, other than 1, so we cannot reduce 10:7 any further.
Answer:
x=10 , y=7
Step-by-step explanation:
x + y = 17
we know that ducks has 2 feet and sheep has 4 feet.
so, 2x + 4y = 48
x = 17 -y
2(17-y) + 4y = 48
34 - 2y + 4y = 48
2y = 48 -3 4
2y =1 4
y=7
x + 7 = 17
x = 17-7
x=10
Answer:
1/5
Step-by-step explanation:
30 - 24 = 6
6 = 6/30
6/30 = 1/5
