Help please show work
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Which of the following equations is modeled by the graph
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line b
line c
line d
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The line which represents the direct variation equation y = 1/2 x is: line c.
We know that every straight line has the equation
y = (slope) x + (y-intercept) .
Here, we have, this line y = 1/2 x,
the equation doesn't show any y-intercept.
The y-intercept is zero,
meaning that the line crosses the y-axis at the place where y=0.
That's the origin where the x- and y-axes cross.
so, we get, the line goes through the origin.
from the given graph we get,
There are only two lines there that go through the origin,
so one of those is the answer to the question.
Now, we have to find the slope of a line.
we know that,
If the slope of a line is positive, that means it rises as it goes.
If the slope of a line is negative, that means it falls as it goes.
The equation of the line is [ y = 1/2 x ].
The slope is 1/2 .
That's positive.
The line on the graph slopes up.
so, we get,
In the picture, that can only be line 'c' .
Hence, The line which represents the direct variation equation y = 1/2 x is: line c.
To learn more on Equation 0f Straight-Line click:
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again, you need to remember that EVERY straight line has the equation
y = (slope) x + (y-intercept) .
Right away, you know that this line goes through the origin ...
the equation doesn't show any y-intercept. The y-intercept is zero,
meaning that the line crosses the y-axis at the place where y=0.
That's the origin ... the place where the x- and y-axes cross.
Look at the graph they gave you. ... At first it looks like an ugly mess.
But look closer. There are only two lines there that go through the origin,
so one of those is the answer to the question.
Now let's talk about the slope of a line.
-- If the slope of a line is positive, that means it rises as it goes.
If you walk the graph from left to right, you're climbing.
-- If the slope of a line is negative, that means it falls as it goes.
If you walk the graph from left to right, you're going down-hill.
The equation they gave you is [ y = 1/2 x ].
The slope is 1/2 . That's positive.
The line on the graph slopes up. To walk it, you have to climb.
In the picture, that can only be line 'c' .
A 3-5.5 - 1.5
B 3-5.5 + 1.5
C 3-2.5-1
D 3-2.5 +
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The thing starts at 0 and goes up to 3 it then goes down to -2.5 which is 3-5.5 it then goes up to -1 which makes the whole thing 3-5.5+1.5
Hope this helps some.
Answer:
The Answer is B
Step-by-step explanation:
You start at 0 you go up 3, then you go back down 5.5 which gives you 2.5, then you add 1.5 which gives you -1
Hope this helps I just took the quiz and got 100%
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Answer:
56
Step-by-step explanation:
Answer:
56 containers
Step-by-step explanation:
There are 8 pints in 1 gallon
8 x 7 = 56
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Point B of the Triangle = ( x+2)
Point C of the Triangle = ( 6x+10)
(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.
Answers
The 3 inside angles of a triangle need to equal 180 degrees.
Add the 3 angles together to equal 180:
X + x+2 + 6x +10 = 180
Simplify:
8x + 12 = 180
Subtract 12 from each side:
8x = 168
Divide each side by 8:
x = 168 / 8
X = 21
a) x = 21
b) C = 6x+10
replace x with 21:
6(21) + 10 =
126 +10 = 136
Answer:
x = 21 and C = 136°.
Step-by-step explanation:
(a) Sum of all the triangle = 180°.
∠A + ∠B + ∠C = 180°.
∠A= X, ∠B = x +2 , ∠C = 6x+10.
X + x + 2 + 6x + 10 = 180°.
8x + 12 = 180°.
8x = 168.
x = 21.
(b) The measure of angle C can be done by substituting the vale of x = 21.
6x + 10, x= 21.
=6 × 21 + 10
=136°.
Thus, the value of x = 21 and C = 136°.