9514 1404 393
Answer:
(3, 0)
Step-by-step explanation:
The line through these points intersects the x-axis at x=3.
The x-intercept is (3, 0).
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The x-intercept can be computed from ...
x-intercept = x1 -y1(x2 -x1)/(y2 -y1)
= -3 -(-4)(6-(-3))/(2-(-4)) = -3 +4(9/6) = -3 +6
x-intercept = 3
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Here, it is simple enough to plot the points and see where the line crosses the x-axis.
Answer:
112 yd. cubed
Step-by-step explanation:
<h3>
Answer: Choice B) x = 65, y = 10</h3>
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Work Shown:
The upper pair of angles 60 degrees and (2x-y) degrees are supplementary angles. This is because of the parallel lines. Note how they are same side interior angles. Therefore, (2x-y) and 60 combine to 180 degrees like so
(2x-y)+60 = 180
2x-y = 180-60 ... subtract 60 from both sides
2x-y = 120 ... call this equation 1
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Similarly, (2x+y) and 40 also combine to 180
(2x+y) + 40 = 180
2x+y = 180-40 ... subtract 40 from both sides
2x+y = 140 ... call this equation 2
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Line up equation 1 and equation 2. Then add straight down
That becomes 4x = 260 which solves to x = 65 when you divide both sides by 4.
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If x = 65, then,
2x-y = 120
2(65)-y = 120
130 - y = 120
-y = 120-130
-y = -10
y = 10
or
2x+y = 140
2(65)+y = 140
130+y = 140
y = 140-130
y = 10
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Either way end up with x = 65 and y = 10
Answer:
Where's the table we can go off of??
Step-by-step explanation:
Answer:
Arts=295, Commerce=177
Step-by-step explanation:
That the three subjects have a common ratio implies that there is some common factor between them that relates to the actual number of students in each area, so 5:4:3 means 5x:4x:3x for some value of x
We know that there are 236 science students, so 4x = 236 or x = 59
so the number of arts students is 5(59) and the number of commerce students is 3(59)
Arts = 5*59 = 295
Commerce = 3*59=177