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Marysya12 [62]
3 years ago
13

Triangle ABC has vertices at A(4, 7) , B(13, 7) , and C(9, 11) .

Mathematics
1 answer:
lozanna [386]3 years ago
3 0
1) F - A = (1, 1) -(4, 7) = (-3, -6). Triangle FGH has been translated left 3 and down 6, corresponding to selection D.

2) Reflecting (x, y) across the y-axis changes it to (-x, y).
.. X' = (0, -6) . . . . . the point maps to itself. It is on the line of reflection.
.. Y' = (10, 4)
.. Z' = (-3, -1)
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This a counting circle that I found online.

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Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr
DiKsa [7]

Answer:

y=-\frac{1}{3} x+5

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points (x_1,y_1) and  (x_2,y_2) for the line, use them to find the slope of the line that goes through them, with the formula:  slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}

Therefore, the slope of the line must be -\frac{1}{3}

Now, find the y-intercept (b) using the general form of a line with the given slope:

y=-\frac{1}{3}x +b

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5

then the y-intercept must be 5. Therefore our line is : y=-\frac{1}{3}x +5 which appears listed as your second choice.

8 0
3 years ago
Read 2 more answers
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C) 5/8 ÷ 6 5/6.

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Firdavs [7]
Using TOA CAH SOH

You are given an angle and a length, in this case the lenth is adj to the angle.

∴ use TOA
tan(32) = f/18
f = 18tan(32)
f = 11.24764 units
f ≈ 11.25 units (2d.p.)
5 0
3 years ago
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