Answer:
72 x 2 = 144
144/12 = 12
x = 12
Step-by-step explanation:
Working backwards, we know A = b*h/2
First we multiply 72 * 2, to get b*h
now we divide that by 12, the base
Then we get the hieght, 12
Answer:
UY = 20
WX = 15
VW = 15
Step-by-step explanation:
Given: UVWXY ~ HDEFG
From inspection of the diagram, the corresponding sides are:
UV~HD
VW~DE
WX~EF
XY~FG
UY~HG
The only pair of sides that both have side lengths are XY and FG. Therefore, we can use these to figure out the scale factor of dilation.
XY = 10 and FG = 20
⇒ FG/XY= 20/10 = 2
Therefore, HDEFG is an enlargement of UVWXY by a scale factor of 2
If HG = 40
⇒ UY = 40 ÷ 2 = 20
If EF = 30
⇒ WX = 30 ÷ 2 = 15
If DE = 30
⇒ VW = 30 ÷ 2 = 15
Answer: The answer is at the bottom.
Step-by-step explanation:
Write
x
|
x
|
<
7
as a piecewise.
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{
x
2
<
7
x
≥
0
−
x
2
<
7
x
<
0
Solve
x
2
<
7
when
x
≥
0
.
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0
≤
x
<
√
7
Solve
−
x
2
<
7
when
x
<
0
.
Tap for more steps...
x
<
0
Find the union of the solutions.
x
<
√
7
The result can be shown in multiple forms.
Inequality Form:
x
<
√
7
Interval Notation:
(
−
∞
,
√
7
)
Answer:
y=-3/2x+3
Step-by-step explanation:
The slope is -3/2x because it's going down 3 and to the right 2.
And it intercepts the y-axis at 3. Thus, 3 is the y-intercept.