Cubic functions usually look like an S
Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔
Cross multiply
Divide both sides by 2 to make EH the subject of formula
The length of side EH = 12 m
Answer:
cccccccccccccccccccccccc
Step-by-step explanation:
Answer:
n = 3
,
−
6
Step-by-step explanation:
n
^2
+
3
n
−
12
=
6
.
Subtract 6 from both sides.
n
^2
+
3
n
−
12
−
6
=
6
−6
n^
2
+
3
n
−
18
=
0
⇒
(
n
+
6
)
(
n
−
3
)
=
0
∴
n
= −
6
,
3
Given that m < 1 = 5x, and m <2 = 9x, and that they are complementary angles with a sum of 90°:
We can establish the following formula:
m < 1 + m < 2 = 90°
Substitute the given values into the formula:
5x + 9x = 90°
Add like terms:
14x = 90°
Divide both sides by 14:
14x / 14 = 90° / 14
x = 6.42857
Substitute the value of x into m < 1:
m < 1 = 5x = 5(6.42857)
m < 1 = 32.1°
To verify whether we have the correct value for x, let’s substitute its value into the original equation:
m < 1 + m < 2 = 90°
5x + 9x = 90°
32.1 + 9(6.42857) = 90°
32.1 + 57.9 = 90°
90° = 90° (True statement. Therefore, we derived the correct value for x).
Therefore, the correct answer is: m < 1 = 32.1°
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