Answer:
Step-by-step explanation:
Use the Law of Cosines
A = arccos[(10²+14²-9.6²)/(2×10×14) ≅ 43.3°
Answer:
4cx
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Step-by-step explanation:
Y + 18 = a(x + 3)^2
<span>0 + 18 = a(0 + 3)^2 </span>
<span>18 = 9a </span>
<span>2 = a
</span>
<span>y = 2(x + 3)^2 - 18 </span>
<span>0 = 2(x + 3)^2 - 18 </span>
<span>18 = 2(x + 3)^2 </span>
<span>9 = (x + 3)^2 </span>
<span>± 3 = x + 3 </span>
<span>-3 ± 3 = x </span>
<span>x = 0 or -6
</span>
<span>(0, 0) and (-6, 0)</span>
Answer:
Given
f(x) = 2x+7
g(x) = x^2-4
h(x) = 5x
a. 4h(x)
= 4 * 5x
= 20x
b. f(x) - g(x)
f(x) - g(x) = 2x + 7 - (x^2 - 4)
= 2x+7-x^2+4
=-x^2+2x+7+4
=-x^2+2x+11
c. f(g(x)) = 2(g(x))+7
=2(x^2-4) +7
=2x^2-8+7
=2x^2-1
d. g(x)h(x) = (x^2-4)(5x)
= 5x^3 - 20x
e. g(x) / f(x) = x2 - 4/ 2x + 7
Answer: The correct options are 1,2 and 3.
Explanation:
If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes.
According to the reflection rule across the x-axis,
From the given figure it is noticed that the coordinate of point D(0,4) and E(-2,0).
After reflection,
Therefore the option 1 and 2 are correct.
From the given figure it is noticed the distance of point G from the x-axis is 2, therefore the distance from the G' to x-axis is also 2, because the distance of preimage and image are equal from the line of reflection.
Therefore, the option 3 is correct.
From the given figure it is noticed the distance of point D from the x-axis is 4, therefore the distance from the D' to x-axis is also 4.
Therefore, the option 4 is incorrect.
From the below figure it is clearly noticed that the orientation will not be preserved. Because the sides are not equal, so the reflection will change the orientation.