1. It is fairly tedious to use construction techniques on paper to rotate a figure 90°, and somewhat error-prone to use a protractor. So, the attached makes use of a geometry program to rotate the parallel lines. In each case, XE is rotated to X'E.
d) You notice the resulting lines A'B' and C'D' are both perpendicular to the original AB and CD and are parallel to each other. They are the same distance apart that they were. (Rotation does not change distances or angles.)
2.
a) ∠ABC is supplementary to ∠CBD, so has measure 180°-50° = 130°.
b) ∠EBD is a vertical angle to ∠ABC, so has the same measure, 130°.
c) ∠ABE is a vertical angle to ∠DBC, so has the same measure, 50°.
Answer:
2, 6
Step-by-step explanation:
x always go first
Answer:
Imaginary roots occur in conjugate pairs
Therefor the roots are
8 , -14, 3 + 9i and 3 - 9i
f(x) = (x - 8)(x + 14)(x - (3 + 9i))(x - (3 - 9i))
Which expands to
f(x) = x⁴ - 58x² + 1212x - 10080
Step-by-step explanation:
The correct option is C. "boost" most nearly means promote.
He was propelled over the barrier by someone pushing or shoving up from below. 2: Increase, raise plans to expand productivity, such as adding a second holiday to boost spirits. 3: to advance a cause or an interest: publicize a campaign to support the newest trends. It would jump-start the economy and give us the boost we need. 4: to increase the voltage of or across (an electric circuit).
The New York Times approved the idea in a major article on Sunday, giving it a boost. For us to feel confident, we need a significant victory. Do your best to inspire her with confidence and raise her spirits.
Learn more about boost here
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Have in mind that as you cannot take the square root of a negative number, this means that x-4 CANNOT be negative. So it's either 0 or it's positive.
So we proceed like this:<span>x−4≥0</span>
<span>x−4+4≥0+4</span>
<span>x≥4
</span>So the domain is <span>{<span>x|x≥4</span>}
</span>In interval notation, the domain is <span><span>[4,∞)
I hope thi can help you</span></span>