3 x ( 9 - ( 4 + 2 ) divided by 2 )
2 answers:
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Answer:
Step-by-step explanation:
According to the Factor Theorem, a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
We have the polynomial:
And we want to find the value of <em>K</em> such that (<em>x</em> + 1) is a factor.
We can rewrite our factor as (<em>x</em> - (-1)). Thus, <em>a</em> = -1.
Then in orer for (<em>x</em> + 1) to be a factor, P(-1) must equal 0. Hence:
Simplify:
Solve for <em>K. </em>Hence:
Answer:
Step-by-step explanation:
The geometry of the problem does not seem well-described here. Assuming the spotlight beam and the observation are in the same vertical plane, there are two possibilities for the height:
.. 446 m . . . . . spotlight is aimed toward observer
.. 772 m . . . . . spotlight is aimed away from observer
See the attachment for the geometry. Choose the answer corresponding to the geometry of the problem.
.. 446 m . . . . . spotlight is aimed toward observer
.. 772 m . . . . . spotlight is aimed away from observer
See the attachment for the geometry. Choose the answer corresponding to the geometry of the problem.
Answer:
a. Angle Y is a right angle.
b. The measure of angle Z is 45°.
e. The perpendicular bisector of creates two smaller isosceles triangles.
Step-by-step explanation:
Let x represent the measures of base angles X and Z. Then 2x is the measure of vertex angle Y, and the sum of angles is ...
x + x + 2x = 180°
x = 45°
2x = m∠Y = 90°
so the triangle is an isosceles right triangle which has base angles of 45°.
The perpendicular bisector of XZ is the altitude of the triangle XYZ. It creates two smaller right triangles with acute angles of 45°. Hence, those, too, are isosceles right triangles.
