Answer:
Equation of midsegment line: y = (-1/4)x + 2.
Step-by-step explanation:
If the parallel sides of a trapezoid are contained by the lines:-
y = (-1/4)x +5 and y = (-1/4)x - 1
Midsegment of any trapezoid is the line segment
1. that is parallel to pair of parallel side of trapezoid and
2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.
It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.
So y = mx + b
where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.
Hence, the equation of midsegment would be y = (-1/4)x + 2.
Answer:40
Step-by-step explanation:+$)#)#
It is given in the question that
A city had population 67,255 on January 1,2000, and its population has been increasing by 2935 people each year since then.
Here initial population , b, is 67255, and the rate of increase of population is 2935 people each year. And that's the value of the slope .
Using slope intercept form, which is
And substituting the values of m and b, we will get
answer is 1.566 deg
Step-by-step explanation:
The angle of elevation is given by the formula
tanθ = height/distance
tanθ = H/ 240
tanθ × 240 = H
θ =( tan∧-1) 240
= <u>1.566 deg</u>
The question is incomplete.
The complete question is:
Given the functions j(x) = x² − 9 and k(x) = −x + 7, which operation results in a 3rd degree polynomial?
Answer: the multiplication of j(x) and k(x)
Explanation:
<span>1) j(x) × k(x) = (</span><span>x² − 9) ( − x + 7)</span>
<span>2) Use distributive propery:
</span>
<span>(<span>x²)(- x) + (x²) (7) + (-9)(-x) + (− 9) ( 7) = - x³ + 7x² + 9x - 63
</span></span><span><span>
</span></span><span><span>
</span></span><span><span>The exponent of x is 3, hence this is a third degree polynomial.
</span></span>
