An expressions obtained from the square of binomial expression is a perfect square trinomial . For example: x square+2x+1
Answer:
Step-by-step explanation:
90/15=6/z
6=6z
z=1
Answer:
The population in 2039 would be;
<em>Note</em><em>: this value can be confirmed by using the spreadsheet to extrapolate values.</em>
Explanation:
Given that the population in 2019 was;
And the population in 2020 was;
The population growth can be modeled with a linear equation;
The slope m is given as;
And b would be the value of y at x=0.
where x is the number of years after 2019;
the model can then be written as;
At year 2039, x would be;
substituting the value of x into the model;
Therefore, the population in 2039 would be;
<em>Note: this value can be confirmed by using the spreadsheet to extrapolate values.</em>
Answer:
The equation of the line is y -24 = -5(x + 6)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-31 - 24)/(5 - -6)
m = (-31 - 24)/(5 + 6)
m = -55/11
m = -5
Now that we have the slope, we can use it and either point in point-slope form.
y - y1 = m(x - x1)
y - 24 = -5(x - -6)
y - 24 = -5(x + 6)
The angle measure of a straight line is 180°, and so if the you know that one angle off of it is (5x)°, then you know that the other section is (180 - 5x)°.
Because it's an isosceles triangle, there are two identical angles, which happen to be the angles with the measure of (5x - 30)° and (180 - 5x)°.
Since they have the same measure, 5x - 30 = 180 - 5x. Solve:
Thus,
x = 21°.