Answer:
Here, as shown in picture,
if HJ ~=JI
=> 2y~=80-2y
=> 4y~=80
=> y~=20
=> Option A
Hope this helps!
:)
Answer:
x=-5
Step-by-step explanation:
it requires a calculator
hope this helps
Answer:
x + 2y + 4 =0
Explanation:
1) You know a point (4 - 1) and that the line is perpendicular to a given line.
2) From the equation of the perpendicular line whose equation was given, you determine the slope, for which you can use the slope-intercept form of the equation:
2x - y - 7 = 0 => y = 2x + 7.
The slope is the coeffiicient of x, which is 2.
Therefore, slope = 2.
3) The slope of the other line is the negative inverse of the slope of the perpedicular line:
slope = - 1/2
4) Now that you have the slope of your line and the point (4, - 1) you determine the equation with this procedure:
y - b
------- = slope
x - a
where a y b are the coordinates of the point (4, - 1) and the slope is -1/2
=>
y - (-1)
---------- = - 1/2
x - 4
5) Simplify
2(y + 1) = - (x - 4)
2y + 1 = - x + 4
2y + x +1 + 4 = 0
x + 2y + 4 =0 <---------- this is the equation searched.
Answer:
1 is the answer
Step-by-step explanation:
Given that the U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions.

(Right tailed test for testing of a sample proportion with population proportion)
Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize have increased union membership at 0.025 level of significance.
Test statistic Z = 1.31
p value for this right tailed test would be 0.095
This p value is greater than 0.025
Hence at 2.5% significance level the conclusion is correct
1 is the answer.
The greatest common factor is the biggest number taken from the values.
Q1. The answer is <span>A. 5y^6
</span>

Since

, then

Back to our expression:

The greatest common factor is thus

Q2. The answer is <span>D. 12xy^2
</span>

We will use the rule

to factorise the exponents:

The greatest common factor is thus