Answer:

Step-by-step explanation:
Find the gradient of the equation

The equation will have the gradient -3x
Use the general equation of a line, and substitute the coordinates in to find the y-intercept.

(4, -6)


(0, 6)

The equation of the line is

Answer:
x=12
Triangle abc and Def are congruent but different sizes. The original triangle has side values of 2, 6 and 5. Then the shape is dilated by an unknown factor, giving it the side lengths of 4, x, and 10. Looking at the increase in side lengths we see that theres an increase of 2 to 4, or multiplying by 2 and an increase from 5 to 10, or multiplying by to. So now that we know there was a dilation of 2, we multiply 6 by 2 to find 12
The hypothesis testing for this problem is:
a. The hypothesis for this problem are:
Null: H0: μ=6
Alternative: Ha: μ≠6
b. Test
T-statistics = (6.08 - 6) / 0.44* √(121) = 2
c. P value = 0.047759
Since our p-value is smaller than the significant level of 0.05, we can say that we reject the null hypothesis.
Conclusion: there is enough evidence to say lathe is not in perfect adjustment.
For this case we observe that the three angles of the triangle are equal. Also, we have by definition:
A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or
.
Answer:
The three sides have the same length