Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
9x+7y=4
7y = - 9x + 4
y = -9x/7 + 4/7
Comparing with the slope intercept form, slope = - 9/7
If the line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (7,-4) is 7/9
To determine the intercept, we would substitute m = 7/9, x = 7 and y = -4 into y = mx + c. It becomes
- 4 = 7/9×7 + c = 49/9 + c
c = - 4 - 49/9 = -85/9
The equation becomes
y = 7x/9 - 85/9
Answer:
True
Step-by-step explanation:
Vertical angles always come in pairs. They share a common vertex but they cannot share a side. Vertical angles are congruent, which means they have equal measures.
Answer:
He has 3 apples
Step-by-step explanation:
6 - 3 = 3
3 times 2 is 6
3 + 3 = 6
Answer:
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
Step-by-step explanation:
The null hypothesis is:
Because of the claim of the farmer.
The alternate hypothesis is:
The alternate hypothesis tests the farmer's claim at a significance level.
The results are calculated to be statistically significant at the 0.01 level.
This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.
