7(x+2)
Let's find the common term in this expression to factor it out. it is 7.
Factoring is the opposite of distributing.
If we distribute, we will get the original expression.
Next:
45-27k
Here, the common term is 9:
9(5-3k)
12ab+7b - the common term is b:
b(12a+7)
y^2-9y.
Here the common term is y:
y(y-9)
8r-32r² the common term here is 8r:
8r(1-4r)
16gh+28gh: the Common Term is 4gh:
4gh(4+7)
21w²-77wx The common term is 7w:
7w(3w-11x)
Hope it helps! Please mark Brainliest! =)
Answer:
Step-by-step explanation:
Let denotes the average braking distance for a population of small car.
Given : It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet.
i.e.
Objective of test : Whether the statement made in the advertisement is false
i.e.
Since '=' signs is contained by Null hypothesis and alternative hypothesis is against it.
So the null and the alternative hypotheses for the test will be:
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
* and
and
so
** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form