So anytime we have a slope and want to find the slope of a perpendicular line, we just have to remember a perpendicular line's slope is the negative reciprocal (reciprocal means flip the fraction). So if we had a slope of 3/4, the slope perpendicular to it would be - 4/3.
First we need to find our slope, to do this we take the change in y over the change in x like so:
(15-12)/(4-7) = - 3/4
The slope perpendicular to this is 4/3.
Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
step-by-step explanation:
using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).
since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:
84 < n + (n + 2) + (n + 4) < 96
in order to solve for 'n', we must first combine like terms:
84 < 3n + 6 < 96
subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90
divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.
Answer:
Step-by-step explanation:
-4x^2-36 can be rewritten as -4(x^2 + 9). The quantity in parentheses does not have real roots, but does have the imaginary roots ±3i.
Next time, please share the possible answer choices.
Answer:
C) The correlation is most likely a coincidence.
Step-by-step explanation:
By general comprehension of the population and their buying habits, I don't think we can really establish a relation between the sales of computers and the microwaves in a general manner. If the store is located near a university residence and it's September, there might be a link to be done, but in general, no.
It's not like some enters a store and says "Ok, will I buy a microwave or a computer today?". Those are two totally different products, with different clienteles and different needs.
Answer:
y=70 degrees
Step-by-step explanation:
If 2 angles are complimentary, they add up to 90 degrees.
x+y=90 degrees
x=20 degrees
y=90-20 degrees
y=70 degrees
If that is wrong, try this. Let's say the questions gives us the fact that x is 20 degrees greater than y.
y=x
Substituting x for y, the equation is x+x+20=90
Since y is x, x would also be y, which is 35. then x+20 would be 55.
So y would be 35.
THE ANSWER WOULD BE <u><em>70 DEGREES</em></u>, BUT IF THAT IS WRONG, DO THE SECOND ONE, WHICH IS 35