Answer: x^3 - a^3 = (x - a) (x^2 + ax + a^2) is an identity
Step-by-step explanation:
Verify the identity using trig rules.
Answer:
c=-6
Step-by-step explanation:
I used a calculator and paper and a pencil d---------b yeah :D yr welcome
Ok, so you would want to simplify both sides of the equation
(-1/3)(-12) + (1/3)(-12c)=-20 (here you distribute)
4+4c=-20
Then, subtract 4 from both sides
4c+4-4=-20-4
4c=-24
Then divide both sides by 4
4c/4=-24/4
c=-6
Answer:
1/20
Step-by-step explanation:
In Scarlette grade 1/5 of the students have a sister.
Of the students who have a sister 1/4 also have a brother
Therefore fraction if students in Scarlet's grade who had both brothers and sister can be calculated as follows
= 1/5 ×1/4
= 1/20
Answer:
y - 3 = (1/2)(x - 4)
Step-by-step explanation:
The graph is hard to read, but we can make assumptions about the x- and y-values shown. The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3). Let's try finding the equation of the line using this assumed data:
The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
We need the slope of the line. Recall that m = rise/run. Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2. Thus, the slope is m = rise/run = 2/4, or 1/2.
Substituting the known values into the point-slope equation y - k = m(x - h), we get:
y - 3 = (1/2)(x - 4)
Given:
The statement is: If 2 angles are both right angles then they are congruent.
To find:
The converse of the given statement and then check whether it is true or not.
Solution:
We know that,
Statement: If p, then q.
Converse : If q, then p.
The statement is: If 2 angles are both right angles then they are congruent.
So, the converse of this statement is:
If 2 angles are congruent then both are right angles.
This statement is not true because if 2 angles are congruent then it is not necessary that the angles are right angles.
Therefore, the converse of this statement is not true.
