Answer:
See below in bold.
Step-by-step explanation:
1. x^2 - 13x - 30
We need 2 numbers whose product is -30 and whose sum = -13.
They are -15 and + 2:
Answer is (x - 15)(x + 2).
2. 2x^2 + 4x - 126
First we can take 2 out to give:
2(x^2 + 2x - 63)
Now we need 2 numbers whose product is - 63 and sum = +2.
These are +9 and - 7 so
Answer is 2(x - 7)(x + 9).
3. -30x^3 + 3x^2 + 9x
First we can take out -3x to give
-3x(10x^2 - x - 3)
Now we want 2 numbers whose product is 10*-3 = -30 and whose sum is -1. They are -6 and +5 so we write the above as:
-3x(10x^2 + 5x - 6x - 3)
Now we factor the parentheses by grouping:
= -3x( 5x(2x + 1) - 3(2x + 1)
= -3x(2x + 1)(5x - 3) Answer.
The answer to the second part is 12x^2 - 13x - 21.
Part 3
1, 18.
2. 6.
3. = 5(2(-3)^2 - 3*3*4 + 4^2) - 3)) - 2(-3)(-3 + 7(4) - 1) - 3*4^2
= 5*(67) - 2(72) - 48
= 143.
4. (11m^2 - 7) - (6m^2 + 3m - 11) + (3m^2 - m - 9)
= 11m^2 - 7 - 6m^2 - 3m + 11 + 3m^2 - m - 9
= 8m^2 - 4m - 5
A = 8, B = 4 and C = 5.
Answer:
The sine = 0.2724 and the cosine = -0.9615 to 4 decimal places.
Step-by-step explanation:
The point (-7,2) is in the second quadrant .
The sine is positive and the cosine is negative,.
The hypotenuse of the triangle in the second quadrant = √((-7)^2 + 2^2)
= √53 ( by Pythagoras), the opposite side = 2 and the adjacent side = -7.
So the sine of the angle is 2 /√53 and the cosine is -7/√53.
or 0.2724 and -0.9615 to 4 decimal places.
Answer:
B) (x -1)(x - 8)
Step-by-step explanation:
x = 1 and x = 8
x - 1 = 0 --->x = 1
x - 8 = 0--> x = 8
answer B) (x -1)(x - 8)
Answer:
triangle 1 and triangle 3.
Step-by-step explanation:
Given : Four triangle .
To find : Which triangles in the diagram are congruent.
Solution :
By Congruent rule Side angle side : In triangle 1 and triangle 3 are congruent by side angle side .
Therefore, triangle 1 and triangle 3.
Answer:
51/10, 4 and 1/9, 5.116, and 5.98
Step-by-step explanation:
least to greatest
