Answer:
(3x−4)(2x+3)
Step-by-step explanation:
6x²+x-12=
(3x-4)(2x+3)
We get this because (3x-4)(2x+3) equals out to 6x²+x-12. If you need more explanation, reply to this answer.
0.002. You have to do 1 divided by 500. Or you can just add a zero behind the decimal because it's 500 and it has 2 zeros and you already know that 1/50=0.02
Well, you would need to multiply 6.75 and 21, since there are 21 spools, you then simply subtract the spool used for the project and the is your answer, and don't forget to label
Answer:
Step-by-step explanation:
*Notes (clarified by the person who asked this question):
-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)
-The bottom side of the right triangle is marked with a question mark (?)
<u>Triangle 1 (triangle on left):</u>
Special triangles:
In all 45-45-90 triangles, the ratio of the sides is , where is the hypotenuse of the triangle. Since one of the legs is marked as , the hypotenuse must be
It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:
<u>Triangle 2 (triangle on right):</u>
We can use basic trig for right triangles to set up the following equations:
,
We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:
, where is the hypotenuse of the triangle and and are two legs of the triangle.
Verify
The simplest solution:
y - intercept of the function on the graph is (0; 6).
Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept
f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6
Other functions have y - intercept equal (0; -6).
f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6