start with y= m(x+9)
Use the distributive property:
y= mx+9m
Now you want x to decrease by 6:
so y ' = m(x-6) + 9m
Use distributive property again:
y'= mx - 6m + 9m
y' = (mx+9m) - 6m
y' = y - 6m
So the value of y decreases by 6m.
Answer:
12
Step-by-step explanation:
This triangle is a 3-4-5 Pythagorean Triple. 9 is 3*3, 15 is 5*3, so b is 4*3, which is 12. Alternatively, you could use the Pythagorean Theorem's converse, sqrt(15^2-9^2), and get 12.
Answer:
x = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
72 + 6x + 2 + 17x - 9 = 180
23x + 65 = 180 ( subtract 65 from both sides )
23x = 115 ( divide both sides by 23 )
x = 5
You would need to see the rest of the equation to plug in 7 for x. Treat it as y=equation and replace any x with 7.
Answer:
Factor this polynomial:
F(x)=x^3-x^2-4x+4
Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).
The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at
x = 1, x = 2 and x = -2. This means that
x^3-x^2-4x+4 = A(x - 1)(x - 2)(x + 2)
A = 1, as you can see from equation the coefficient of x^3 on both sides.
Typo:
The rational roots can be
+/-1, +/-2 and +/-4
Step-by-step explanation:
