Let's call the number x. The square of a number would be
. This is 12 more than the number itself. 12 more than the number is 12+x.
Putting this together we get
This is a quadratic equation so we set it equal to zero by subtracting x+12 from both sides. We obtain:
The left-had side factors as such:
(x-4)(x+3)=0
Since we have two expressions that when multiplied give zero either one or both equal zero. We set each equal to zero to obtain the solutions:
so x =4
and
so x=-3
The two solutions are 4 and -3
(7x + 2 + 8x^4) - (2x - 5 - 8x^4) + (3x + 5x^4) = 7x + 2 + 8x^4 - 2x + 5 + 8x^4 + 3x + 5x^4 = 21x^4 + 8x + 7
Answer:
The volume of the triangular prism is
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
where
B is the area of the base
H is the height of the prism
<em>Find the area of the triangular base B</em>
substitute the given values
<em>Find the volume</em>
9514 1404 393
Answer:
H y +268 = 12(x +20)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The first point in the table is (x, y) = (-20, -268), so the equation with these filled in is ...
y -(-268) = m(x -(-20))
y +268 = m(x +20) . . . . . . matches F or H
We can see that the values of y change by a lot more than the values of x. That means the slope is a lot more than 1. This observation eliminates choice F, so we are left with ...
H. y +268 = 12(x +20)
Answer:
A. Corollaries
B. Theorems
Step-by-step explanation:
Corollaries are some forms of theorems
Postulates and axioms are a given, their true value is accepted without proof.