9514 1404 393
Answer:
x-intercept: (16, 0)
y-intercept: (0, 8)
Step-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable of interest.
I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.
<u>x-intercept</u>
y = 0, so we have 4x = 64 ⇒ x = 64/4 = 16
x-intercept is (16, 0)
<u>y-intercept</u>
x = 0, so we have 8y = 64 ⇒ y = 64/8 = 8
y-intercept is (0, 8)
_____
<em>Additional comment</em>
There is a form of the linear equation called the "intercept form" that looks like this:
x/a +y/b = 1
where 'a' is the x-intercept and 'b' is the y-intercept.
You can get this form by dividing the standard form equation by the constant. Here, that gives ...
4x/64 +8y/64 = 1
x/16 +y/8 = 1
This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.
Answer:
I'm pretty sure the answer is -a²b and 5a²b
Step-by-step explanation:
So for the first one it is (x-3)(x+3) this is because it is a difference of squares so you square root the 9 and the minus you do both +and - in order to keep up the -9
The zeros are:x=3 and x=-3 ( this is because you change the sign in the bracket
the others should be pretty simple to do for number 2 its a complex
the third is a simple trinomial
and fourth is simple trinomial as well
B.1/6
i think that's the answer <span />
Answer:
vi = 25.28 m/s
Step-by-step explanation:
a = -9.4 m/s²
x = 34 m
vf = 0 m/s
vi = ?
We can apply the equation
vf² = vi² + 2*a*x
⇒ vi = √(vf² - 2*a*x)
⇒ vi = √((0 m/s)² - 2*(-9.4 m/s²)*34 m)
⇒ vi = 25.28 m/s
