Correct. In the case where you are given enough information to use the law of cosines you could in fact then use the law of sines afterwards to find your remaining angle. That being said beware of solutions that don't make a feasible triangle (if you were using the law of cosines you only have one angle, so that means whatever your second angle is that you found using the law of sines can't make your sum go over 180, because you still need some angle left for the last angle).
Answer:
B
Step-by-step explanation:
Since p and v vary inversely then the equation relating them is
p = 
← k is the constant of variation
to find k use the condition p = 8 when v = 40
k = pv = 8 × 40 = 320
⇒ p(v) = 
→ B
Answer:
x-int=-8, y-int=2,-4
Step-by-step explanation:
for the x-int
you set x to 0 then solve the equation to get -8
for the y-int
you set y(or in this case f(x)) to 0 then solve. You solve this by spilting this into 2 linear equations; x-2=0 and x+4=0, then you solve them both to get the two y-intercepts, 2 and -4
Answer:
B
Step-by-step explanation:
For quadratic expression in this form, the first step is to multiply the number in front of 
with the last term, the constant (with the sign in front as well). This is the "multiplied number".
Step 2 is to come up with 2 numbers which when multiplied is equal to the "multiplied number" in step 1 above and also add to the number in front of 
.
For this problem, we would need 2 numbers that
- Add up to 27, and
- When multiplied, comes to -90 <em>(18 * -5 = -90)</em>
They already found the 2 numbers as expressed in the form shown 
. The 2 numbers are +32 and -5.
<em><u>Do they add up to 27, as required?</u></em>
Yes, 32-5=27
<u><em>Do they come to -90 when multiplied?</em></u>
No, 32 * -5 = -160
Hence, they add up, BUT NOT multiplied.
So the answer choice B is right.
Step-by-step explanation:
A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.
