Answer:
A) (-5, -34)
Step-by-step explanation:
f(x) = x^2 + 10x - 9
We complete the square to get the equation in vertex form
Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation
f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9
f(x) = x^2 +10x +25 -25 -9
f(x) = (x^2 +10x +25) -34
The term in parentheses simplified to (x+10/2) ^2
= (x+5)^2 -34
= (x - -5)^2 -34
This is in the form (x-h)^2 +k
The vertex is (h,k) h=-5 and k=-34
(-5,-34)
Answer:
Step-by-step explanation:
Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.
Arc LK = 80
No, (9.5, 144) does not make sense because there is no point of 9.5 and when you divide the ounces of water by the flavoring packets you end up with 12, and if you were to simplify that it would end up with 1 flavor packet and 12 ounces of water.
Answer:
16
Step-by-step explanation:
38 divided by 2 3/8 is 16 and 16 times 2 3/8 is 38
Answer:
x = 2.8
y = 2
Step-by-step explanation:
Reference angle = 45°
Opposite = 2
Hypotenuse = x
Adjacent = y
✔️To find x, apply the trigonometric function SOH:
Sin 45 = Opp/Hyp
Sin 45 = 2/x
x*Sin 45 = 2
x = 2/Sin 45
x = 2.82842712 ≈ 2.8 (nearest tenth)
✔️To find y, apply the trigonometric function TOA:
Tan 45 = Opp/Adj
Tan 45 = 2/y
y*Tan 45 = 2
y = 2/Tan 45
y = 2
