What is the answer to number 29 ?
2 answers:
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Answer:
He Melanie , use SOH CAH TOA to remember the trig functions
Step-by-step explanation:
for 14 they hyp = 22 and we know one angle of 45°, we also know that the triangle has a right angle or 90° and by inspection we can tell that the other angle is also going to be 45° so we know X and Y will be the same length, is why this is a good observation.
Use one of the trig functions with H in it b/c you know Hyp is 22, so,
SOH = Sin(Θ)= Opp / Hyp
Sin(45) = Opp / 22
Sin(45) * 22 = Opp
/ 2 * 22 = opp
11* = opp is the exact answer, if you would like some decimal places, it's 7.7781 units, both X and Y
for 15 we can use SOH again for the bigger triangle. we know the Hyp is 24 and the angle is 30°
Sin(30) = Opp / 24
Sin(30) *24 = Opp
12 = Opp ( Because I know Sin(30) = 1/2 )
Opp is the upright between the two triangles
Use CAH Cos(Θ) = Adj / Hyp
Cos(30) = Adj / 24
Cos(30) * 24 = Adj
/2 *24 =Adj
12 = Adj
Z = 12 or if you want some decimals 20.7846
Becasue the smaller triangle is also a 45° right triangle we know that the upright and side Y are the same lengths
then
Y = 12
You could use SOH or CAH to find the Hyp but, lets just resort to Pythagoras, and use his formula to find Hyp
Hyp =
Hyp =
hyp = 16.97
X = 16.97
:)
Quadratic function whose zeros are 5 and -7 is x^2+2x-35=0
Step-by-step explanation:
Write a quadratic function h whose zeros are 5 and -7
If 5 and -7 are zeros of quadratic function then:
x=5 and x=-7
or x-5 = 0 and x+7=0
So, Finding quadratic equation:
So, quadratic function whose zeros are 5 and -7 is x^2+2x-35=0
Keywords: Quadratic Function
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Answer:
Step-by-step explanation:
We are solving for in the equation:
First, isolate the variable term by subtracting from both sides of the equation:
Now, divide both sides of the equation by the coefficient of :
This solution for , as a decimal, would be non-terminating. If you divided
into
, you would get the non-terminating decimal of:
Therefore, our solution is:
-
We can check our solution by substituting for
in the initial equation:
Substitute:
Simplify :
Add:
Since both sides of the equation are equal, our solution is correct!