Answer:
2x+h
Step-by-step explanation:
f(x+h) means that wherever there's an x in the function f(x) we plug in a x+h
we have
(x+h)²+9
Let's start with the numerator
(x+h)²+9-(x²+9)
Distribute the exponent
x²+2xh+h²+9-x²-9
Which gives us
2xh+h²
Divide the whole thing by h to give us
2x+h
Multiple both sides of the equation by V, and divide both sides by T.. You'll get PV/T=KT/V*(V/T)=K.
The measure of angle (m ∠A) is 136°
<h3>Vertical angles theorem</h3>
From the question, we are to find the measure of angle A
From the given information, we have that
∠A and ∠B are vertical angles
Thus
∠A = ∠B
and
Also, from the given information,
m ∠A=(2x+26)°
and
m ∠B= (3x−29)°
∴ (2x+26)° = (3x−29)°
Now, solve for x
2x + 26 = 3x - 29
26 + 29 = 3x - 2x
55 = x
∴ x = 55
But measure of angle A is given by
m ∠A=(2x+26)°
Put the value of x into the equation,
m ∠A=(2(55)+26)°
m ∠A=(110+26)°
m ∠A = 136°
Hence, the measure of angle (m ∠A) is 136°
Learn more on Vertical angle theorem here: brainly.com/question/24839702
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Answer:
3.5 cm
Step-by-step explanation:
6x -1 = 4x + 6
2x = 7
x = 3.5
The rule of 72 says to divide 72 over the interest rate without the percent sign attached to it. This means we divide 72 over 9.6 to get 72/9.6 = 7.5
So the money doubles every 7.5 years. When another 7.5 years rolls around, a total of 2*7.5 = 15 years has gone by. At this point the money is roughly 4 times that of the original amount deposited.
<h3>Answer: choice B</h3>
