Complete question
To find
, Beau found
and
. He said that since 5 is between 4 and 9,
, is between 2 and 3. Beau thinks a good estimate for
, is
Is his estimate high or low? How do you know?
Answer:
The estimation is high because 5 is very close to 4 so
will also be very close to
which is lower than the estimate
In order to get a good estimate
The first step is to choose a number between 2 and 3 let say 2.8 , 2,85 , 2.9 and the square them
i.e



From here we can see that
lies between 2.2 and 2.3 but is closer to 2.2
So a good estimate for
is 2.2
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
The sum of angles of a triangle is 180
<V + <P + <M = 180
47+85+x = 180
132 +x = 180
Subtract 132 from each side
132-132+x = 180-132
x =48
Answer:
Step-by-step explanation:
A) 5x - 7 = 5x becomes -7 = 0 if 5x is subtracted from both sides. This result is never true, so NO SOLUTION
B)3x−9=3(x−3) Performing the indicated multiplication, we get
3x - 9 = 3x - 9. This is always true, so there are INFINITELY MANY SOLUTIONS
C)2x−6=−2(x−3) Performing the indicated multiplication, we get
2x - 6 = -2x + 6. Adding 2x - 6 to both sides results in
4x - 12 = 0, or 4x = 12. Thus, the solution is x = 3. ONE SOLUTION
D)2x+6−5x=−3(x This equation is incomplete
Step-by-step explanation:
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
These are examples of exponential equations:
y = a bˣ
If b > 1, the equation is exponential growth.
If 0 < b < 1, the equation is exponential decay.
So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.
Also, 2/3 is the inverse of 3/2, so:
g(x) = (3/2)^(-x)
So more specifically, f(x) and g(x) are reflections of each other across the y-axis.
Answer:
Yes
Step-by-step explanation:
If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.