Answer:
CU = 117
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
substituting in values to the ratios
= 
( cross- multiply )
24(36x - 1) = 3432 ( divide both sides by 24 )
36x - 1 = 143 ( add 1 to both sides )
36x = 144 ( divide both sides by 36 )
x = 4
CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117
Answer:
will be the fraction.
Step-by-step explanation:
Here the recurring decimal number is 0.0343434....
To convert this recurring decimal to fraction we assume,
x = 0.03434.... -------(1)
Now multiply both the sides with 100.
100x = 3.43434.... ------(2)
Now subtract equation (1) from equation (2).
100x = 3.43434
<u> x = 0.03434</u>
99x = 3.4
x = 
= 
x =
Therefore, fraction that represents the decimal number is
Answer
so there are 7 singing acts and 5 comedy acts.
Step-by-step explanation:
Let x= number of singing acts.
Let y= number of comedy acts.
We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.
We solve x+y=12
Y=-x+12
We know y=-x+12, so we will substitute that for the y in the second equation.
1. Substitute 5x+3(-x+12)=50
2. Distribute 5x-3x+36=50
3. Solve 2x+36=50
2x=14
X=7
Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.
5(7)+3y=50
35+3y=50
3y=15
Y=5
Answer:
The inverse f-1(x) = ( x + 10)/2.
Step-by-step explanation:
f(x) = 2x - 10
Find x in terms of f(x):
2x = f(x) + 10
x = (f(x) + 10))/ 2
Replace x by the inverse f-1(x) and f(x) by x:
f-1(x) = (x + 10)/2.
Ok so your original equation was y=4(x-2)²-1
Therefore we need to expand the bracket to find the original equation.
To do this we need to find (x-2)²=x²-4x+4
Now we multiply this by 4 and subtract 1
4x²-16x+15 Therefore B is the answer
