So the first one is (7x)^(1/2) or square root of 7x minus - 5 square root all squared so
([7x^(1/2)]-[5^(1/2)]) times ([7x^(1/2)]-[5^(1/2)])
or 7x-(35x^(1/2))-5+(35x^(1/2)) or 7x-5
number 2
since 11 is 1/2 of 22 it can be written as
the square root of 3 or 3^(1/2)
When dividing fractions, we follow a rule called "Keep, change, flip"
Basically, you keep the first fraction the same, change the sign to a multiplication sign, and flip the second fraction.
2 = 2/1
7 * 1 + 6 = 13
2/1 * 7/13 = 14/13 = 1 1/13
2 divided by 1 6/7 = 1 1/13
3 3/5 = 18/5
2 1/4 = 9/4
18/5 * 4/9 = 72/45 = 8/5 = 1 3/5
3 3/5 divided by 2 1/4 = 1 3/5
4 1/2 = 9/2
2 3/8 = 19/8
9/2 * 8/19 = 72/38 = 36/19 = 1 17/19
4 1/2 divided by 2 3/8 = 1 17/19
Answer:
x = 75
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
Answer:
The number of cases prior to the increase is 50.
Step-by-step explanation:
It is given that the number of measles cases increased by 13.6% and the number of cases after increase is 57.
We need to find the number of cases prior to the increase.
Let x be the number of cases prior to the increase.
x + 13.6% of x = 57



Divide both the sides by 1.136.



Therefore the number of cases prior to the increase is 50.
Answer:
(-8x - 12) + (9x + 4)= x-8
(-3p^3 + 5p^2 - 2p) + (3r^2 - 3r)= -3p^3+5p^2-2p+3r^2-3r
( -3p^3 + 5p^2 - 2p) + (-p^3 - 8p^2 -15p)= -4p^3-3p^2-17p
. ( 9r^2+4r-7) + (3r^2-3r)= 12r^2+r-7