Answer:
Step-by-step explanation:
Rationalize the denominator of b. So, multiply the numerator and denominator by [tex]\sqrt{x}[/tex]
[tex]b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x} }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\[/tex]
Now, find a +b
[tex]a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}[/tex]
Combine like terms
[tex]= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}[/tex]
Now find (a + b)²
(a +b)² = [tex](\frac{2\sqrt{x} }{x})^{2}[/tex]
[tex]= \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}[/tex]
Hint: [tex]\sqrt{x} *\sqrt{x} =\sqrt{x*x}=x[/tex]
Convert Decimal to Percent
1.5
Answer:
150%
Step-by-step explanation:
In one basketball game, Zaid made 7 two-point and three-point baskets to score 17 points. Let x represent the number of two-point baskets, and y represent the number of three-point baskets. This situation can be represented by the system x+y=7 and 2x+3y=17 . How many of each type of basket did Zaid make?
Answer:
y =three point score = 3
x = two point score = 4
Step-by-step explanation:
this question can be solved using simultaneous equation
x + y = 7 eqn 1
2x + 3y = 17 eqn 2
Multiply eqn 1 by 2 to derive eqn 3
2x + 2y = 14 eqn 3
Subtract eqn 3 from 2 :
y = 3
Substitute for y in eqn 1
x + 3 = 7
x = 4
-3 = 3/4r + 2
find r
Answer:
r = -20/3
Step-by-step explanation:
can i get brainliest plz
Answer:
-20/3
Step-by-step explanation:
3/4r + 2 = -3
subtract 2 on both sides...
3/4r = -5
divide by 3/4 on both sides...
3/4r divided by 3/4 is r.
-5 divided by 3/4 is the same thing as...
-5 times 4/3 (flip the fraction)
-20/3
Hope this helps!
The diagram below shows a circle
with a diameter of 8.6 centimeters.
8.6 cm
Rounded to the nearest tenth of a
centimeter, what is the approximate
circumference of the circle?
A 25.8 cm
B 26 cm
C 27 cm
D28 3cm
If there are 180 students in the girls athletics program, then
how many students participated in soccer?
Answer:
27
Step-by-step explanation:
15: 100 = x : 180
x = (180 x 15) / 100 = 27
Answer:
27
Step-by-step explanation:
Seems like your question(shown/written) is incomplete. Based on the given data.
15% of the total students participated in soccer
15% of 180 students participated in soccer
=> 15/100 x 180
=> 2700/100
=> 27
27 students participated in soccer
2x-y=3 ; 5x+2y=30 solve using elimination
Answer:
x = 4, y = 5
Step-by-step explanation:
[tex]2x-y=3\\4x-2y=6[/tex]
so:
[tex]4x - 2y = 6\\+ 5x + 2y = 30\\9x= 36\\x=4[/tex]
Substitute this into 2x - y = 3:
[tex]8-y=3\\y = 5[/tex]
Which of these is a trinomial?
O A. 5xy
O B. x + 2y^2 - 7
O
O c. -
C. 2x^3 - 7y^3
O D. 2x - 7
Answer:
a is the answer to this question but sorry if I am wrong
Answer:B
Step-by-step explanation:
Because I got the question wrong and that was the correct answer
When you flip a biased coin the probability of getting a tail is 0.33. Find the probability of getting a head.
Answer:
0.67
Step-by-step explanation:
Subtract 1.00 –0.33 = 0.67
The sum of all the probabilities must add up to 100%
A = 2^3 x 3 x 5
B = 22 x 3 x 52
(b) Write down the highest common factor (HCF) of A and B.
Answer:
Step-by-step explanation:
B = 22 × 3 × 52?—or is it supposed to be
B = 2² × 3 × 5² ?
A = 2² × 3 × 5
B = 2² × 3 × 5²
GCF = 2² × 3 × 5 = 60
A = 2² × 3 × 5
B = 22 × 3 × 52 = 2³ × 3 × 5 × 11 × 13
GCF = 2² × 3 × 5 = 60
Can someone help me Asap
22
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CALCULATORS
51
Maple Trail intersects Woodland Trail and Elm Trail at their midpoints. You enter the trails at point P. You walk from the entrance up Woodland
Trail to Maple Trail, over Maple Trail to Elm Trail, down Elm Trail to Oak Trail, and then back to the entrance. How many miles did you walk?
Woodland Trail
- 3.6 mi-
Elm Tra
Maple Trail
2.6 mi
Oak Trail
You walked
miles.
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True or False: The relationship is a proportional relationship.
Answer:
false
Step-by-step explanation:
when graphing a proportional relation ship you should be able to draw a straight through all the points
example
Two-fifths of one less than a number is less than three-fifths of one more than that number. What
solution set of this problem?
x <-5
x>- 5
x>-1
X<-1
Answer:
its going to be option D
Step-by-step explanation:
i promise im right
please help with this!
Answer:
a) HK
b) EF
c) ∠J
d) ∠E
e) JKH
Karen ran 12 kilometers. One mile is approximately equal to 1.6 kilometers. Which measurement is closest to the number of miles Karen ran?
Answer:
7.5 miles
Step-by-step explanation:
1 mile=1.6 kilometer
12/1.6=7.5
¡¡ASAP!!! Pls help me out asap!
Answer:
V = 96.16
Step-by-step explanation:
Formula:
V = πr²h
r = d/2 = 1.75
V = 3.14(1.75)²10
V = 96.16
Mrs. Smith cuts 1 2 of a piece of construction paper. She uses 1 6 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?
Answer:
1/12 fraction of the sheet of paper is used to to make the flower
Step-by-step explanation:
The size of the piece of paper cut from the construction paper = 1/2
Amount of paper used from this piece to make flower = 1/6
Total amount of construction paper used = 1/2 * 1/6
= 1/12
Divide z by 11. Then, add 8.
Please HELP!!! 20 POINTS!!
Answer:
guessing 8
Step-by-step explanation
27-3= 24
24/3=8
Write an equation for a line with a slope of 5 and y-inter of -3
Answer:
y=5x-3
Step-by-step explanation:
y=mx+b where m=slope and b= y-intercept
Please answer please
Answer:
20/3 - 59/15 = 41/15
6 2/3 - 3 14/15 = 2 and 11/15
Step-by-step explanation:
Two lines that have the same slope do not intersect at any points.
Two lines that have different slopes intersect at exactly one point.
True, True for some cases, False
Please help
Answer: I am pretty sure that it is true for some cases
Step-by-step explanation:
Help ASAP!
The stack consists of five rows of boxes that are all the same size.
Answer:
d)
Step-by-step explanation:
As it always n X n, from first row, there is 1 or 1 X 1, the second row is 4 which is 2 X 2, then keep going, so for nth row, there will be n X n cube.
If it is helpful, plz give me Brainliest.
Calculate the area of the shape below
7.6 cm
11 cm
Answer:
7.6 x 11 = 83.6
Ignore decimal points, multiply normally.
THEN consider the numbers after the decimal point, count them then place the decimal point in your final answer from the left to the right of the many times the numbers are after the decimal point.
In a bag of smarties candy, there are 7 blue candies, 5 yellow candies 1 red candy and 12 green candies. What is the ratio of yellow candies to green candies?
Answer: 5 : 12
Step-by-step explanation:
There are 5 yellow candies and 12 green candies.
This means that for every 5 yellow candies in the box, there are 12 green candies.
The ratio is therefore:
Number of yellow candies : number of green candies
= 5 : 12
Answer:
5:12
Step-by-step explanation:
Question 1
Which of the following is NOT linked to cardiovascular disease
An online gaming company offers two different plans for unlimited access. Plan A has a one-time $27
membership fee and is $6.50 a month. Plan B has a $14.50 membership fee and $9.00 a month. Write one of the equations in the system of equations.
Please help
Explanation is in the file
tinyurl.com/wpazsebu
please need help asap
Answer:
134
Step-by-step explanation:
What is the correct height of the triangle ??
Answer:
9 units
Step-by-step explanation:
The dotted line, which is the height, is labeled as 9, so it is 9 units.
Hope that helps!
Answer: 9 units
Step-by-step explanation: If you look at the question on the photo you see a dotted line with a 9 on it. On a triangle when you something like that you know it the actual height of the triangle
1/5 ( 4x + 3) 5/6x - 1
Answer:
3
Step-by-step explanation: