Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D
Answers
Answer:
See answer below.
All you have to do is input the equation into the square root formula.
Step-by-step explanation:
Answer:
x =
2 , 8
Step-by-step explanation:
(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25
= x² - 10x + 25
x² - 10x + 25 = 9
x² - 10x + 25 - 9 = 0
x² - 10x + 16 = 0
x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)
x = {10±√(100-64)} / 2
x = {10±√36} / 2
x = {10±6} / 2
x₁ = {10-6} / 2 = 4/2 = 2
x₂ = {10+6} / 2 = 16/2 = 8
Check:
x₁
(2-5)² = 9
-3² = 9
x₂
(8-5)² = 9
3² = 9
Related Questions
Write an equation for the cubic polynomial
function shown.
To find the equation of the function, first find the
of the graph.
Answers
Answer:
Step-by-step explanation:
It is zeroes
Answer to 1st question: Zeroes
Answer to 2nd question: 2 3 5
Round the following to three decimal places.
: A. 1.4366 B. 0.8792
C. 0.3455
Answers
Answer:
1.4370.8790.346Step-by-step explanation:
A. 1.4366 = 1.437
B. 0.8792 = 0.879
C. 0.3455 = 0.346
[tex]0.1\:1\:1\:1\\0\:. 1\:2\:3\:4\:decimal \:place[/tex]
Note ;
(0 to 4 ); round down (0 to 5); round upYou work at a sporting goods store and make commissions on the products you
help sell. If you earn a 5.5% commission on all regular priced items, and a 4.5%
commission on all items on sale, how much do you earn in a week where you sell
$8,800 worth of regular goods, and $10,650 worth of items that are on sale?
Answers
Answer:
963.25
Step-by-step explanation:
8,800x0.055=484
10,650x0.045=479.25
484+479.25=963.25
The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?
Answers
Answer: 27 cm
Step-by-step explanation:
We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.
[tex]675\pi =\pi (5^2)h[/tex] [divide both sides by π]
[tex]675 = (5^2)h[/tex] [exponent]
[tex]675=25h[/tex] [divide both sides by 25]
[tex]h=27[/tex]
Now, we know that the height is 27 cm.
Margo baked 120 cookies for the school big sale 84 of the cookies were chocolate chip what portion of the cookies were chocolate chip select the three correct answers a 42/60 B 84% C7/10 D 0.70 E 0.84
Answers
Explanation:
120*0.70
84
So, 70 percent of 120 is 84. Which means the chocolate chip cookies are 70% (0.70) of the cookies in all.
Simplify the radical /1829.
Answers
Answer:
Step-by-step explanation:
A rate of 5 yards per second is equal to how many yards per minute?
Answers
Answer:
300 yards per minute
Step-by-step explanation:
60 seconds in a minute 5 yards per second
5x60=300 yards per minute
What's 2|–9| – |–2|? Question 10 options: A) 20 B) –18 C) 16 D) –20
Answers
Answer:
Step-by-step explanation:
7
2 x -9 =-18 and which the absolute value sign would make it positive 18 then 18 - the absolute value of -2. 18-2= 16
not sure if that is the answer tho
is negative 73 a natural number
Answers
No.
Negative numbers are not natural numbers.
Natural numbers are positive whole numbers.
1, 2, 3.... and so on.
Step-by-step explanation:
Hey there!!
(-73) is not a natural number.
The reason is natural number always starts from 1 and ends at infinity. But as the given number is -73 it is below 1. So, it's not a natural number.
Hope it helps...
.....................
Answers
In which table does y vary directly with x
Answers
Answer:
No. C
Step-by-step explanation:
please mark me brainleast
Table C shows the proportional relationship between x and y that y varies directly with x option (C) is correct.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
y vary directly with x
y ∝ x
y = kx
k is the constant.
k = y/x
Checking table A:
k = -2/1 = -4/2 ≠ -16/3
Checking table B:
k = -5/1 ≠ 18/2 = 41/3
Checking table C:
k = 26/1 = 52/2 = 78/3 = 26
Thus, table C shows the proportional relationship between x and y that y varies directly with x option (C) is correct.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ2
find the distance between points J(13,2) and K(7,10)
Answers
Answer:
10
Step-by-step explanation:
√(13 – 7)^2 + (2 – 10)^2
√(6)^2 + (-8)^2
√36 + 64
√100
10
c. When the cost of flour was Rs 28 per kg, the weight of a bread was 496 gram.
What will be the weight of bread if the cost of flour increases to Rs 32 per kg?
Answers
Answer:
hope it helps
plz mark as brainliest
Answer:
when cost of flour was 28 then cost of bread is 496
so the coost of bread if flour cost 32 = 496*32/28=566.86
Step-by-step explanation:
(You will need a calculator.) Suppose you deposit $4800 into an account paying 3.2% simple annual interest and leave it there for six years.
Assuming that you make no other deposits or withdrawals, how much will the account hold at the end of that time?
Answer: $
(Round your answer to the nearest cent. Enter only the number without commas, not the dollar sign.)
Answers
Answer:
Step-by-step explanation:
principal (P) = $4800
Interest (I) = 3.2%
Time (T) = 6 years
Now
I = (P*T*R)/ 100 = (4800*3.2*6) / 100 = 921.6
Amount (A) = P + I = 4800 + 921.6 = $5721.6 = $5272
What is the sum of the first 10 even multiples of 8?
Answers
all of those numbers add up to the sum of 440
440 is ur answer :)
4. Rewrite the expression using the distributive property.
(7•3) + (7•7)
Answers
We can use the formula of distributive property
a(b+c)=ab+ac
So it will look like a(b+c)= (7•7)+(7•3)
A is 7, B is also 7, and C is 3. Plug those in and you get 7(7+3)
Answer: 7(7+3)
Hope this helps ʕ•ᴥ•ʔ
what is the capital of poland?
Answers
Answer:
Warsaw is capital of poland
Answer:
Warszawa
Step-by-step explanation:
simplify: 6 + √27 / 3
Answers
Answer:
6 + √27 / 3
6+ (3√3/3)
6+√3
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
So, the first step if simplifying the square root. Since 27/3 is equal to 9, you now have to take the square root of 9.
6+[tex]\sqrt{27/3}[/tex]=?
Since 27/3 is equal to 9, you now have to take the square root of 9.
6+[tex]\sqrt{9}[/tex]=?
The square root of 9 is 3.
So, you end up with this:
6+3=12
Please complete the venn diagram and list how many elements are in each region thanks :)
Answers
Answer:
5
Step-by-step explanation:
Region I = n(A) - n(A union B) - n(A uniton C) + region V
= 24 - 10 - 15 + 6
= 5
A _______________________ is a conclusion after you have observed the patterns.
Answers
Answer:
Inductive Reasoning is the process of arriving at a general conclusion based on observations of specific examples. When you try to find the pattern for a list of numbers or visuals, you are using inductive reasoning.
Tim biked 40 miles in 2 hours. His Rate is
every hour.
This means Tim biked
miles for every hour ?
Answers
Answer:
20 miles/hour
Step-by-step explanation:
40 miles in 2 hours,
thus,
40/2 miles in 2/2 hours = 20 miles in 1 hour.
Therefore, Tim bikes 20 miles per hour.
In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5.
What is the weight of gold in the alloy, if there are 80g of silver?
Answers
Given :
The ratio of the amount of gold to the amount of silver is 2:5.
To Find :
The weight of gold in the alloy, if there are 80 g of silver.
Solution :
Let, amount of gold is x.
So, the ratio of amount of gold and silver is :
[tex]\dfrac{x}{80}=\dfrac{2}{5}\\\\x=32\ g[/tex]
Therefore, the weight of gold in the alloy is 32 g.
Hence, this is the required solution.
Answer:
32
Step-by-step explanation:
do 80÷5=16 to get unit. Then do 16*2=32
PLEASE HELP!
What percent of the circle is shaded?
Can you also explain how to get the answer?
Answers
Answer:
40%
Step-by-step explanation:
1/5 = 20%
then 2/5 would equal 40%
Answer:
40%
Step-by-step explanation:
It is 40 because if you move the two shaded then its two and if you fill in the rest you will need three more.
Combine like terms -2+5x-8x+4
Answers
Answer:
-3x+2
Step-by-step explanation:
5x-8x-2+4
= -3x+2
Answer:
-2+5x-8x+4
-3x+2
Step-by-step explanation:
The equation of a parabola with a vertex as the origin is y2=−4px. If 4p=12, what is the equation of the directrix?
Answers
Answer:
-5
Step-by-step explanation:
ASAP
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clot that cost 180
$6.00
O $9.80
$10.80
O $18.60
Answers
The reason being. 180 x 6% = 10.80. You would then add 10.80 to 180 to get the total which would be $190.80. But you only need what the tax would be so the tax would be $10.80
I am genuinely so confused please help
Answers
Answer:
I hope it will help you :)
When considering different sampling methods, cluster sampling includes the steps: _______.
a. use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample
b. list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list
c. starting with the one that was randomly selected
d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
e. identify individuals of the population that are easily accessible; obtain data from these individuals
Answers
Answer:
d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
Step-by-step explanation:
Remember, a cluster represents a selection out of a group belonging to a larger population. Thus, cluster sampling includes the steps;
divide the population into groups;use simple random sampling to identify a proportionate number of individuals from each group.For example, A bus company wants to survey all its customers for a particular day, using cluster sampling, they will randomly select 10 trips that day and survey some or all the passengers on those trips.
Answer:
B
Step-by-step explanation:
A rectangle with length of 9 centimeters and width of 5 centimeters. The perimeter of the rectangle is cm. If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are . The perimeter of the new rectangle is ✔ 168 cm. When comparing the new perimeter to the original perimeter, the new perimeter is .
Answers
The perimeter of the new rectangle is 150 cm more than the original perimeter.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle with a length of 9 centimeters and a width of 5 centimeters.
The perimeter of the rectangle will be
Perimeter = 2 (9 + 5)
Perimeter = 2(14)
Perimeter = 28
If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions will be
Length = 6 × 9 = 54 cm
Width = 6 × 5 = 30 cm
The perimeter of the new rectangle is 168 cm.
When comparing the new perimeter to the original perimeter, the new perimeter will be
→ New perimeter - original perimeter
→ 168 - 28
→ 150
The perimeter of the new rectangle is 150 cm more than the original perimeter.
More about the rectangle link is given below.
https://brainly.com/question/10046743
#SPJ2
Answer:
1. C
2. D
3. D
4. B
Step-by-step explanation:
Tyler is paid time and a lovertime after 40 hours worked in a week. His hourly rate is $13/h. What is his
gross pay if he worked 48.5 hours last week?
Answers
Answer:
$630.50
Step-by-step explanation: