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
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
y-3x=13 for y. Can someone plz help i don’t know what this is and please explain the steps well
Answer:
3x-y=-13
Step-by-step explanation:
y-3x=13
Use the commutative property to reorder the terms
-3x+y=13
Change the signs on both sides of the equation
3x-y=-13
Solve for the valid solution set: x−3≥2 or x+5≥7
Answer: X ≥ 5 or X ≥ 2
Step-by-step explanation:
Add 3 to both sides for the first equation
x ≥ 5
and subtract 5 from both sides for the second one
x ≥ 2
A 150 foot fence encloses a garden. What is the length of each side of the garden?
Solve.
4y - 3 = 5y + 2
Enter your answer in the box.
y = O
Answer:
y=-5
Step-by-step explanation:
Answer:
it's -5
Step-by-step explanation:
4y−34y−3−4y−3−3−2−5=====5y+25y+2−4yy+2y+2−2ySubtract 4y from each side.Combine like terms.Subtract 2 from each side.Simplify.
The perimeter of the rectangle below is 224 units. Find the length of side PQ.
Write your answer without variables.
Demi traveled 480 miles in 6 hours. What was her average speed in miles per hour?
rx - sx + y = b solve for y
Answer:
y = b-rx+sx
Step-by-step explanation:
rx - sx + y = b
Subtract rx from each side
rx-rx - sx + y = b-rx
-sx +y = b-rx
Add sx to each side
sx - sx + y = b-rx+sx
y = b-rx+sx
Find the length of each line segment or object
Answer:
1 ⁷/₈ in
Step-by-step explanation:
that is exactly 1 ⁷/₈ in
A candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
Answer:
120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
Step-by-step explanation:
We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.
Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.
So, according to the question;
x + y = 150 ------------ [equation 1]
and [tex]30\% \text{ of } x + 40\% \text{ of } y=32\% \text{ of } 150[/tex]
[tex]30x+40y= 32 \times 150[/tex]
[tex]30x+40\times (150-x)= 4800[/tex]
[tex]30x+6000-40x= 4800[/tex]
[tex]10x = 6000-4800[/tex]
[tex]x=\frac{1200}{10}[/tex]
x = 120 kg
Now, putting the value of x in equation 1, we get;
x + y = 150
120 + y = 150
y = 30 kg
Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
if f(x)=2x-1 what does f(10) equal
Answer:
19
Step-by-step explanation:
Step 1:
x = 10
Step 2:
2 ( 10 ) - 1
Step 3:
20 - 1
Answer:
19
Hope This Helps :)
Evaluate –32 + (2 – 6)(10
Steps to solve:
-32 + (2 - 6)(10)
~Simplify
-32 + (-4)(10)
~Multiply
-32 - 40
~Subtract
-72
Best of Luck!
Answer:
The answer is -49Step-by-step explanation:
The equation is: –32 + (2 – 6)(10).
Then u have to do PEMDAS
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
you follow the steps to get -49
Consider the diagram Lines AC and RS are A coplanar. B parallel. C perpendicular D skew.
Answer: The answer is skew!
Step-by-step explanation:h
When lines are not parallel, and they do not intersect, such lines are said to be skewed.
Line AC and RS are skew.
From the diagram, we have two planes.
Plane xPlane yLine AC is on plane x, while line RS is on plane y
Plane x and plane y are not parallel;
So lines AC and RS are not parallel.
Also, both lines are not parallel.
Using the condition of skewness stated above, we can conclude that line AC and RS are skew.
Read more about skewness at:
https://brainly.com/question/1995934
Please help, I don't understand, please
-8+(-3)=
Answer: -11
Step-by-step explanation:
Answer:
the answer is -11
Step-by-step explanation:
= -8+ -3
= -11
A small family home in Tucson, Arizona has a rooftop area of 1967 square feet, and it is possible to capture rain falling on about 61.0% of the roof. A typical annual rainfall is about 14.0 inches. If the family wanted to install a tank to capture the rain for an entire year, without using any of it, what would be the required volume of the tank in m3 and in gallons
Answer:
Required of volume of tank = 39.62 m3 or 10471.18 gallons
Step-by-step explanation:
Total volume of water collected = Annual Rainfall * Useful Area
Total volume of water collected = 1199.87 * 1.1667
Total volume of water collected = 1399.89 ft3
---1 ft3 = 7.48 gallons
Hence, total volume of water collected in gallons = 1399.89 * 7.48 = 10471.178 gallons
----1 ft3 = 1/35.315 m3 = 0.0283 m3
Therefore total volume of water collected in m3 = 1399.89 * 0.0283 = 39.6169 m3
Workings
Useful area = 61% of 1967
Useful area = 0.61 * 1967
Useful area = 1199.87 sq/ft.
Annual rainfall = 14 inch = 14/12 month
Annual rainfall = 1.1667 ft.
need answer asap pleasee
True or false: Supporting evidence refers to examples that can be used to help visualize why a statement is true. (1 point) This statement is false. Supporting evidence refers to examples that can be used to help visualize why a statement is false. This statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is false.
Answer:
The answer is: This statement is true :)
Step-by-step explanation:
what is the radius of 16\pi
Jeri drew the following model to represent the fraction 2/3. What's wrong with her model? had to redo it
Answer:
It is not an equal diagram it is showing 1/2 instead of 2/3
Step-by-step explanation:
HOPE THIS HELPS!!! (mark brainliest)
The model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The model is representing 2/3.
As we can see in the picture the model is not representing 2/3 because 2/3 means 2 parts of 3 whole.
It is not an equal diagram it is showing 1/2 instead of 2/3
Thus, the model is incorrect because 2/3 represents the 2 parts of 3 whole and the model is not representing 2/3.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Find two consecutive whole numbers that √56 lies between (PLEASE HELP NEED ASAP!!!)
Answer:
8 and 7
Step-by-step explanation:
because the square root of something is something used in math
Arnold needs to simplify the expression below.
4.3x3+11
(8.2-0.5 x 7)- 6
Which operation should he perform first?
O 7-6
O 0.5x7
O 8.2-0.5
3 +11
Answer:
0.5 x 7
Step-by-step explanation:
hope this helps
How do you know that 8 thousandths is less than 1 hundredth
The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?
Answer:
12
Step-by-step explanation:
(-8p^3+9p^2q)+(8p^3-pow+5q^2)
Answer:
-1opw+9p^2q+5q^2
Step-by-step explanation:
.
Ms. Lady works-out with Ms. Beetle; her average
crawling time has increased to 4 feet per minute, while
Ms. Beetle, who is used to eating Hot Cheetos and
watching TV, averages 2.5 feet per minute. While at
Senn's Elm Tree-house, the three decide to experiment
with linear equations. The objective is to end up at the
Rose Bush at the same time. Senn still averages 5 feet per
minute. How much of a head start does he need to give
each of his friends in order for their function rules to
intersect at 92 feet (the rose bush). What is the equation
for each bug which makes their experiment successful?
Create a table and graph representing the situation.
Answer: Please find the attached file for the graph and find the answer in the explanation
Step-by-step explanation:
Let first calculate the normal time each of them will reach the 92 feet distance.
For senn
Time = 92/5 = 18.4 minutes
That means in 18.4 minutes the two other friends must reach the point at 92 feet.
Calculate the distance at the time for each of the friends.
For Ms Lady
Time = 92/4 = 23 minutes
Distance = speed × time
Distance = 4 × 18.4 = 73.9
92 - 73.6 = 18.4 feet
For Ms Beetle
Time = 92/2.5 = 36.8 minutes
Distance = 2.5 × 18.4
Distance = 46 feet
92 - 46 = 48 feet
Therefore, Senn must give a head start of 18.4 feet for Ms Lady
And 48 feet for Ms Beetle in order for their function rules to intersect at 92 feet (the rose bush).
Their equation will be
Ms Lady
Y = 4x + 18.4
Ms Beetle
Y = 2.5x + 48
Ms Senn
Y = 5x
Answer:
Chips are good!
Step-by-step explanation:
Find the decimal that is equivalent to: 4/11
Answer:
0.3636 repeating
Step-by-step explanation:
When you divide them, it is 0.36363636 going on forever.
6. Ashley has 1 2/3 yards of fabric. She uses 1 1/2 yards of fabric to make a dress. After Ashley makes her dress, how much fabric does she have left?
Round 3,760 to the nearest hundred.
Answer:
3,800
Step-by-step explanation:
Rounding something means going up or down basically. To the nearest hundred means rounding up or down until the number is exactly 100, 200, 300, etc.. If it's 50 or higher it'll always be rounded up. so 760 is rounded to 800 as "60" is higher than "50."
Hope this helps and have a nice day!
Answer:
3,800
I hope this helps!
Josiah bought 22 chicken wings for $26.40. How much would it cost for 9 wings?
Answer:
it would cost $10.8 for 9 chicken wings.
Step-by-step explanation:
Cost of 22 chicken wings = $26.40
we have to find first, cost of 1 chicken wings
For that we divide both side by 22
cost of 22/22 chicken wings = $26.40/22 = 1.2
Thus, cost of 1 chicken wings = $1.2
to fins cost of 9 chicken wings
we multiply both sides by 9
cost of 1*9 chicken wings = $1.2*9
cost of 9 chicken wings = $10.8
Thus, it would cost $10.8 for 9 chicken wings.
the answer to your question is 10.8
During a science experiment, Daniel noted the starting
temperature of a -4°F. At the end of the experiment, the
change in temperature was -5°F. What was the final
temperature?
A.-1 B.1 C.9 D.-9
Answer: D. - 9
Step-by-step explanation:
Give the following :
Starting temperature = - 4°F
At the end of the experiment, the change in temperature was -5°F
What was the final temperature?
Taking the difference of the starting temperature and the final temperature should give the change in temperature over the course of the experiment.
Δtemperature = (final temperature - initial temperature)
Δtemperature = - 5°F
Initial /starting temperature = - 4°F
Hence,
-5 = final temperature - (-4)
-5 = final temperature + 4
Final temperature = - 5 - 4
Final temperature = - 9