Answer:
x =5
Step-by-step explanation:
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
Given the points A(2, x) , B(x, 8) and AB = 3√2
On substituting the given values into the formula;
AB = √(x-2)²+(8-x)²
3√2= √(x-2)²+(8-x)²
square both sides
(3√2)²= (x-2)²+(8-x)²
18 = (x-2)²+(8-x)²
expand
18 = x²-4x+4+64-16x+x²
18 = 2x²-20x+68
2x²-20x+68-18 = 0
2x²-20x+50 = 0
x²-10x+25 = 0
Factorize
x²-5x-5x+16 = 0
x(x-5)-5(x-5) = 0
(x-5)(x-5) = 0
x-5 = 0 an x-5 = 0
x = 5
Write 3/4 cup per 1/2 serving as a unit rate
Answer:
Unit rate = 1 1/2 cups per serving
Step-by-step explanation:
1/2 serving has 3/4 cup
1 serving
3/4 * 1/2 = 3/4 * 2/1 = 6/4 = 6/4 / 2 = 3/2 = 1 1/2
what is the soution to following equation: 1/2(x-10)=3/4(x+8)
Answer: x = -44
Step-by-step explanation:
1/2(x - 10) = [tex]\frac{3}{4}[/tex] (x+8) Apply the distributive property
1/2x - 5 = 3/4x + 6 Add 5 to both sides
+5 +5
1/2x = 3/4x + 11 Subtract 3/4x from both sides
-3/4x -3/4x
-1/4x = 11 Divide both sides by -1/4
x = -44
can someone help me with factoring by grouping please show step by step
problem: x^2+4x+3
Answer:
(x+3) ● (x+1)
Step-by-step explanation:
x^2 + 3x + x + 3
x ● (x+3) + x +3
(x+3) ● (x+1)
0.2(x + 3) - 4(2x - 3) = 3.4
Answer:
x= 1.¯17948¯¯
Explain:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
your answer is incorrect
Step-by-step explanation:
0.2 times (x+3) = 0.2x + .6
4(2x-3) = 4 x 2x + 4 x -3 = 4 x 2x + -7 = 6x + -7
0.2x + .6 - 6x + -7 = -5.8x + -7
because you cannot combine terms that are not alike, then your final answer would have to be -5.8x + -7 because you did not give us what x is equal to.
State the domain and range for the following relation.
{(-4,4), (1, 2), (0, 3), (3, 2)}
Answer:
Step-by-step explanation:
D= {-4,1,0,3}
R={4,2,3,2}
A bottle of maple syrup in Wayne’s freezer needs to be warmed for breakfast. Sitting on the kitchen counter, the bottle temperature will go up a steady 9.6° C every hour. If the bottle temperature begins at the freezer temperature of –16° C, how many hours will it take to reach 20° C?
Answer:
3.75 hours, hope this helps
2. Tom makes $50 a day, 5 days a week. If his rent every four weeks was $500, what is
his overall net profit?
Answer:
$500 net profit in 4 weeks
Step-by-step explanation:
+$50 a day, 5 days a week, -$500 every 4 weeks
1. solve for initial profit in 4 weeks
5 profitable day*4 weeks= 20 days Tom makes a profit
20 days*$50= $1000 in 20 days
2. subtract rent from initial profit
1000-500= $500
Which is the correct simplified version of the expression shown below
after combining like terms?
12 + 3.4x -5.4x - X
A. -3x + 12
B. 9x
C. 9.8x + 12
D. -2x + 12
Answer:
D. -2x+12
Step-by-step explanation:
you combine all values with x because they are like terms.
:) hope this helps
Answer:
-2x+12
D is the best answer.
Evaluate 2a + 4b if a =10 and b=6
Answer:
44
Step-by-step explanation:
w(x) = 2xsquare3 + 3x; Find w(3)
HOPE THIS IS THE ANSWER
David purchased 1.5 pounds of apples that cost 3.60 per pound. If he gave the cashier a twenty dollar bill, how much change would he receive?
HELLLP!! 10 POINTS OFFERED
Answer:
I hope this helps
Step-by-step explanation:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
Answer:
hi, if im right i believe it would be option 2
There is a 12.5% tax on items purchased in Arlington. What is the percent of the original price you will pay? Write your answer as a percent, decimal and fraction in the space below.
I have to pay 12.5% more than the original price.
The decimal representation is 0.125.
The fractional representation is 112.5/100.
What is the percentage?The percentage is the value per hundredth.
Given there is a 12.5% of tax on items purchased in Arlington.
Assuming the original price of a product is 100 dollars.
∴ The price of the product with 12.5% of tax is,
= (100 + 12.5)/(100)×100.
= 112.5 dollars.
∴ I have to pay 112.5 dollars for every 100dollar product.
So, the percentage of the original price that I have to pay is (112.5/100).
= 12.5%.
The decimal value of 12.5% is (12.5/100) = 0.125.
The fractional representation is 112.5/100.
learn more about percentage here :
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solve for c: c - 12 = 3
Steps to solve:
c - 12 = 3
~Add 12 to both sides
c = 15
Best of Luck!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{c = 15}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{c - 12 = 3}[/tex]
Move 12 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{c = 3 + 12}}[/tex]
Add the numbers: 3 and 12
[tex] \dashrightarrow{ \sf{c = 15}}[/tex]
Hope I helped!
Best regards! :D
find the midpoint of (1,7) and (9,0)
(5 ; 3.5)
Step-by-step explanation:midpoint formula
(x₁ + x₂)/2 ; (y₁ + y₂)/2
(1 + 9)/2 ; (7 + 0)/2
(10/2 ; 7/2)
(5 ; 3.5)
What is the answer to 4 - (-1)
Answer:
I think the answer is 5
Step-by-step explanation:
4 -(-1)
4+1
which will equal to 5
4 - (-1)
= 4 + 1
= 5
Answer: 5
y= 3/2 x -3 how do you do this on a graph
Please help with this question.
It’s an assignment that’s due at 11:30
Answer:205
Step-by-step explanation:
Whats 9+10?
A.21
B.14
C.19
D.(mL³)
Answer:
a. 21
Step-by-step explanation:
jk its c.19
Answer:c 19
Step-by-step explanation:
10. Plus 9 equals 19
Solve s3=1 square root
Answer:
If you are solving for s, the answer would be ⅓
Step-by-step explanation:
reason for this is as following.
1. you want to find the square root 1, which is one. because you get 1 by multiplying 1 and 1
2. Next, you want to decide each side by 3 making it s = ⅓
The polygons are similar solve for x
Answer:
x=12
Step-by-step explanation:
14/21=16/(x+12)
cross multiply
14(x+12)=16(21)
14x+168=336
14x=336-168
14x=168
x=12 (so the side would be x+12=24)
You could also see that 14 is 2/3 of 21, so 16 has to be 2/3 of x+12. That means x+12 would have to equal 24. If you take the 12 away from 24, x=12.
Solve |7x + 21| = 14x. Identify the solution and an extraneous solution.
Answer:
Step-by-step explanation:
solution: x=3;
extraneous solution: x=-1
The solution is 3 and the extraneous solution is -1.
What is the modulus function?The modulus function is the function which gives the magnitude or absolute of the number in the variable.
|x|=x if x>0
-x if x<0
0 if x=0
So according to question,
|7x+21|=14x
case-1: if 7x+21>0
⇒7x>-21
⇒x>-21/7
⇒x>-3
if 7x+21>0 , Using the modulus function property
|7x+21|=14x
⇒7x+21=14x
⇒14x-7x=21
⇒7x=21
⇒x=21/7
⇒x=3 which is also x>-3
x=3 is the solution
case-2: if 7x+21<0
⇒7x<-21
⇒x<-21/7
⇒x<-3
if 7x+21<0 , Using the modulus function property
|7x+21|=14x
⇒-(7x+21)=14x
⇒-7x-21=14x
⇒14x+7x=-21
⇒21x=-21
⇒x=-21/21
⇒x=-1 for which x<-3 is not true
x=-1 is an extraneous solution.
Therefore the solution is 3 and the extraneous solution is -1.
Learn more about the modulus function
here: https://brainly.com/question/26258141
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Represent the following sentence as an algebraic expression, where “a number” is the letter x. 1 less than a number
Answer:
x-1
Step-by-step explanation:
if "a number" is x, then one less than that would be subtracting one.
= x-1
Hope this helps!
ak-r=on, solve for k
Answer:
U need to copy and paste more of the question
Step-by-step explanation:
Start copy at the top go all the way to the bottem of the question and paste into brainly.
use ctrl c for copy and crtl v for paste
What is the value of the expression below when w
=
9 and x = 2?
W – 4x
Answer:
1
Step-by-step explanation:
we are given that: [tex]x = 2[/tex] and [tex]w = 9[/tex]
[tex]w - 4x \\9 - 4*2 \\9 - 8 \\1[/tex]
-2x + 10 = -2(x + 5)
Ox= 5
O = -5.
O infinitely many solutions
O no solution
Answer:
infinitely many solutions
Step-by-step explanation:
they both are the same expression just in different forms.
HELP I WILL MARK YOU BRAINLIEST A bag of flour contains 5 pounds of flour. A batch of cookies required 0.10 pounds of flour. How many batches can be made with the 5-pound bag?
Answer:
50 batches
Step-by-step explanation:
A bag of flour = 5 pounds of flour
A batch of cookies = 0.10 pounds of flour
How many batches can be made with the 5-pound bag?
Batch of cookies in 5 pounds of flour = Total pounds of flour / flour needed per batch of cookies
= 5 pounds / 0.10 pounds
= 50 batches of cookies
50 batches of cookies can be made with 5 pounds of flour
Answer : with one pound of pizza dough you can make one large pizza or two 10-inch pizzas.
so 15 Large pizzas or 30 10 in pizzas
Step-by-step explanation:
A students cost for last semester at her community was $2700. She spent $351 of that on books. What percent of last semesters college cost was spent on books?
Answer:
13%
Step-by-step explanation:
351/2700 = 0.13 0.13= 13%
The length of C. D. Akers rectangular garden is 37 feet shorter than six times the width. If the perimeter of
his garden is 164 feet, what are the dimensions of Mr. Akers' garden?
Answer:
17 feet by 65 feet
Step-by-step explanation:
If w represents the width of the garden, then 6w-37 is the length. The perimeter of a rectangle is twice the sum of length and width, so the perimeter is ...
164 = 2(w +(6w -37)) = 14w -74
238 = 14w
238/14 = w = 17
__
6w-37 = 6·17 -37 = 65
The width of the garden is 17 feet; the length is 65 feet.
1
If y=4x + 5,
What is y when Ox= 3, and ii) x= -3
When x= 3 then y= 17
When x = -3 then y = -7
