Answer:
(x + 8)² = 36
Step-by-step explanation:
When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.
x² + 16x + 28 = 0
x² + 16x + 28 - 28 = 0 -28
x² + 16x = -28
Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.
x² + 16x + 64 = -28 + 64
x² + 16x + 64 = 36
Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.
(x + 8)² = 36
Henry can run 12 laps in 30 minutes. How long will it take him to run 16 laps.
Answer:
40 minutes
Step-by-step explanation:
30 minutes ÷ 12 laps = 2.5 minutes per lap
2.5 minutes per lap * 16 laps = 40 minutes
What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?
Answer:
The slope is undefined
Step-by-step explanation:
Slope (m) = infinity (undefined)
θ = π = 90°
2
distance (d) = 2
ΔX = 0
ΔY = 2
A cement path consists of six equal-sized cement squares arranged in a row to form a rectangle. If the total area of the path is 96 square feet, what is the length in feet of the path?
Answer:
24 feet
Step-by-step explanation:
Given that:
The length of the rectangle is 6 times the side of a cement square.
Now, this rectangle is formed from 6 squares;
The total area of the path of this square = 96 square feet;
The area of each square now = 96/6 = 16 square feet
Recall that:
Area of a square = S²
where S is the side length
16 = S²
S = [tex]\sqrt{16}[/tex]
S = 4 ft
The length of the path in feet now is: L × w
= 6 × 4
= 24 feet.
A
B
C
Neither of them
The best bagel company bakes 1,872.they put a bakers dozen ,or 13 bagels, into each bag. How many bags do they fill
Answer:
144
Step-by-step explanation:
1872 divided into bags with 13 each is
1872/13= 144 bags to fill
Do 24(0x+0.33333333)=3x+17 have a solution
Answer:
x≈-3
Step-by-step explanation:
Go and ask the person who gave u the brain
Evaluate the exponential expression using the order of operations.
(6+3)4
Answer:
36.
Step-by-step explanation:
6 plus 3 is 9 and 9 times 4 is 36, hope this helps.
please answer correctly
will mark brainlest 1hour to complete
Answer:
its (0, 0) because the line goes through thex and y intercept
Answer:
2, 0.15
Step-by-step explanation:
8 increased by the sum of t and 3
Answer:
8+(t+3)
Step-by-step explanation:
the sum is when you add two numbers together. so you would add t with 3 and out it in parentheses so you make sure that happens first. then you add it to 8 since 8 is being increased by the sum.
0.5 in simplest form
Answer:
all e
3 works hope it helped
ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
Answer:
y = -1/4x - 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points from the graph.
Point (-4, -5)
y-intercept (0, -6)
Step 2: Find slope m
Substitute: [tex]m=\frac{-6+5}{0+4}[/tex]Add: [tex]m=\frac{-1}{4}[/tex]Step 3: Write linear function
y = -1/4x - 6
At the same time a 15-foot pole casts a 7.5-foot shadow; a nearby tree casts a 24-foot
shadow. How tall is the tree?
Answer:
12-foot shadow
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
sorry if im wrong
Joe goes to the store to buy milk that cost x + $3, bread that cost x + $2.25, and 3 bags of potato chips that cost x + $1.50 each. Write an equivalent expression to represent what he spent.
Given:
Milk cost = x + $3,
Bread cost = x + $2.25,
3 bags of potato chips cost = x + $1.50 each.
To find:
The equivalent expression to represent what he spent.
Solution:
1 bag of potato chips cost = x + $1.50
3 bag of potato chips cost = 3(x + $1.50).
Total cost = Milk cost + Bread cost + Cost of 3 bags of potato chips
[tex]\text{Total cost}=(x+\$3)+(x+\$2.25)+3(x+\$1.50)[/tex]
[tex]\text{Total cost}=x+\$3+x+\$2.25+3x+\$4.50[/tex]
[tex]\text{Total cost}=(x+x+3x)+\$(3+2.25+4.50)[/tex]
[tex]\text{Total cost}=5x+\$9.75[/tex]
Therefore, the required expression is 5x+$9.75.
Which of the following equations represents a line that passes through the points (−6,0) and (2,−4)
Answer: only 2 (y = -1/2x - 3)
Step-by-step explanation: so first find the gradient by doing y minus x and dividing
-4-0/2--6 which equals -1/2 so you know that -1/2 is your gradient. 2 is the only one with a gradient of -1/2x.
Hope this made sense. If not I'll explain again
a car travels 15 miles in 15 minutes how many miles does it travel in 2 hours
Answer:
120 miles in 2 hour
Step-by-step explanation:
One hour has 4 times 15 minutes, so you need to do 15 miles x 4 and that time 2 because its 2 hours.
A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.
Answer:
8p=c
Step-by-step explanation:
The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c
9. Three minutes after a hot tub starts to fill, the tub contains 24
gallons of water. After 5 minutes the tub contains 40 gallons of water.
The relationship between the number the number of gallons in the hot
tub and the time in minutes is a proportional linear relationship.
Determine the number of gallons of water the tub increases per minute.
Answer:
8 gallons per minute
Step-by-step explanation:
24 gallons in 3 minutes
you divide 24 by 3 which is 8
40 gallons in 5 minutes
you divide 40 by 5 which is 8
the relationship is that in both the answer was 8 as in 8 gallons per minute
Which expression is equivalent to 6x6 + 12x + 5 ?
A.(2x+1)(3x+5)
B.(2x+5)(3x-1)
C.(2x-1)(3x-5
D.(2x-5)(3x-1)
Answer:
Step-by-step explanation:
None of these are correct. Is the equation 6x^6+12x+5 correct?
-3y + 12 = -8x
anyone know how to do this. I need it in y=mx+b and Ax+By=C
slope intercept form and standard form
Will give brainliest if I can.
Answer:
x=5
y=-5
Step-by-step explanation:
What is this equation in slope-intercept form, 5х – бу = -15?
Answer:
y = 5/6x + 5/2
Step-by-step explanation:
Mr Chin bought 3.8 kg of candy, nearest to
100g. What is the least amount of candy in the
bag to nearest kilogram.
5 into 3 by 8 + 3 into 2 by 5
Answer:
30
5 X 3 ÷ 8 + 3 X 2/5
= 15/11 X 2/5
(Take LCM of 5 and 11. LCM - 55)
15 X 5. 75
_____ =. ___
11 X 5. 55
2 X 11. 22
_____ =. ___
5 X 11 55
75 X 25. 1650
______ = ______
55. 55
= 30
Find the airthmetic mean of prime numbers between 20 and 50
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Prime numbers between 20 and 50 are :
[tex]23 \: , \: 29 \: , \: 31 \: , \: 37 \: , \: 41 \: , \: 43 \: , \: 47[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Arithmetic mean is :
[tex] \frac{23 + 29 + 31 + 37 + 41 + 43 + 47}{7} = \frac{251}{7} = 35.857 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
23 , 29 , 31 , 37 , 41 , 43 , 47
2.
Turkey for sandwiches costs $7.75 per pound. What equation best represents
y, the total cost of x pounds of turkey?
a. X = 7.75 + y
b. X = 7.75y
C. Y = 7.75 + x
d. Y = 7.75x
.
Choose the correct answer to 318 x 6.
1,808
1,906
1,918
1,908
Answer:
1,908
Step-by-step explanation:
I need help with this equation
Step-by-step explanation:
whats the equation lol
Answer:
What equation......
Step-by-step explanation:
IDG
1)50% of 60 2) 8 out of 80 is what percent?
Answer:)
1) 50% of 60 is 30
2) 8 out of 80 is 10%
You're welcome :)
Answer:1. 30
2. 10%
Step-by-step explanation:
1. How are polynomials added and subtracted?
2. Write the expression 81^2-80^2 using a difference of squares pattern. What is the solution?
3. What is the common denominator of (ab)/c + (xy)/z?
Answer:
3: cz
Step-by-step explanation:
Answer:
1.) Polynomials are added or subtracted by changing the signs (when needed) and adding/subtracting like terms
2.)161
3.)cz
Step-by-step explanation:
2.) 81^2-80^2
(81+80)(81-80)
161x1
161
3.)ab/c + xy/z = abxy/cz thus, the common denominator is cz
Hope this helps, hope your call goes well :)
Given: 4d=1/3(c-d) Proof= c=13d
Proof:
Multiply both of the sides by 3. You would get 12d = c - d. Add d on both sides, and you would get c = 12d
Here, we are required to proof c = 13d from 4d=1/3(c-d)
Ultimately, c = 13d (proof)
We have;
4d=1/3(c-d)Cross product
4d × 3 = c - d
therefore, By collecting like terms;
C = 12d +d
and Ultimately, c = 13d ......
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https://brainly.com/question/21406377