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Work Shown:
old side length = 2x
new side length = 2*(old side length) = 2*2x = 4x
For any cube, the length, width and height are all the same. So L = W = H.
volume = L*W*H
volume = L*L*L
volume = L^3
volume = (4x)^3
volume = 4^3*x^3
volume = 64x^3
The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.
Answer:
The shorter side is 6.
The perimeter is 26.4 inches.
The area is 43.2 inches[tex]^{2}[/tex]
Step-by-step explanation:
The ratio 5;6 and the given longer side is 7.2 in.
Since it is the longer side, the '6' in the ratio is 7.2 in.
Let x be the shorter side
5:6 = x : 7,2
Divide 7.2 to 6.
7.2 ÷ 6 = 1.2
Then multiply 1.2 to 5.
1.2 * 5 = 6
So the shorter side is 6.
L = 7.2
W = 6
Now to find the perimeter, let's use the formula
P = 2L + 2W
Let's put the values in the formula
P = 2(7.2) + 2(6)
P = 14. 4 + 12
P = 26.4
The perimeter is 26.4 inches
To find the area, let's use the formula
A = LW
A = (7.2)(6)
A = 43. 2 inches[tex]^{2}[/tex]
Answer:
shorter side= 6
p= 26.4
a= 43.2
Step-by-step explanation:
Use the information given to enter an equation in standard form.
(−1, 1) and (0, 2) .
First find the slope:
m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1
Set up slope-intercept form:
y = 1·x +2
Now move x and y to the left and leave 2 on the right:
-x + y = 2
This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.
Answer:
Standard form: x - y = -2
Step-by-step explanation:
The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the two points, we must first solve for the value of the slope.
Let (x₁, y₁) = (-1, 1)
(x₂, y₂) = (0, 2)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 1)/[0 - (-1)]
m = 1/(0 + 1) = 1
Therefore, the value of the slope, m = 1.
Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:
y = mx + b
y = x + 2
Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:
y = x + 2
Subtract x from both sides:
- x + y = x - x + 2
-x + y = 2
Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:
(-1) (-x + y) = 2(-1)
x - y = -2 ⇒ This is the standard form where A = 1, B = -1, and C = -2
does the equation have roots? if yes, find them.
x^2=32
Answer:
[tex]x=\pm 4\sqrt2[/tex]
Step-by-step explanation:
Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)
Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)
[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]
Giving Brainliest
How does the standard of living in North Africa compare to the rest of the world?
A Life expectancy and the standard of living are about average
B. Life expectancy and the standard of living are among the best in the world
C. Life expectancy and the standard of living are slightly lower than average
D. Life expectancy and the standard of living are among the worst in the world
Answer:
B is the answer I'm pretty sure
pls help will mark as brainlist
A has 12 sides B is 5 sides
Step-by-step explanation:
Answer:
A. 12 B. 5
Step-by-step explanation:
First we will do B.
Interior is 108 degrees Lets make an equation, 108={(n-2)*180}/n
Let's simplify
Now we have 108n=180n-360
180n-108n=360
Now we have 72n=360
n=5.
Now time for the first one.
150={(n-2)*180}/n
150=180n-360
180n-150n=360
30n=360
n=12
ANSWER FOR BRAINLIEST
Identify the graph for the point C(−2, −1, 2) in three-dimensional space.
Answer:
It's the third one,
Step-by-step explanation:
the only one with the dot in the negatives
What to do after combining terms?
Answer: I might be wrong but...
x = 2 1/3
Step-by-step explanation:
1 1/4x + 3 = 4 3/4 + 1/2x
- 1/2x -1/2x
3/4x + 3 = 4 3/4
- 3 - 3
3/4x = 1 3/4
3/4x / 3/4 = 7/4 / 3/4
x = 2 1/3
Please solve this math problem... I will mark you brainliest
Answer:
Step-by-step explanation:
Faz a continha de 86496÷6 pra hoje pfvr
Answer:
14416
Step-by-step explanation:
youre welcome
Answer:
14416
Step-by-step explanation:
check the steps for answers
please answer this box for me i need a lot of help
Answer: 12
Step-by-step explanation: the denominator is the bottom number, so 6 and 4. The smallest number they BOTH have in common is 12. Hope this helps :)
Answer:
The least common denominator would be 12.
Step-by-step explanation:
Because if you look at each row of multiples, 12 is the smallest number that they both have in common.
See for your self:⤵⤵⤵
1/6 ➡ 6 12 18 24 30
3/4 ➡ 4 8 12 16 20
Hope this helps :)
I need help with 12 please
The show gave a 10% discount for students. The full ticket price is $30. How much was the students price?
Answer:
$27
Step-by-step explanation:
You can get the equation 30 - 30 * 1/10 = x, and x is what we are looking for. Simplifying gives 30 - 3, so x is 27. So, the answer is $27.
Answer:
$3
Step-by-step explanation: 10%= 0.10 divide that by 30, 30 ÷ 0.10 = 3
Can i please have help with qquestion brainliest for correct and best explained answer
Answer:
Y-intercept is at 1 and slope of the graph is 2
Step-by-step explanation:
When plotting this equation use the formula y=mx+b. The variable B is the y intercept its where you start your graph. The variable M is the slope and for that you use rise/run.
To graph 2 you would start at 1 because it's the int. And u would go up 2 and right 1 and just follow that pattern
Are the ratios 2:3 and 8:12 equivalent? Justify you answer.
Answer:Yes
Step-by-step explanation:You are multiplying the ratios by 4
6.0 x 10^6 in scientific notation
Answer:
6,000,000
Step-by-step explanation:
the amount of 0's you add is one less than the exponent listed (for example, the exponent here is 6, so add 5 0's)
Solve 2x^2 + 5x – 3 = 0
Answer:
Step-by-step explanation:
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?
Answer:
27x5=135
Step-by-step explanation:
Answer:
135$
Step-by-step explanation:
27x5 equals 135$
Would appreciate brainliest
Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?
Answer:
D
Step-by-step explanation:
Apply 1 as x, y = 3(1) - 2 is 1 and y = -2(1) + 3 is also 1, so the point is at (1, 1)
What equation represents a line which is perpendicular to the line y = -6/5 - 7?
Answer:
B. (top right) 6y - 5x = 18
Step-by-step explanation:
Is the equation of the given line
y = -6/5 x - 7?
The x is missing.
If so, then the slope of the given line is -6/5.
A perpendicular line has a slope that is the negative reciprocal of -6/5, so we need a slope of 5/6.
A.
6x - 5y = 30
-5y = -6x + 30
y = 6/5 x - 6
Here the slope is 6/5, so this is not it.
B.
6y - 5x = 18
6y = 5x + 18
y = 5/6 x + 3
This is it.
C.
6x + 5y = 20 has negative slope, so it is not it.
D.
5x + 6y = 42 has negative slope, so it is not it.
does anyone know how to view what answers you got correct on a post test for plato/ edmentum? please give detailed instructions
Answer:
Step-by-step explanation:
For Plato just press the + button to add an introduction or whatever.
I WILL GIVE BRAINLIEST!! PLS HELP
refer to attachments for the question
Step-by-step explanation:
We have:
PQ ≅ MN GivenQR ≅ RN GivenPR ≅ RM Definition of midpointAs per above three sides of one triangle are congruent to three sides of another triangle.
ΔPQR ≅ ΔMNR SSS (Side - side - side) congruenceIn ∆PQR and ∆MNR
PQ=MN
QR=RN
<Q=<M=90°
Hence by
Side angle side congruency
[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]
Proved
1/3(12-9y) distributive property
Answer:
4 - 3y
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]
= 4 - 3y
The simplification of 1/3(12-9y) using distributive property is 4 - 3y
What is distributive property?According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
For example, 2( x +y ) can be simplified as 2 × x + 2 × y
= 2x + 2y. This is distributive property.
Similarly, ⅓( 12- 9y) can be simplified as
(1/3 × 12) - (1/3 × 9y)
= 4 - 3y
Therefore 1/3(12-9y) is equivalent to 4 - 3y
learn more about distributive property from
https://brainly.com/question/2807928
#SPJ3
In the given figure, PQ 11 RS, find the value of x.
Answer:
73 degrees
Step-by-step explanation:
Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.
So, now just subtract 50 from 123 to get x.
WORTH 50 POINTS.
What is the domain of the function shown on the graph below?
7x3+1=22 divied by 2
Answer:
22/2=11 <-.-.-.-.-.-
The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the
function?
VX
O Locate the ordered pair (0, -6). From that point on the graph, move up 2. right 1 to locate the next ordered pain
the line. Draw a line through the two points.
O Locate the ordered pair (0.-6). From that point on the graph move up 2. left 1 to locate the next ordered pair
the line. Draw a line through the two points.
Locate the ordered pair (6.0). From that point on the graph, move up 2. right 1 to locate the next ordered pair
the line. Draw a line through the two points
Locate the ordered pair (6.0). From that point on the graph move up 2. left 1 to locate the next ordered pair on
the line. Draw a line through the two points
Save and Exit
Answer:
Locate (0,-6), move up 2, right 1
Step-by-step explanation:
Hi there!
To graph a linear function, we first locate the-intercept, then graph the next point according to the slope.
We're given that the y-intercept is -6. The y-intercept occurs when x=0, so therefore, the point (0,-6) falls on the line.
Locate (0,-6)
Now, to graph the next point, we look at the slope. The slope in this case is 2. This means every time the line travels to the right by 1 unit, it travels up 2 units.
Move up 2, right 1
I hope this helps!
Find all values of j for which the quadratic equation has one real solution.
3x² + 5x-j=0
Write your answer as an equality or inequality in terms of j.
Answer:
x = (-5+/- √(25 + 12j))/6
Step-by-step explanation:
The solution to this question requires the application of quadratic formula
soryy the last time i ask i forgot part b. a.The flywheel on a steam engine rotates 60 revolutions every 15 seconds. What is the flywheel's rate of revolutions per second?
b. The flywheel on a steam engine rotates 60 revolutions every 15 seconds. Identify the unit RATE.
Answer:
A is 4 revolutions per second
B is 4 as the unitrate since 4 it the amount of revolutions it is going per a second.
Step-by-step explanation:
pls brainliest.
BATTERY LIFE The battery life of a certain cell phone starts at 8 hours. The battery life decreases at an annual rate of 30%.
a. Write a function that represents the battery life y after x years.
Answer:
[tex]y=8(0.7)^x[/tex]
Step-by-step explanation:
Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..
For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.
Exponential form:
[tex]y=a(b)^x[/tex]
where a is the original value and b is the percent change.
In your question:
[tex]y=8(0.7)^x[/tex]
The function that represents the battery life y after x years is y = 8(0.7)ˣ.
What does exponential function ?A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.
Now it is given that,
Battery life starts = 8 hours
Annual decrease rate = 30% = 0.30
So, battery life after an year = 100% - 30% = 70% = 0.7
Now if battery life y after x years
Annual decrease rate after x years = (0.7)ˣ
Thus battery life, y = 8(0.7)ˣ
Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.
Learn more about exponential functions at
brainly.com/question/11464095
#SPJ2
I really need help on these 3 problems however helps me I just want to say god bless u and thanks for taking your time to answer my question #24, #28, # 29
Answer: how nice of you :) may god bless you too however You didn’t send the questions