Answers
For this case we must write as a percentage the following expression:
[tex]\frac {21} {25}[/tex]
Dividing we have to:
[tex]\frac {21} {25} = 0.84[/tex]
Now we multiply by 100%. So:
[tex]0.84 * 100 =[/tex]
We run the decimal two spaces to the right, finally we have:
84%
Answer:
84%
[tex]\text{Hey there!}[/tex]
[tex]\text{Percentages usually run out of 100}[/tex]
[tex]\dfrac{21}{25}\ = \ 21\div25\ = \ 0.84[/tex]
[tex]\huge\text{Decimal form: 0.84}[/tex]
[tex]\text{Remember what I said, percentages run out 100. ( e.g. x * 100)}[/tex]
[tex]\text{0.84\% }\times\text{ 100 = 84\%}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: 84\%}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Related Questions
what is the value of x?
Answers
[tex]x^2=40^2+9^2\\x^2=1600+81\\x^2=1681\\x=\sqrt{1681}=41[/tex]
To solve this you must use Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 9
b = 40
c = x
^^^Plug these numbers into the theorem
[tex]9^{2} +40^{2} =x^{2}[/tex]
simplify
81 + 1600 = [tex]x^{2}[/tex]
1681 = [tex]x^{2}[/tex]
To remove the square from x take the square root of both sides to get you...
41 = x
Hope this helped!
~Just a girl in love with Shawn Mendes
What does x ^2 + y^2 = 9 mean? What about x ^2 + y ^2 = 0 ? Can a circle have a radius of − 3 ? Why or why not?
Answers
Answer:
See below.
Step-by-step explanation:
Compare our equation with one standard form of a circle:
x^2 + y^2 = r^2 where r = the radius.
So x^2 + y^2 = 9 is the equation of a circle with it's center at the origin and it's radius is 3 units.
x^2 + y^2 = 0 is not a circle because r = 0 ( a radius of 0). A circle of radius 0 is really a point!!
The value of the radius of a circle must be positive so it cannot have a radius of -3.
Answer
[tex]x ^{2} + {y}^{2} = r^{2} [/tex]
since all the terms are squared so there can be a negative number
but in number line
...... -4,-3,-2,-1,0,1,2,3.......
as we know negative sign indicates only the direction so -3 means in which coordinates will it lie.
.
.
.
[tex] {x}^{2} + {y}^{2} = 9[/tex]
it means the origin is (0,0) and radius 3
Find all the real cube roots of -343.
Answers
The Cube Root Of -343 is ( -7)
Answer:
Cube root of -343 is -7
Step-by-step explanation:
If we square a negative value it becomes positive as ² is an even number
eg: -7² = -7 × -7
= +49
But if we cube it is the value becomes negative as ³ is an odd number
eg: -7³ = -7 × -7 × -7
= -343
Hope it helps u ...
What is the equation of the line that is parallel to 8x-5y=2 and goes through the point (-5,-2)
Answers
Answer:
8x - 5y = - 30
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 8x - 5y = 2 into this form
Subtract 8x from both sides
- 5y = - 8x + 2 ( divide all terms by - 5 )
y = [tex]\frac{8}{5}[/tex] x - [tex]\frac{2}{5}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{8}{5}[/tex]
• Parallel lines have equal slopes, hence
y = [tex]\frac{8}{5}[/tex] x + c ← is the partial equation of the parallel line
To find c substitute (- 5, - 2) into the partial equation
- 2 = - 8 + c ⇒ c = - 2 + 8 = 6
y = [tex]\frac{8}{5}[/tex] x + 6 ← in slope- intercept form
Multiply through by 5
5y = 8x + 30 ( subtract 5y from both sides )
0 = 8x - 5y + 30 ( subtract 30 from both sides )
8x - 5y = - 30 ← in standard form
Plzzz help ASAP
Plz give answers
Answers
Answer:
4
Step-by-step explanation:
-5x/6=-10/3
or..5x/6=10/3
or..X/2=2
so X=4
Answer:
x = 4
Step-by-step explanation:
note that - [tex]\frac{5}{6}[/tex] x = [tex]\frac{-5x}{6}[/tex], hence
[tex]\frac{-5x}{6}[/tex] = [tex]\frac{-10}{3}[/tex] ( cross- multiply )
- 15x = - 60 ( divide both sides by - 15 )
x = [tex]\frac{-60}{-15}[/tex] = 4, that is
x = 4
(4x – 12) + (–x + 7)
Answers
Answer:
3x -5
Step-by-step explanation:
(4x – 12) + (–x + 7)
= 4x – 12 –x + 7
= 3x -5 (answer)
Answer:
3x-5
Step-by-step explanation:
(4x – 12) + (–x + 7)
Open the parenthesis
=4x-12-x+7
Solve the like terms:
=3x-5
The answer is 3x-5
Using the slope and the y-intercept graph the line represents by the following equation then select the correct graph 2y + 4 =0
Answers
Answer:
Step-by-step explanation:
2y + 4 = 0 subtract 4 from both sides
2y = -4 divide both sides by 2
y = -2
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept → (0, b)
In the equation
y = -2
slope: m = 0
y-intercept: b = -2 → (0, -2)
y = -2 - it's a horizontal line
Which graph is the solution to lxl > 10?
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Note}\rightarrow[/tex] [tex]\leq \& \geq \ = \huge\text{closed circle}\\ < \& > = \huge\text{(o)(p)(e)(n)(e)(d) circle}[/tex]
[tex]\huge\text{So, we know that A or C could be our answer}.[/tex]
[tex]\huge\text{Eliminate option B and D}[/tex]
→ [tex]\huge\text{Find the absolute value of the problem}[/tex]
→ [tex]\huge\text{You can now know that it could be:}[/tex]
[tex]\huge\text{x}\large\huge{\ >}\huge\text{ 10 or x }< \huge\text{ -10}[/tex]
→ [tex]\huge\text{Possible answer \#1: x }>\huge\text{10}\\\\\huge\text{Possible answer \#2: x}<\huge\text{ -10}[/tex]
→ [tex]\boxed{\boxed{\huge\text{Answer: C}}}[/tex]
[tex]\huge\text{Option A. would be too small}[/tex] [tex]\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
What is the value of f(x) = 9x when x = -2? A. 1 81 B. 81 C. 1 18 D. 18
Answers
Answer:
Step-by-step explanation:
The correct answer would be -18
To solve this, you would substitute x with the x value, which in this case is -2
That would make it so f(x)= 9(-2)
9*-2=-18
Therefore f(x)=-18
Note that f(x) is another way to write y, therefore...
y = 9x
To solve for this plug -2 in for x in this equation like so...
y = 9 * -2
When a positive number is being multiplied with a negative number the answer will be negative.
y = -18
C. is the answer (assuming that you meant to write -18 instead of 1 18)
Hope this helped!
~Just a girl in love with Shawn Mendes
Find the probability of each event. There are 4 red marbles, 2 black marbles, and 2 green marbles in a box. P(red) = P ( red or black) =
Answers
Answer: P(red): 1/2
P(red or black):3/4
Step-by-step explanation: Count the total number of marbles. There are 8. Since there are 4 red marbles out of the 8, put this into a fraction. It will be 4/8, but simplify to 1/2. The P(red) is 1/2.
Since there are 4 red marbles and 2 black marbles, add them. There are 6 out of the 8 marbles. The fraction is 6/8 simplify to 3/4. The P(red or black) is 3/4.
The probability of choosing a red marble from the box is 0.5 and the probability for choosing either a red or black marble is 0.75.
Explanation:The subject of this question refers to calculating probabilities which is a concept in Mathematics, specifically in the scope of Statistics. To calculate the probability of an event, we need to know the total amount of outcomes and the amount of favorable outcomes. In the context of the question, these outcomes are represented by marbles.
First, we need to add the total number of marbles, which is 4 red + 2 black + 2 green = 8 marbles in total.
To find the probability of picking a red marble, we divide the number of red marbles by the total number of marbles. Hence, P(red) = 4/8 or 0.5.
To find the probability of picking a red or black marble, we add the number of red and black marbles and divide by the total number of marbles. Hence, P (red or black) = (4 red + 2 black) / 8 total = 6/8 or 0.75.
Learn more about Probability here:https://brainly.com/question/22962752
#SPJ2
Which graph is correct?
Answers
There are many ways to see it. First is the dotted and solid lines
The dotted lines mean that it doesn’t include the answer while the dotted line says it does.
When something is greater it’s going to be shaded on top of the line and when something is less it’s going to be shaded below the line
Mary, Chau, and David have a total of $87 i their wallets. Marry has 9$ more than Chau. David has two times what Mary has. How much do they have in each wallet?
Answers
Answer:
Mary = 24
Chau = 15
David = 48
Step-by-step explanation:
The formula is
Mary + Chau + David = 87
And we know that
Chau = Mary - 9
David = Mary * 2
So when we fill this in
Mary + Mary - 9 + Mary * 2 = 87
4Mary - 9 = 87
4Mary = 96
Mary = 24
Chau = Mary - 9 = 15
David = Mary * 2 = 48
Final answer:
The problem is solved using basic algebra, yielding Chau has $15, Mary has $24, and David has $48, all adding up to the total amount of $87.
Explanation:
The question involves a three-person word problem focusing on algebraic relationships and equation solving. Mary, Chau, and David have a total of $87 in their wallets. Mary has $9 more than Chau, and David has twice what Mary has. To find out how much each person has, we'll let 'c' represent the amount that Chau has.
Accordingly, Mary has c + $9, and David has 2(c + $9). Together, they have a total of c + (c + $9) + 2(c + $9) = $87. Simplifying this, we get 4c + $27 = $87. Subtracting $27 from both sides gives us 4c = $60. Dividing both sides by 4, we find that Chau has $15.
Now, since Mary has $9 more than Chau, Mary has $24 ($15 + $9). David, having twice what Mary has, possesses $48 (2 x $24). These amounts add up to the total of $87.
If a cone has the same radius and height as a cylinder, the volume of the cone is (one fourth, one third, half, or two thirds) the volume of the cylinder. If a cylinder and a sphere have the same radius and the cylinder’s height is twice its radius, then the volume of the sphere is (one fourth, one third, half, or two thirds) the volume of the cylinder.
Answers
The volume of the cone is one third of the volume of the cylinder when they have the same radius and height.
The volume of the sphere is two thirds the volume of the cylinder when the sphere and the cylinder have the same radius and the height of the cylinder is twice its radius.
If a cone has the same radius (r) and height (h) as a cylinder, then the volume of the cone is one third the volume of the cylinder.
This can be determined using the formula for the volume of a cone, which is V = (1/3)πr²h, compared to the volume of a cylinder, which is V = πr²h. Since we have the same 'r' and 'h' for both, the cone's volume will be one third of the cylinder's.
Similarly, if a cylinder and a sphere have the same radius and the cylinder’s height is twice its radius, we can say h = 2r. Thus, the volume of the sphere is calculated to be V = (4/3)πr³.
On the other hand, the cylinder's volume with h=2r would be V = πr²(2r) = 2πr³. The sphere's volume is two thirds of the cylinder's volume, because (4/3)πr³ is two thirds of 2πr³.
1.
From a total yearly budget of
$360,000, the Kimball Foundation
spends $30,000 on leasing office
space. What is the ratio of dollars
spent on office space to dollars spent
on other costs?
A. 12:1
B. 11:1
C
Answers
Answer:
I think it would be 11:1.
Step-by-step explanation:
360,000 / 30,000 = 12
11/12 of the yearly budget was used on other costs
1/12 of the yearly budget was used for leasing office
space.
Answer:
Step-by-step explanation:
Okay so I may be wrong BUT since it's asking for the other costs, I'm assuming we're subtracting the $30,000 from the $360,000 first. Therefore the original ratio would be 30,000: 330,000 which is simplified to 1:11 ($ on office space: $ on other costs)
Round off 600341 to the nearest a) tens b) hundreds c) thousands
Answers
a) 600340
b) 600300
c) 600000
can someone plz help me with this!
Answers
Answer:
(arranged from top to bottom)
System #3, where x=6
System #1, where x=4
System #7, where x=3
System #5, where x=2
System #2, where x=1
Step-by-step explanation:
System #1: x=4
[tex]2x+y=10\\x-3y=-2[/tex]
To solve, start by isolating your first equation for y.
[tex]2x+y=10\\y=-2x+10[/tex]
Now, plug this value of y into your second equation.
[tex]x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4[/tex]
System #2: x=1
[tex]x+2y=5\\2x+y=4[/tex]
Isolate your second equation for y.
[tex]2x+y=4\\y=-2x+4[/tex]
Plug this value of y into your first equation.
[tex]x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1[/tex]
System #3: x=6
[tex]5x+y=33\\x=18-4y[/tex]
Isolate your first equation for y.
[tex]5x+y=33\\y=-5x+33[/tex]
Plug this value of y into your second equation.
[tex]x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6[/tex]
System #4: all real numbers (not included in your diagram)
[tex]y=13-2x\\8x+4y=52[/tex]
Plug your value of y into your second equation.
[tex]8x+4(13-2x)=52\\8x+52-8x=52\\0=0[/tex]
all real numbers are solutions
System #5: x=2
[tex]x+3y=5\\6x-y=11[/tex]
Isolate your second equation for y.
[tex]6x-y=11\\-y=-6x+11\\y=6x-11[/tex]
Plug in your value of y to your first equation.
[tex]x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2[/tex]
System #6: no solution (not included in your diagram)
[tex]2x+y=10\\-6x-3y=-2[/tex]
Isolate your first equation for y.
[tex]2x+y=10\\y=-2x+10[/tex]
Plug your value of y into your second equation.
[tex]-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2[/tex]
no solution
System #7: x=3
[tex]y=10+x\\2x+3y=45[/tex]
Plug your value of y into your second equation.
[tex]2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3[/tex]
a classroom is 19 ft long 2 ft wide and 10 feet high find the number of cubic feet of air in the room
Answers
Answer:
380 cubic feet of air
Step-by-step explanation:
Volume = height * width * length.
So
Volume = 10 * 2 * 19 = 380 cubic feet of air
Answer:
[tex]380\text{ ft}^3[/tex]
Step-by-step explanation:
We have been that a classroom is 19 ft long 2 ft wide and 10 feet high. We are asked to find the number of cubic feet of air in the room.
To find the number of cubic feet of air in the room, we will find the volume of the given room by multiplying all of its side as:
[tex]\text{Volume of the room}=\text{19 ft}\times \text{2 ft}\times\text{10 ft}[/tex]
[tex]\text{Volume of the room}=380\text{ ft}^3[/tex]
Therefore, there are 380 cubic feet of air in the room.
f(x)=squarerootof(x−3), what is f(12)?
Answers
f(12)= square root of(12-3)
f(12)=square root of 9
f(12)=3
Answer:
3
Step-by-step explanation:
[tex]f(12) = \sqrt{12-3}=\sqrt{9} = 3[/tex]
I have a right triangle. The hypotenuse is 12. The base is 7 and the other side is 9.7. The sin(x) is 0.014. Cos(x) is 0.99 and tan(x) is 0.02. What is the measure of angle x?
Answers
Answer:
[tex]\sin(x)=\frac{\sqrt{95}}{12}=0.8122[/tex]
[tex]\cos(x)=\frac{7}{12} \approx .5833[/tex]
[tex]\tan(x)=\frac{\sqrt{95}}{7} \approx 1.3924[/tex]
[tex]x=\sin^{-1}(\frac{\sqrt{95}}{12}) \approx 54.3147[/tex] degrees.
I don't know what you want to round to but I can tell you are rounding...
Step-by-step explanation:
Soh Cah Toa is the acronym we will use to help us solve this.
This says sine is opposite over hypotenuse.
It also says cosine is adjacent over hypotenuse.
And finally tangent is opposite over adjacent.
Note: Opposite and adjacent can change depending on how you are looking at the triangle, like which angle you are referring to.
Let's look at x:
The side that is opposite, not touching, the angle whose measurement is x, is the side that has measurement [tex]\sqrt{95} \approx 9.7[/tex].
I see you already found this measurement. This is really good. I might use the exact value for now and round at the end.
The side that is the hypotenuse no matter the angle you are referencing is always going to be opposite the angle whose measurement is 90 degrees. It is also the longest side (since it is opposite the largest angle). This side has measurement 12.
The hypotenuse will be one of the sides touching your angle you are referencing. The other side that is touching your angle is the adjacent side. This side has measurement 7.
Anyways let's plug into the definitions we had above:
[tex]\sin(x)=\frac{\sqrt{95}}{12}[/tex] (O/H)
[tex]\cos(x)=\frac{7}{12}[/tex] (A/H)
[tex]\tan(x)=\frac{\sqrt{95}}{7}[/tex] (O/A)
Now we can solve anyone of these for x.
Take your pick.
[tex]\sin(x)=\frac{\sqrt{95}}{12}[/tex]
[tex]x=\sin^{-1}(\frac{\sqrt{95}}{12})[/tex]
[tex]x=54.3147[/tex] degrees.
Please Help........................................................
Answers
[tex]2(n-5)\geq2n+10\\2n-10\geq2n+10\\-10\geq 10\\n\in\emptyset[/tex]
Find the slope of the vertical line that passes through (2,-4)
Answers
Answer:
x=2
Step-by-step explanation:
Vertical lines have the same x value all the time. It is of the form x=
Their slope is undefined
The line passes through the point (2,4) and the x value is 2
x=2
Examine the steps used to solve the equation.
12.5x − 10.2 = 3(2.5x + 4.2) - 6
12.5x − 10.2 = 7.5x + 12.6 − 6
12.5x − 10.2 = 7.5x + 6.6
12.5x = 7.5x + 16.8 4. 5x = 16.8
5. x = 3.36
Analyze the steps to determine which properties or procedures were used to complete each step
Answers
Answer:
see below
Step-by-step explanation:
12.5x − 10.2 = 3(2.5x + 4.2) - 6
Use the distributive property to distribute the 3
12.5x − 10.2 = 7.5x + 12.6 − 6
Combine like terms
12.5x − 10.2 = 7.5x + 6.6
Add 10.2 to each side of the equation by using the addition property of equality
12.5x = 7.5x + 16.8
Subtraction 7.5x from each side of the equation by using the subtraction property of equality
5x = 16.8
Divide by 5 on each side by using the division property of equality
x = 3.36
Answer:
Step 1:
✔ distributive property
Step 2:
✔ combining like terms
Step 3:
✔ addition property of equality
Step 4:
✔ subtraction property of equality
Step 5:
✔ division property of equality
Step-by-step explanation:
Just did the assignment.
Fuel economy estimates for automobilos built in a certain yoar predicted a mean of 26.8 mpg and a standard deviation of 72 mpg for highway driving. Assume that a normal distribution can be applied. Within what
range are 99.8% of the automobiles?
Answers
Answer:
range=u ± 3.09 sd
Step-by-step explanation:
Given:
mean, u= 26.8 mpg
standard deviation, sd=72 mpg
% contained in interval = 99.8%
the interval for 99.8% of the values of a normal distribution is given by
mean ± 3.09 standard deviation= u ± 3.09 sd
=26.8 ± 3.09(72)
=26.8 ± 222.48
= 249.28 , -195.68
range=u ± 3.09 sd = 249.28 , -195.68 !
The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.
"All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid."
As of today, Susan's movie is currently five days late. She knows that if she doesn't get the movie back tonight, she will be charged $9.99, the purchase price of the movie, plus five days' worth of late fees. A round trip cab ride to the video store will cost about $10.
Which of the following statements is true?
a.
Taking a cab to return the movie is the cheapest action. Susan should call a cab.
b.
It would cost about the same to keep or return the movie. Susan should keep it.
c.
Keeping the movie and paying the purchase price and late fees is the cheapest option.
d.
If Susan returns the movie, she should not have to pay late fees. She should return it.
Answers
Answer:
option B
Step-by-step explanation:
Given:
per day late costs= 1.50
Purchase price= 9.99
A round trip cab ride to the video store will cost = 10
5 day late cost= 5(1.50)
= 7.50
Payment after 5 day late= 5 day late cost + Purchase price
= 7.50 + 9.99
= 17.49
If she gets a cab, then total payment= 10 + 7.50
= 17.50
Hence both costs almost the same, option B is true
b.
It would cost about the same to keep or return the movie. Susan should keep it!
how do you convert 17 1/6 to a 3 decimal place
Answers
Answer:
17.167 rounded
Step-by-step explanation:
17+(1/6)
17+0,166
17.167
well, firstly convert the mixed fraction to improper fraction, and then simply divide the numerator by the denominator and round as needed.
[tex]\bf \stackrel{mixed}{17\frac{1}{6}}\implies \cfrac{17\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{103}{6}}~\hfill \stackrel{\textit{to a decimal}~\hfill }{103\div 6 = 17.166\overline{6}}\implies \stackrel{\textit{rounded up}}{17.167}[/tex]
Suppose you buy a CD for $500 that earns 2.5% APR and is compounded quarterly. The CD matures in 3 years. How much will this CD be worth at maturity?
Answers
Answer:
A=$538.82
Step-by-step explanation:
We're going to use the compounded interest formula:
A=P(1+r/n)^n*t
Where,
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per unit t
t = t is the amount of time at which you're checking how much it's worth (yrs)
Using this information, we can use:
A=500(1+0.025/4)^3*4
A=500(1+0.00625)^12
A=500(1.00625)^12
A=500(1.07763259886)
A=538.82
A=$538.82....
Eight hundred registered voters were asked whether they would vote yes or no on a certain measure. If 38% of those polled said yes, how many voters said no?
Answers
To find the decimal of 62%, we will have to divide 62 by 100 to get 0.62.
0.62(800)= 496.
Therefore, 496 people will vote no.
Hope this helps!
Final answer:
38% of eight hundred registered voters said yes, so 62% said no. By calculating 62% of 800, we find that 496 voters said no.
Explanation:
If 38% of eight hundred registered voters said yes to a measure, this means 62% said no because the total percentage must add up to 100%. To find out how many said no, we calculate 62% of 800. Here is the step-by-step calculation:
First, convert the percentage to a decimal by dividing it by 100: 62% / 100 = 0.62.
Next, multiply this decimal by the total number of voters to find the number who said no: 800 * 0.62 = 496.
Therefore, 496 voters said no to the measure.
using the side lengths determine whether the triangle is acute obtuse or right 24 30 18
Answers
Answer:
It is a Right Triangle.
Step-by-step explanation:
30^2 = 900
24^2 = 576
18^2 = 324
576 + 324 = 900
This satisfies the Pythagoras theorem so it is a Right Triangle.
Answer:
It's a right triangleStep-by-step explanation:
For a ≤ b ≤ c:
if a² + b² = c², then a triangle is a right triangle
if a² + b² < c², then a triangle is an obtuse triangle
if a² + b² > c², then a triangle is an acute triangle.
We have a = 18, b = 24, c = 30. Substitute:
18² + 24² = 324 + 576 = 900
30² = 900
18² + 24² = 30² → a² + b² = c²
7a3+56b3 factorize it plsss
Answers
Answer:
7(a + 2b)(a² - 2ab + 4b²)
Step-by-step explanation:
Given
7a³ + 56b³ ← factor out 7 from each term
= 7(a³ + 8b³) ← sum of cubes which factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
8b³ = (2b)³ ⇒ b = 2b
a³ + 8b³ = (a + 2b)(a² - 2ab + (2b)²) = (a + 2b)(a² - 2ab + 4b²)
Hence
7a³ + 56b³ = 7(a + 2b)(a² - 2ab + 4b²) ← in factored form
Which of these are the intercepts of y = 2x − 6?
A. (3, 0), (0, 6)
B. (3, 0), (0, -6)
C. (4, 0), (0, 6)
D. (6, 0), (0, 12)
Answers
Answer:
B. (3, 0), (0, -6)
Step-by-step explanation:
Plug 0 in for each variable one at a time, and you will get both intercepts.