find a and b if
[tex] \sqrt{5} + \sqrt{3} \div \sqrt{5 } - \sqrt{3} [/tex]
if a-b√15
Answer:
a=-19/7, b=5/7
Step-by-step explanation:
Answer:
a = 4 b = -1Step-by-step explanation:
I think you meant [tex](\sqrt5+\sqrt3)\div(\sqrt5-\sqrt3)[/tex]
Then:
[tex](\sqrt5+\sqrt3)\div(\sqrt5-\sqrt3)=\dfrac{\sqrt5+\sqrt3}{\sqrt5-\sqrt3}\cdot\dfrac{\sqrt5+\sqrt3}{\sqrt5+\sqrt3}=\\\\\\=\dfrac{(\sqrt5)^2+2\cdot\sqrt5\cdot\sqrt3+(\sqrt3)^2}{(\sqrt5)^2-(\sqrt3)^2}=\dfrac{5+2\sqrt{15}+3}{5-3}=\dfrac{8+2\sqrt{15}}{2}=\\\\\\=\dfrac{2(4+\sqrt{15})}{2}=4+\sqrt{15}\\\\\\a=4\,,\qquad b=-1[/tex]
648 flowers were arranged in 27 large vases, with the same number in each vase. How many flowers would be needed to fill 120 vases?
Answer: 2880 flowers
Step-by-step explanation:
Since 648 flowers were arranged in 27 large vases, with the same number in each vase, this means that each vase will contain 24 flowers
= 648/27
= 24 flowers
Therefore, the number of flowers needed to fill 120 vases will be:
= 24 × 120
= 2880 flowers
a line passes through the points......
Step-by-step explanation:
= -6m+b
2= -2m+b
2= -4m
m= -0.5 = -1/2
4= -6m+b
b= 4+6(-0.5)= 4-3=1
y=mx+b
y= -1/2 x + 1
Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen numbers. What is the largest product that Khushali can make?
Answer:
The answer i got is 192
Step-by-step explanation:
the largest numbers shown is 8,6 and 4. When you multiply all three of them you get 192
Answer:
280
Step-by-step explanation:
Through trial and error, one can figure out that the answer is 280. Now, you might first try to go 8 * 6 * 4, which equals 192. However, if you get the product of two negative numbers, it becomes a positive, which we can use. Using the numbers -7, -5 (which cancel out each other making the product positive), and 8, the product of all of them is 280. The largest product that Khushali can make is 280.
8 * 6 * 4 = 192
(-7) * (-5) * 8 = 35 * 8 = 280
Which would you use to determine how much money you have left over to save each month?
Answer
✔ income statement
1. During
a period, a music station played 21 minutes of commercials
which was 30% of the total time. What is the duration of the
total time of music station under consideration.
Answer:
10 minutes
Step-by-step explanation:
tell me why ain't nothing but a heartache
Eli needs to place buoys at specific points in the inlet. He used the expression x4−81 to find the location for each buoy. Which expression is equivalent to Eli's expression?
Answer:
[tex]x^4 - 81 = (x - 3)(x+3)(x^2 + 9)[/tex]
Step-by-step explanation:
Given
[tex]x^4 - 81[/tex]
Required
Write an equivalent expression
Express 81 as 9^2
[tex]x^4 - 81 = x^4 - 9^2[/tex]
Express x^4 as (x^2)^2
[tex]x^4 - 81 = (x^2)^2 - 9^2[/tex]
Apply difference of two squares:
[tex]x^4 - 81 = (x^2 - 9)(x^2 + 9)[/tex]
Express 9 as 3^2
[tex]x^4 - 81 = (x^2 - 3^2)(x^2 + 9)[/tex]
Apply difference of two squares
[tex]x^4 - 81 = (x - 3)(x+3)(x^2 + 9)[/tex]
Hence, an equivalent expression is: [tex](x - 3)(x+3)(x^2 + 9)[/tex]
Determine the area of the figure shown
Answer:
I can't see the figure.
Answer:
270 inches
Step-by-step explanation:
Multiply all sides
What does 4×(-6) equal if you solve
Answer:
-24
Step-by-step explanation:
Since only one of the factors has a negative sign, the product will be negative.
4 · (-6) = -24
Answer:
-24
Step-by-step explanation:
4×(-6)
Remove parenthesis
-4 x 6
= -24
Extra
Its basically the same thing as 4 x 6 (which is 24) the only difference here is that the 4 is a negative.
POSITIVE FORM NEGATIVE FORM
4 x 6 = 24 -4 x 6 = -24
6 x 4 = 24 -6 x 4 = -24
Hope this helps :)
Replace each ? with an expression that will make the right side of the equation equivalent to the right side.
1. 6x+?= –10x
2. 6x+?= 10
Answer:
2 if x=2
Step-by-step explanation:
Which expression is equivalent to -5a + 12b - c + 5a - 7b + 12c after combining like terms?
Answer:
5b + 12c
Step-by-step explanation:
-5a +5 a = 0
12b-7b = 5b
12c= 12c
therefore you have the expression 5b+12c
Steve has a 100 $ gift card for his phone, he wants to use it on songs a song cost 3.99 how many songs can Steve buy using the gift card?
Answer:
Steve can buy 25 songs with his gift card.
Step-by-step explanation:
Money with Steve = $ 100
Money per song = $ 3.99
No. of songs Steve can buy =?
No. of songs Steve can buy = Money with Steve ÷ Money per song
No. of songs Steve can buy = $100 ÷ $3.99 (round off 3.99 to 4)
= 100 ÷ 4
= 25 songs.
if -0.3x − 30 = 60 what is x
Answer:
Step-by-step explanation:
if we have
-0.3x-30=60
-0.3x=60+30
-0.3x=90
x=90/-0.3
x=-300
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = -300
Step-by-step explanation:
Determine two values of C that allow each expression to be factored
*Please explain step by step*
(X^2+6x+C)
The answer vary but let use 9 and 8.
Step-by-step explanation:
First, let write this equation down.
[tex] {x}^{2} + 6x + c[/tex]
In order to factor this expression, we must think of two numbers that can add to 6, but Also multiply to C. This number vary but let use two potential scenarios
Let use 3 and 3 since 3+3=6 to find C let multiply 3 and 3.
3x3=9.
So one value of C could be 9.
This expression factor equal
[tex](x + 3) {}^{2} [/tex]
Let use another one.
Since 2 and 4 add to 6. Let multiply 2 and 4 to find C.
[tex]2 \times 4 = 8[/tex]
So c=8
Thus expression factor equal
[tex](x + 2)(x + 4)[/tex]
Isaac buys 17 anti-pollution masks for £5.25 each.
He pays with five £20 notes.
a) How much change should Isaac get?
Write your answer in £.
Answer:
£10.75
Step-by-step explanation:
£5.25 x 17 = 89.25
5 £20 notes is £100
£100 - £89.25 = £10.75
Answer: £10.75
Step-by-step explanation:
£5.25 x 17 = 89.25
5 £20 notes is £100
£100 - £89.25 = £10.75
what's the equation with a rate of change of 3
1. 3y=2x+5
2.y=6x-3
3.y=3x+12
Answer:
3. Y=3x+12
Explanation:
3 is used as the rate for whatever is for x
Can someone please help me, i need to get this done before tommorrow!
Answer:
Ryan swam further by 5/6
Step-by-step explanation:
34 2/3 = 104
52 5/8 = 104 5/6
104 5/6 - 104 = 5/6
PLEASE HELP 100 points and Brainliestwill be given!!
Which equation represents exponential decay?
Answer:
The answer is C
Step-by-step explanation:
Exponential decay is when b is between 0 and 1.
Answer:
C. y = 10(0.13)^x.
Step-by-step explanation:
exponential decay is decreasing from what I remember from Algebra 1 Honors. So therefore, your only answer can be C. y = 10(0.13)^x.
The others all increase because 31, 3.1, 1.03 are all bigger than 1 which means that they increase while .13 decreases.
C. y = 10(0.13)^x.
can you do step by step I wasn't paying attention in class
Answer:
B
Step-by-step explanation:
The 47 comes from no where and is just a random number so it cannot be an equation that you can use.
Answer:
A
Step-by-step explanation: I can figure out everything else except for A.
Area of an equilateral triangle is 36√3 cm2
. Find its side.
Answer:
a=12 will be answered
Step-by-step explanation:
a=side
a=12
Answer:
12
Step-by-step explanation:
you have to divide 3 by 36 to get 12
If rectangle LMNO were rotated 180° clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O' be?
9514 1404 393
Answer:
90°
Step-by-step explanation:
Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.
_____
Additional comment
No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.
the number - 12/16 can be reduced as
Answer:
3/4
Step-by-step explanation:
12 divide 4 3
16 divide 4 4
Answer:
-3/4
Step-by-step explanation:
-12/16 ÷ 4 = -3/4
Enter 8 100 as a money amount and as a decimal in terms of dollars
Answer:
8.1-00
Step-by-step explanation:
Enter 8 100 as a money amount and as a decimal in terms of dollars
AYO HEAR ME OUTTT...HAVE U EVER HAD A DR6THAT U HAD A DREAM THAT U HAD A DREAM THAT YOU HAD A DREAM THAT YOU HAD A DREAM?
Answer:
Step-by-step explanation:
what did u mean,
i didnt understand
Marcus is biking at 15 kilometers per hour. How long will it take Marcus to travel 37.5 kilometers?
Answer:
2.5
Step-by-step explanation:
Divide 37.5 by speed per hour
37.5/15=2.5
Answer:
2.5 hours
Step-by-step explanation:
What type of correlation is shown?
х
xx
Х
X
I do not understand this. Please help, need answer right away
Answer:
50%
Step-by-step explanation:
Answer:
38
----
52
Step-by-step explanation:
Show the solution for a two square room have a total floor area of 89m rise to power 2 one room is 3mlonger each way than the other find the dimensions of the two rooms
Answer:
side length of the smaller room = 5 m
Side length of the larger room = 8 m
Step-by-step explanation:
Total area of two square room = 89 m²
Area of a square = side²
Let
x = side of the smaller square
x + 3 = side of the longer square
Total area = area of room A + Area of room B
89 = x² + (x + 3)²
89 = x² + x² + 6x + 9
89 - 9 = 2x² + 6x
2x² + 6x = 80
2x² + 6x - 80 = 0
Divide through by 2
x² + 3x - 40 = 0
Solve quadratic equation using factorization method
x² + 8x - 5x - 40 = 0
x(x + 8) -5(x + 8) = 0
(x - 5) (x + 8) = 0
(x - 5) = 0 (x + 8) = 0
x = 5 x = -8
The side length of a square room can not be a negative value
Therefore, side length of the smaller room = 5 m
Side length of the larger room = 5 + 3
= 8 m
You poured 4 kilograms of oats equally into 3 bags. What is the weight of each of his bags of oat
Please answer i’m confused lol i didn’t pay attention in math
Answer:
2 2/3
Step-by-step explanation:
we know that the kg in each bag is 2 2/3
please help me
The measure of an exterior angle of a triangle and the sum of the measures of the two remote interior angles are ________.
Answer:
180
Step-by-step explanation: