[tex] \tt (7 - 2y) (7 +2y)[/tex]
By using identinty :
[tex] \large \underline{\boxed{\bf{(a-b)(a+b) = a^2 - b^2}}}[/tex]
[tex] \tt : \implies (7 - 2y) (7 +2y) = (7)^{2} - (2y)^{2}[/tex]
[tex] \tt : \implies (7 - 2y) (7 +2y) = 49 - 4y^{2}[/tex]
[tex] \large \underline{\boxed{\bf{(7 - 2y) (7 +2y) = 49 - 4y^{2}}}}[/tex]
Hence, value of (7 - 2y) (7 +2y) is 49 - 4y².
A faucet leaks 400 milliliters of water in 20 minutes. How many milliliters of water does the faucet leak per minute?
Answer:
It leaks 20 milliliters of water per minute
Step-by-step explanation:
400/20 = 20
1. What is a light year? The distance between the Earth and the Sun is 150 x 10^6 km. Express this distance in light years
Answer:
A light-year is a unit of distance. It is the distance that light can travel in one year. Light moves at a velocity of about 300,000 kilometers (km) each second. So in one year, it can travel about 10 trillion km. More precisely, one light-year is equal to 9,500,000,000,000 kilometers.
Step-by-step explanation:
help please?? thsnks
Step-by-step explanation:
step 1. the difference between x -> x' was 7
step 2. the difference between y -> y' was -2
step 3. the translation was 7 right and -2 down
step 4. the translation can be written (x + 7, y - 2)
step 5. the pre image was located in quadrant II.
Solve:
[tex]3x {}^{2} - 10x - 8[/tex]
please someone help me
(x-4)(3x+2) is your answer
3x²-10x-8
3x²-(12-2)x-8
3x²-12x+2x-8
3x(x-4)+2(x-4)
(x-4)(3x+2)
If x − 2 = 1/3, then what is the value of x^2− 4x + 4?
Answer:
the answer would be - 3 2/9
Step-by-step explanation:
2\frac{1}{3}^2-9\frac{1}{3}+4
is another way you could write it.
If someone could assist me with this, i will be very greatful!
Answer:
n>-5
Step-by-step explanation:
We have to distribute the -7 first, so:
-105<-7(5-2n) becomes:
-105<-35+14n
To find n, we have to add 35, so:
-105<-35+14n
+35 +35
We get 14n>-70. Now, we have to divide each side by 14 to find n.
14n/14>-70/14.
So, the solution becomes n>-5.
Adrian and his children went into a restaurant where they sell hotdogs for $3 each
and hamburgers for $8 each. Adrian has $80 to spend and must buy no less than 12
hotdogs and hamburgers altogether. If x represents the number of hotdogs
purchased and y represents the number of hamburgers purchased.
Plzzz helppp fast
Step-by-step explanation:
16x + 4y= 80
16 (3) + 4 (8) = 80
WILL MARK YOU BRAINLIEST
Answer:
see in the picture, u can see that JKLM is a parallelogram
=> JK = LM
<=> 3x - 2 = x + 6
<=> 2x = 8
<=> x = 4
with x = 4 => JA = 2.4 - 1 = 7
What is the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths?
Given:
One midsegment of an equilateral triangle.
To find:
The ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths.
Solution:
All sides of an equilateral triangle are same.
Let a be the each side of the equilateral triangle.
Length of the midsegment is equal to the half of the non included side or third side.
[tex]Midsegment=\dfrac{a}{2}[/tex]
The sum of two side is
[tex]a+a=2a[/tex]
Now, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is
[tex]\text{Required ratio}=\dfrac{\text{Length of midsegment}}{\text{sum of two sides}}[/tex]
[tex]\text{Required ratio}=\dfrac{\dfrac{a}{2}}{2a}[/tex]
[tex]\text{Required ratio}=\dfrac{a}{4a}[/tex]
[tex]\text{Required ratio}=\dfrac{1}{4}[/tex]
[tex]\text{Required ratio}=1:4[/tex]
Therefore, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is 1:4.
Tell whether the equation has one, zero, or infinitely many solutions.2(x − 3) + 4 = 1x − 5.
Answer:one solution
Step-by-step explanation:
x=-3, TeR
My answer is the number below the question for ex: 1m
Can someone please tell me if I did this right. Sorry for the bad pic quality.
Answer:
Yes i think you did it right because its +3 - 2
6(3x – 8) = 7(7x + 7)
Answer:
Step-by-step explanation:
6(3x – 8) = 7(7x + 7)
18x - 48 = 49x + 49
49x - 18x = - 48 - 49
31x = - 97
x = - 97/31
Answer:
x = -3.13
Step-by-step explanation:
6(3x – 8) = 7(7x + 7)
18x - 48 = 49x + 49
subtract 18x from from each side
-48 = 31x + 49
add 48 to each side
31x +97 = 0
31x = -97
divide both sides by 31
x = -3.13
check:
6(3[-3.13] - 8) = 7(7[-3.13] + 7)
-104.35 = -104.35
7/0
What is the definition of "median"?
the number that
appears the
most in a set of
data
the number in
the middle of a
set of data
the average of a
set of data
the difference
between the
greatest and
smallest value in
a set of data
Music off
Zone
WILL MARK YOU BRAINLIEST
Answer:
parallelogram
Step-by-step explanation:
.........
Answer:
i believe that is a parallelogram
Step-by-step explanation:
hope this helps :) have a nice day !! please let me know if that was wrong
If Carrie is 55% of the way achieving her goal and she has already run 11 miles, how many miles is she trying to run by the end of the week
Answer:
If 11 = 55%
Then 20= 100%
Step-by-step explanation:
1%=0,2
100%= 0,2×100
100%=20
Given the lengths of the sides which of the following would NOT be a right triangle?
6,8,10
9.12.16
O 30, 40, 50
0 33, 45, 55
6) Víctor se dedica a la exportación de café y su
ganancia es de S/ 56 490 en un año. Si su vecina
Andrea logra aumentar su ganancia en Sl 9320,
obtendrá tanto como Víctor. ¿Cuánto gana Andrea?
a. Encierra los datos del problema.
b. Elabora un esquema y resuelve el problema.
Answer:
BElabora un esquema y resuelve el problema.
Step-by-step explanation:
HELP WITH THIS PLZZS GORL
Answer:
13/6÷ 7/4 = 15/21
Step-by-step explanation:
Answer:
15/21
Step-by-step explanation:
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (2, 720)(2,720).
Answer:
The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].
Step-by-step explanation:
Let be an exponential function of the form [tex]y = a\cdot b^{x}[/tex] that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex]. Then, we have the following system of equations:
[tex]20 = a\cdot b^{0}[/tex] (1)
[tex]720 = a\cdot b^{2}[/tex] (2)
By dividing (2) by (1), we obtain the value for [tex]b[/tex]:
[tex]\frac{720}{20} = b^{2}[/tex]
[tex]b = \sqrt{\frac{720}{20} }[/tex]
[tex]b = 6[/tex]
And the value for [tex]a[/tex] is found by (1):
[tex]a = 20[/tex]
The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].
WILL GIVE BRAINLIEST
Shape S below is exactly one quarter of a solid sphere, centre O.
The volume of shape S is 19441 cm
Find the surface area of S.
Give your answer correct to 3 significant figures.
You must show your working.
+
Shape S
Volume of sphere = ☆
ar
Surface area of sphere = 4ter?
Total marks: 5
Answer:
905 cm^2
Step-by-step explanation:
Work out the radius using the volume.
SA = curved + 2 flat semi-circles
= 1/4 x SA sphere + 2 x semi-circle
= 1/4 x 4πr^2 + 2 x 1/2πr^2
= 1/4 x 4π x 12^2 + 2 x 1/2πr^2
= 904.778
=905 cm^2
Find the measure of the indicated angle to the nearest degree.
1. use sin
inverse of sin(44/57) = 50.5 ---> 51°
2. use tan
inverse of tan(6/8) = 36.8 ---> 37°
3. use cos
inverse of cos(20/31) = 49.8 ---> 50°
4. use sin
inverse of sin(37/58) = 39.6 ---> 40°
Work out the perimeter of a semicircle with radius 3 cm.
Give your answer in terms of tt.
3 cm
Answer:
3π+ 6 = 15.42477796
Step-by-step explanation:
diameter = 6
πd = circumference
6x π = 6π
3π = semi circle
3π+ 6 = 15.42477796
Find the 14th term of the arithmetic sequence 5x+2, -2x+7, -9x+12, ...
Answer:
Step-by-step explanation:
common difference d = a₂-a₁ = (-2x+7)-(5x+2) = -7x+5
a₁₄ = a₁+13(-7x+5)
= (5x+2) - 91x + 65
= -86x + 67
Answer:
mbhjv vyvj
Step-by-step explanation:
A dishwasher uses 11 liters of water for each cycle. A washing machine uses 5 times as much water as a
dishwasher uses for each load. Combined, how many milliliters of water are used for 1 cycle of
each machine?
Answer:
55,000 milliliters
Step-by-step explanation:
So if washing machine uses 5 times more than dishwasher
Dishwasher: 11 litters of each cycle
Washing machine: 11 x 5= 55 litters for each machine in litters
If 1 litter is equal to 1000 milliliter then 55 x 1000 = 55,000 milliliters
FORMULA for milliliter: multiply the volume value by 1000
Hope this helps
At Jayla's Swimwear, 6 out of the 20 styles at the store are bikinis. What percentage of swimsuit styles at the store are bikinis?
Answer: Your answer is 30 percent
Answer:
30%
Step-by-step explanation:
Make a fraction
6/20
There a few different ways to find a percentage, but in this case, I will change the fraction to be out of 100
20 × what = 100?
20 × 5 = 100
Multiply the denoninator by 5
6 / 20 × 5
What we do to the denominator, we must also do to the numerator
6 × 5 / 20 × 5
30/100
Percentages are out of 100, meaning if the fraction has the denominator "100," the numerator is the answer
30%
How do you write 21% as a decimal
Jim needs to divide 769 coupon books equally among 9 stores. In which place is the first digit of the quotient? Select the word that makes the sentence true.
Answer:
tens
Step-by-step explanation:
The first thing we need to do is calculate the quotient. This would be the answer of dividing the number of coupons by the number of total stores.
769 / 9 = 85.4
If we count the first digit from the left as the first digit then that would mean 8 is the first digit and it is in the tens spot while the 5 is in the Ones spot.
(3a + 7) elevado al cuadrado es.
Answer:
9a^2 + 42a + 49
Step-by-step explanation:
expand to (3a+7) (3a+7) then distribute then combine like terms
What is the logical form of:
x is divisible by both 2 and 3 but not 4.
PLEASE HELPPPPPPPP
Please please help and explain! I will mark Brainliest.
Answer:
Decay
3
Step-by-step explanation: