Answer:
12-4√5
Step-by-step explanation:
(√10-√2)²
(√10-√2)(√10-√2)
Foil/distribute
10-√20-√20+2
12-2√20
12-2√4*√5
12-2*2√5
12-4√5
On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.
Algebraic identities are expansion of powers of algebraic expressions.
One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
Given the question,
[tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]
Given the form, [tex]b - c\sqrt{5}[/tex],
On comparison,
b = 12
c = 4
Learn more about algebraic identities here
https://brainly.com/question/28853516
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1. Mohamed bought 18 fish for his fish tank. He selected some Guppies and Platies. Mohamed really likes Guppies, so he bought three more than twice the number of Platies.
How many Guppies did Mohamed purchase?
Enter your answer in the box.
Mohamed purchased ____ Guppies for his fish tank.
2. The admission fee at the movies is $2.70 for children and $5.25 for adults. On a certain day, a total of 125 people entered the theater and $434.40 was collected.
How many adults were are the movies?
Enter your answer in the box.
There were ____ adults at the movies.
3. At the checkout counter a customer purchased a total of 20 cans of cat and dog food. The canned cat food cost $1.23 per can and the dog food cost $2.74 per can. Before taxes the cost for the cat and dog food was $41.21.
How many cans of dog food were purchased?
Enter your answer in the box.
There were ____ cans of dog food purchased.
4. There are a total of 25 deer in the front pasture. There are five more does than quadruple the number of bucks.
How many bucks are in the front pasture?
Enter your answer in the box.
There are ____ bucks in the front pasture.
Answer:
Step-by-step explanation:
1. 13
2. 38
3. 11
4. 4
8.517
In word form, please
and expanded, please help
Answer:
eight point five one seven.
Step-by-step explanation:
YO ANYONE WHO IS REALLY GOOD AT MATH THAT COULD HELP ME ?
Im good at math, what do you need help with?
Solve the inequality. Graph the solution 3x <-5/4 I just need help on graph
Step-by-step explanation:
Solution is already given:
3x ≤ - 5/4x ≤ -5/12Graph the inequality:
1. Select the point - 5/12 on the number line. Count 5 dots starting from zero going left. It is already divided by 12 parts.2. Make it full dot3. Add a line to the left from the dotAnd you are done
So Graph it
Put a close dot on -5/12 as it's ≤ sign givenThen draw a arrow left wards as x is less than the close dotGeometry please help
Answer:
x = 2.5
Step-by-step explanation:
The sum of the exterior angles of a convex polygon is 360°.
120° +55° +65° +40° +(32x)° = 360°
32x = 80 . . . . . divide by °, subtract 280
x = 2.5 . . . . . . divide by 32
please help me :)
ty ty
Answer:
The slope is steeper and the line is shifted flatter.
Step-by-step explanation:
I have provided a graph to help illustrate the relationship between these two lines, (The red line is line A which is y = 2x + 4, and the blue line is line B which is y = 4x + 9).
As you can see, the slope does determine the steepness of the lines. This means that line A's slope is going up 2 units and over to the right 1 unit, whereas line B's slope is going up 4 units and to the right 1.
Therefore, if line A is to transform into line B, then its slope will be steeper.
Hope this helps you :)
Also, P.S. I don't know if there are supposed to be more options, so I apologize if flatter does not belong in the second box.
What is the value of x in this equation? Enter your answer in the box.
(2.4 x 10^3) x (3 x 10^x) = 7.2 x 10^9
Answer:
6
Step-by-step explanation:
(2.4×10³)×(3×10^x)=7.2×10^9
(3x10^x)=(7.2×10^9)/(2.4×10^3)
3×10^x=3×10^6
10^x=10^6
*when bases are same ,powers are equated*
thus x=6
At a restaurant the ratio of kids meals sold to adult meals sold was 2:1. If there were 8
kids meals sold, what is the combined amount of kids and adult meals sold?
Answer: 12
Step-by-step explanation:
8/2=4
4x1=4
8+4=12
Answer:
12
Step-by-step explanation:
following the 2:1 ratio, or 2 kids meals for every adult meals sold, so if 8 kids meals are sold, 4 adult meals must have been sold.
8/2 = 4
What are the zeros of this function?
A. x=0 and x=-6
B. x=0 and x=5
C. x=0 and x=-5
D. x=2 and x=-6
Answer:
c i dont know
Step-by-step explanation:
Answer:
Definitely not C
Step-by-step explanation:
plz help thank you so much thumbs up
Answer:
1. B - 12.5 miles per hour
2. A - 0.36 hours
please help asap for brainlist
Answer:
Substitute the given n-values into each function, f(n), to determine which generates the same values as the given a(n)'s.
Step-by-step explanation:
What is the result of 3 divided by three-fifths?
[tex]\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5[/tex]
Answer:
5
Step-by-step explanation:
3 -> [tex]\frac{3}{1}[/tex]
Method is "Keep, Change, Flip"
[tex]\frac{3}{1} / \frac{3}{5} =\frac{3}{1} * \frac{5}{3} = \frac{15}{3} = 5[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
a diver jumps a platform 16 feet above the water to a depth of 6 feet below the surface of the water. what is the distance he dives
Calculator
What is the value of a?
Answer:
15
Step-by-step explanation:
20^2 + x^2 = 25^2
= 400 + x^2 = 625
= x^2 = 225
= x = 15
Answer:
15
Step-by-step explanation:
20^2 + x^2 = 25^2
= 400 + x^2 = 625
= x^2 = 225
= x = 15
You know what to do
help please!
i can't figure it out.
Answer:
35
Step-by-step explanation:
8 + 27 would give us 35
We add the negative since it starts from there and works it's way up.
t - 2 2/3 = - 5/2
A. 1/6
B. -1/6
C. 4 1/3
D. -4 1/3
30 POINTS! "A triangle with the side lengths of these numbers CAN exist: 9, 3, and ____?
Answer:
Let the third side be x
We know that
Sum of two sides of a triangle must be greater than the third side
So,
9 + 3 > x
12 > x (1)
Also, difference of two side of triangle must be smaller than the third side
9 - 3 < x
6 < x (2)
From 1 and 2 we concluded
6 < x < 12
The length of third side would lie between 7 to 11
Val has 3/4 gallon of milk. He gives 1/2 of it to a friend. How many gallons of milk does Val have left
Step-by-step explanation:
given, ¾-½= ¼gallon milk.
hope this helps you.
Which congruence criteria is met in the following scenario?
ASA
SAS
SSS
HL
AAS
Please find the area...
5. 19c + 1 = 39
Show the work please
Hello :) Here is the step by step,
19c+1=39
Subtract 1 from both sides.
19c=39−1
Subtract 1 from 39 to get 38.
19c=38
Divide both sides by 19.
c= 19 /38
Divide 38 by 19 to get 2.
c=2
Solve for the value of R.
PLEASE HELP ME SOMEONE ILL GIVE YOU POINTS AND BRAINLIST ANSWER!!!!
Answer:
r=20°
Step-by-step explanation:
Because the whole angle is 180°, you can make an equation.
105+(4r-5)=180
4r-5=75
4r=80
r=20
Give the other person brainliest ;)
What is 9x8x7x4 ANswer in 1 second.(IKNOW THE ANSWER)
Answer:
2016
Step-by-step explanation:
26. Dy Aminah arrived at her office at 07 45h. The journey to her office was 50 minutes. At what time did she leave her house?
Answer:
6 55
Step-by-step explanation:
60 more boys than girls attended the school picnic. If at most 230 boys attended the picnic, how many girls attended?
Answer:
!70 girls
Step-by-step explanation:
230 - 60 = 170
hope this helps
Enter your answer in the box.
What is the value of x?
Based on the shape and the angles already given in the diagram, the value of x must be 80°
The interior angles of a triangle must always add up to 180°
This means that the value of x is:
180 = 70 + 30 + x
180 = 100 + x
x = 180 - 100
x = 80°
In conclusion, x is 80°.
Find out more about the interior angles of a triangle at https://brainly.com/question/7888180.
Jan has a piece of yarn that is 6 1/2 feet long. She cuts off a piece that is 2 5/12 feet long. How much yarn does she have left?
A. 3 3/4 feet
B. 4 1/12 feet
C. 4 3/4 feet
D. 8 7/12 feet
Please keep answer simple, and no absurd, out of context answers, thank you!
Determine the sign of the leading coefficient
Answer:
negative
Step-by-step explanation:
The graph falls to both the left and right, so the leading coefficient has to be negative, and it must be raised to an even power.
Cooper Toy Company has designed a new toy that uses a spring that follows a
sinusoidal curve after you wind it up and start it. At t = 5 seconds, the end of
the spring is at its highest point, 18 cm above the ground. Four seconds later,
the spring is at its lowest point, which is 6 cm above the ground. Find an
equation that will determine the height of the spring at any time t.
a) Find the height of the spring after 26 seconds.
b) Find the first time the height of the spring reaches 16 cm above the ground.
Answer:
Step-by-step explanation:
b] find the first time the height of the spring reaches 16 cm above the ground.
CU
1
A baby gains 11 pounds in its first year of life. The baby gained 4 a pounds during the first four months and 35 pounds in
its second four months. How much did the baby gain in the last four months?
o 31 pounds
o 33 pounds
O 4 pounds
O 5 pounds
Mark this and return
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Answer:
He gained 31 pound in four months