Answer:
is d i did the test c is wrong
Step-by-step explanation:
5/6−(1/8÷3/4) please help i will give brainliest
\sqrt{53+20\sqrt{7}} can be written in the form a+b\sqrt{c}, where a, b, and c are integers and c has no factors which is a perfect square of any positive integer other than 1. Find a+b+c.
=====================================================
Explanation:
Since the range of [tex]y = \sqrt{x}[/tex] is [tex]y \ge 0[/tex], this means that [tex]\sqrt{53+20\sqrt{7}}[/tex] cannot be negative.
-----------------------------------
Let's set the given nested radical expression equal to the form a+b*sqrt(c), and then square both sides to see what happens
[tex]\sqrt{53+20\sqrt{7}} = a+b\sqrt{c}\\\\\left(\sqrt{53+20\sqrt{7}}\right)^2 = \left(a+b\sqrt{c}\right)^2\\\\53+20\sqrt{7} = a^2+2ab\sqrt{c}+b^2c\\\\53+20\sqrt{7} = (a^2+b^2c)+2ab\sqrt{c}\\\\[/tex]
Equating the corresponding parts shows that
[tex]53=a^2+b^2c \text{ and } 20\sqrt{7} = 2ab\sqrt{c}\\\\[/tex]
Therefore c = 7 must be the case to allow the radicands to match up.
-----------------------------------
Since c = 7, we can update the first equation like so
[tex]53=a^2+b^2c\\\\53=a^2+b^2*7\\\\53=a^2+7b^2\\\\[/tex]
We'll come back to this later.
-----------------------------------
Focus on [tex]20 = 2ab\sqrt{7}[/tex]
Note how 20 and 2ab are coefficients outside the root. So 20 = 2ab leads to ab = 10.
Here are all the ways to multiply to 10 where a,b are integers
1*10 = 10-1*(-10) = 102*5 = 10-2*(-5) = 10So we could have these possibilities.
a = 1, b = 10a = 10, b = 1a = -10, b = -1a = -1, b = -10a = 2, b = 5a = 5, b = 2a = -5, b = -2a = -2, b = -5If you try all of those a,b combinations with [tex]53 = a^2 + 7b^2[/tex], then you should find that a = 5 and b = 2 works. I'm skipping a bunch of steps here. All you basically do is plug and chug.
Due to symmetry, we could have a = -5 and b = -2 as another solution to [tex]53 = a^2 + 7b^2[/tex]. However, if a < 0 and b < 0, then [tex]a+b\sqrt{c}[/tex] would be negative which contradicts the fact that [tex]\sqrt{53+20\sqrt{7}}[/tex] is positive. So we'll ignore any case where a,b are negative.
Therefore, the only combination that works is a = 5 and b = 2
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Overall, we found that
a = 5b = 2c = 7And therefore,
[tex]\sqrt{53+20\sqrt{7}} = a+b\sqrt{c}\\\\\sqrt{53+20\sqrt{7}} = 5+2\sqrt{7}\\\\[/tex]
You can confirm this with your calculator by taking advantage of the idea "If x = y, then x-y = 0". In other words, if you subtract the left and right sides, you should get 0 as a result (the order of subtraction doesn't matter in this case). Don't forget to use parenthesis correctly, or you may not get 0. It might help to think of it as the form (x) - (y) = 0.
After we confirmed we have the correct a,b,c values, we simply add them up to get a+b+c = 5+2+7 = 14.
Perform the indicated operation.
22 6/11 ∙ 1 1/2
Answer:
Step-by-step explanation:
find 139.65-59.623 express your answer in decimal form
Answer:
80.027
Step-by-step explanation:
139.65 - 59.623= 80.027
hope this helps!
for mnyangel only
if u arent them u may ignore
Answer:
eh free points meh dude
Step-by-step explanation:
Please give me the answer to these right away.
Answer:
???
Step-by-step explanation:
Hi! plz help ty! this is from khan academy btw! ty
Answer:
z=2
Step-by-step explanation:
When you subtract a negative, you are adding the number, so the question simplify into 14= z + 12, which is 2
Brainliest Maybe?
Sorry that the answers are long! ONLY GIVE BRANLIST FOR RIGHT ANSWER! Points (−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team:
Which statement best describes the relationship between the positions of the two players?
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Answer:
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Step-by-step explanation:
Answer:
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Since you flip across the grid you would get the same coordinates but the number things would be answer blah blah blah
listen I know this is the answer I don’t have to explain myself.
The sales tax for an item was $14.80 and it cost $370 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
$33.30
Step-by-step explanation:trust mee
If a ballpoint pens sell for 3 for 65 cents how many pens may be brought for $9.75?
PLZ HELP THIS ASSIGNMENT IS DUE IN 2 HOURS I WILL GIVE BRAINLIEST!!
Answer:
About 45 pens would be bought
GIVEN,
3 pens can be bought for 65 cents
☞TO FIND
The number of pens that can be bought for $9.75
ANSWER
$9.75 = 975 cents
Therefore the number of pens that can be bought for $9.75 is,
[tex] \frac{975}{65} \times 3 \\ = 15 \times 3 \\ = 45[/tex]
So 45 pens can be bought
Evelyn has some money in her checking account. If she writes a check for $42.50, her checking account will be overdrawn by $23.75. Find how much money is Evelyn’s checking account now.
Answer: $18.75
Step-by-step explanation:
just subtract $42.50 from $23.75 and you have your answer
Answer:
i would say 18.75 or 66.25
Step-by-step explanation:
bc if u overdrawn that means u spent more than what u had in your bank account
If ur correct i will give u brainliest!
Answer:
x/13.5 feet = 12 inches/1 foot
So, the answer would be
162 inches/13.5 feet = 12 inches/1 foot
Help Mee With This Question Please :(
Answer:
what is the question
Step-by-step explanation:
7a = 49 plzzzzzzzzzzzzzzz help me
Answer:
a=7
Step-by-step explanation:
PLZ HELP IMAGE BELOW IS THE question TY btw this is from khan if that helps ty!
Answer:
[tex]a-(-b)>a[/tex]
Step-by-step explanation:
ok so lets round =-3 and b=2
ok so now lets solve -3-(-2)=-3+2
remember when you subtract a negative it is just like adding
so -3+2=-1 and -1 is greater than -3
i hope this helps
Explain the power of products property and give an example.
Answer:
This is an example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.
Step-by-step explanation:
An airplane on autopilot took 8 hours to travel 5,728 kilometers. What is the unit rate for kilometers per hour?
Answer:
716 kilometers per hour
I hope this helps!
A composition of various pictures of people, wheels, and the letters d a d a. This piece of art is an example of a _____(1)______, entitled, _____(2)______. a. (1) collage; (2) Cut with the Kitchen Knife Collage b. (1) realistic imagery; (2) Cut with the Kitchen Knife Collage c. (1) stained glass; (2) Creations and People Over Time d. (1) nonsensical creation; (2) Creations and People Over Time Please select the best answer from the choices provided A B C D Mark this and return
Answer:
A
Step-by-step explanation:
he graph below represents the price of sending video messages using the services of a phone company. What is the constant of proportionality? A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The values on the y axis are 0, 24, 48, 72, 96, 120, 144, 168, 192, 216, 240. Points are shown on ordered pairs 0, 0 and 2, 48 and 4, 96 and 6, 144 and 8, 192. These points are connected by a line. The label on the x axis is Video Messages Sent. The label on the y axis is Price in cents. 12 24 46 48
Answer:
24.
Step-by-step explanation:
Basically constant of proportionality is a ratio.
We take two points, we'll take the order pair (2,48)
It will always be y/x so y is 48 and x is 2
48/2 - now we simplify
answer: 24
hope this helps! :))
HELLPPP please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B, A, C
Step-by-step explanation:
it shouldve been B then A then C
Coach Siegel has 4/5 yards of string. He needs to make 10 smocks. How much string does each smock get?
a 4/50
b 50/4
c 40/5
d 5/40
In a proportional relationship, where k=1, what does y equal when x=5?
A. 5
B. 1/5
C. 0.5
D. 0.2
Answer:
5
Step-by-step explanation:
The question says a proportional relationship, of not stated otherwise, this means a directly proportional relationship, where,
y=kx
Now if, k=1, substituting in the equation would give,
y=x,
Therefore, whatever the value of x is, so is that the value of y,
thus, if x=5,
y=5
Write the equation of the line that contains the given point and has the given slope.
(–8, –8), slope = 3
Answer:
y=3x+16
Step-by-step explanation:
If you turn the equation into slope point form you can then evaluate and simplify it to get y=3x+16
Can someone help me out? :P
Just in case heres a second question in case yall cant see it :p
Pls someone help! I will mark brainliest!!!
Heres a fact the last fact i know its maybe not true but the Goodyear Blimp is the official bird of Redondo Beach, California.
redondo beach is situated near the goodyear blimps home airport in carson, california
Answer:
that is true i search it up
Step-by-step explanation:
Which value of x will make the inequality true?
12 > x - 7
a. x 19
d. x > 5
Answer:
Step-by-step explanation:
I am going to solve solve your inequality step-by-step.
12>x−7
Step 1: Flip the equation.
x−7<12
Step 2: Add 7 to both sides.
x−7+7<12+7
Which gives the answer
x<19
Deepak wrote an equation to show the total value of a stack of quarters. The equation is y = 0.25 x, where y represents the total value and x represents the number of quarters. Which table below represents this information?
A 2-column table with 4 rows. Column 1 is labeled Number of quarters with entries 12, 16, 20, 24. Column 2 is labeled Total value (in dollars) with entries 3, 4, 5, 6.
A 2-column table with 4 rows. Column 1 is labeled Number of quarters with entries 3, 4, 5, 6. Column 2 is labeled Total value (in dollars) with entries 12, 16, 20, 24.
A 2-column table with 4 rows. Column 1 is labeled Number of quarters with entries 4, 12, 20, 28. Column 2 is labeled Total value (in dollars) with entries 1, 2, 3, 4.
A 2-column table with 4 rows. Column 1 is labeled Number of quarters with entries 1, 2, 3, 4. Column 2 is labeled Total value (in dollars) with entries 4, 12, 20, 28.
Answer:
a
Step-by-step explanation:
The answer is A
It is a because it is the only one that does the math correctly.
A library just hired Brittany to write reviews on different books. The job requires her to read 3 books/week. If Brittany reads at this pace for 12 weeks , how many books will she read?
Answer:
36 books in 12 weeks
Step-by-step explanation:
All you have to do is multiply 3 books a week by 12 weeks....
1 week 3b 7 weeks 21b
2 weeks 6b 8 weeks 24b
3 weeks 9b 9 weeks 27b
4 weeks 12b 10 weeks 30b
5 weeks 15b 11 weeks 33b
6 weeks 18b 12 weeks 36b