Which expressions are equivalent to 16^x/4^x
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Every week, Jeffrey cleans out the wishing well at the park. How much money did he find this week? Use these clues to figure out how many pennies, nickels, and dimes he found. Write your answer on the corresponding basket CLUES He finds at least one penny, one nickel, and one dime. He has a total of 14 coins. The coins add up to 56 cents. He has more nickels than dimes. He has the same number of pennies as nickels. Questions How many Pennies? How many Nickels? How many Dimes?
Solve for x: -2x(x-3)=-11 (correct two decimal place)
How to find the value of this expression
5. To get to the library from his house, Robert biked 6 kilometers due east and then8 kilometers due south. On the way back, he cut across a field, taking the shortestpossible route home.How far did Robert bike on the round-trip?Home6 km8 kmLibrary
in standard form find the center and radius of the circle.show all of your work for full credit
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Final answer:
The given equation can be rewritten into the form of an equation for a circle with center (h,k) and radius r. After completing the squares for x and y coefficients, we determine the center as (2, -5/2) and radius as 1.
Explanation:
The provided equation is 2x2 + 2y2 - 8x + 10y + 2 = 0.Let's rewrite it in the form of an equation for a circle, which is (x-h)^2 + (y-k)^2 = r^2, where (h,k) represents the center of the circle and r represents the radius:
First, we group the terms related to x and y separately like this: 2(x2- 4x) + 2(y2 + 5y) +2 = 0.
Now, re-arrange the terms to complete the square: 2[(x-2)^2 - 4] + 2[(y+5/2)^2 - (5/2)^2] + 2 = 0.
Re-arrange again, this time to make it equate to zero: (x-2)^2 + (y+5/2)^2 = 1. Hence, the circle's center (h,k) is at (2, -5/2) and the radius (r) is the square root of 1, which is 1.
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Answer:
first group x's with x's and y's with y's
then complete the squra with x's and y's
2x^2-8x+2y^2+10y+2=0
2(x^2-4x)+2(y^2+5y)+2=0
take 1/2 of linear coeficient and square
-4/2=-2, (-2)^2=4
5/2=2.5, 2.5^2=6.25
add that and negative inside
2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0
factor perfect squares
2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0
distribute
2(x-2)^2-8+2(y+2.5)^2-12.5+2=0
2(x-2)^2+2(y+2.5)^2-18.5=0
add 18.5 both sides
2(x-2)^2+2(y+2.5)^2=18.5
divide both sides by 2
(x-2)^2+(y+2.5)^2=9.25
that is a circle center (2,-2.5) with radius √9.25
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Answer:37 lol
Step-by-step explanation:
Answer:0.37
Step-by-step explanation: you subtract 0.63 by 1.00 to get 0.37
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Answer:
b= 2 is the solution for the given equation.
Step-by-step explanation:
Here, the given expression is:
Simplifying Left side, we get
=
Also, by ALGEBARIC IDENTITY:
So,
So, LHS becomes
Compare both Left side, Right side we get
=
or, 7(b-3) + 5(b+3) = 10b -2
⇒ 7b - 21 + 5b + 15 = 10b -2
or, 12b - 10b = 6-2
or, 2b = 4 ⇒ b = 4/2 = 2
⇒ b= 2 is the solution for the given equation.
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4 lamps=$20
1 lamp=$x
20/4=x
20/4=$5
75/5= 15
75÷5= 25
75÷5= 70
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The correct quotient of 75 divided by 5 is 15.
When you divide 75 by 5, you are essentially asking how many times 5 can be evenly divided into 75. To find the quotient, you divide 75 by 5:
75 ÷ 5 = 15
This means that 5 can be divided into 75 exactly 15 times.
Therefore, the quotient is 15.
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Answer: the second one
Step-by-step explanation:
75/5 = 15
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Answer:
Odd:: 8+7+9=24
Even:: 2+8=10
So difference of odd and even is 24-10=14
Reducing 3 from this will make the difference (14–3) divisible by 11.
So the number to be subtracted is 3
And the number is 82786.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.