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Ne4ueva [31]
3 years ago
5

Is the following true for all positive values of a and b: If a^2>b^2, then a>b

Mathematics
2 answers:
Dominik [7]3 years ago
4 0

Answer:

Yes, that is correct.

Step-by-step explanation:

a would always have to be greater than b since you're just multiplying each variable by itself.

zysi [14]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

a^2>b^2 means a^2-b^2>0.

Factoring the left hand side gives me:

(a-b)(a+b)>0

Since a,b are positive then a+b is positive so dividing both sides by this will not effect the direction of the inequality:

a-b>0

Adding b on both sides gives:

a>b

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The sum of four consecutive even integers is 256. what are the numbers?
Naily [24]

Answer:

61 , 63 , 65 , 67

Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

x + x + x + x + 2 + 4 + 6 = 256

4x + 12 = 256

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

4x = 256 - 12

4x = 144

Next, divide 4 from both sides of the equation:

(4x)/4 = (144)/4

x = 144/4

x = 61

61 is your first number. Find the next 3 consecutive numbers:

x = 61

x + 2 = 63

x + 4 = 65

x + 6 = 67

Check:

61 + 63 + 65 + 67 = 256

256 = 256

~

7 0
3 years ago
Which statements are true about the ordered pair (2, 3) and the system of equations?
kifflom [539]
The answer is f when 2,3 is put in for the x and y then 18 should come out 3×2=6
4×3=12 12+6=18
7 0
3 years ago
The radius of a circle is 8 what is the area of the circle? pls show work
topjm [15]

Answer:

201.06

Step-by-step explanation:

A=πr2=π·82≈201.06193

4 0
3 years ago
Read 2 more answers
What is the solution set to the following system?
elena-s [515]
The correct answer is C
3+ 0 is 3
3^2 + 0 is 9
3 0
3 years ago
FIND X AND Y. GIVING BRAINLIEST AND 100 POINTS
aksik [14]

Answer:

here u can look

Mark as brainlist

Step-by-step explanation:

X + y = 120(being alternate angle)

or,X=120-y

then

2x-y=120

or,2(120-y) - y= 120

240-2y-y=120

y=240-120

y= 120

again,

X=120-y

= 120-120

=0

hence,

X= 0

y= 120

6 0
2 years ago
Read 2 more answers
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