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4 years ago

Prove the equation 2x^2 + y^2 = 14 has no positive integer solutions.

1 answer:

5 0

Solving for y, y=±14−2x2−−−−−−−√ for y to be a positive integer, (14-2x^2) must be a perfect square. Any positive integer values chosen for x will not yield a perfect square

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The sum of the heights of two brothers is 10 feet, 4 inches. The difference between their heights is 10 inches. How tall is the

Leona [35]

Answer:

4.5 ft

Step-by-step explanation:

Let us assume the height of the taller brother be x

And, the height of the shorter brother be y

Now according to the question

x + y = 10.33

x - y = 0.833

Now solve these two equations

2x = 11.666

x = 5.833

y = 10.33 - 5.83

= 4.5 ft

7 0

3 years ago

Please Help!

JulijaS [17]

Answer: $8865=6000(1+\frac{5\times t}{100})$

Step-by-step explanation:

Given

Liam deposited $P=\$\ 6000$

Rate of interest is $R=5\ \%$

If the amount after t years is $A=\$\ 8865$

Simple interest is given by

$S.I.=\dfrac{P\times R\times t}{100}$

And amount is

$A=P+S.I.$

$A=P(1+\frac{R\times t}{100})$

Substituting values we get

$8865=6000(1+\frac{5\times t}{100})$

$1.4775=1+\frac{5\times t}{100}$

$0.4775\frac{5\times t}{100}$

$5t=47.75$

$t=\frac{47.75}{5}=9.55\ years$

8 0

3 years ago

What is 7999 +9100=?????????

Mama L [17]

the answer is 17099

6 0

3 years ago

What is the value of 106 ?

Artemon [7]

Is that meant to be 10 to the power of 6?
Assuming it is it would be 10×10×10×10×10×10.
This equals 1,000,000 so the answer is C.

7 0

3 years ago

Read 2 more answers

A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de

dmitriy555 [2]

We have that
triangle ABC coordinates
A (0,2) B(2,4) C(0,0)

triangle DEF coordinates
D (2,0) E ( 4,4) F (4,2)

using a graph tool
see the attached figure

therefore

Line 1 Segment AC equals 2. Segment FE equals 2. Segment AC is congruent to segment FE
so
Segment AC equals 2-------> is correct
Segment FE equals 2-----> is correct
Segment AC is congruent to segment FE------> is correct

Line 2 ∠A ≅ ∠F------> is correct

Line 3 Length of segment AB. A (0, 2) B (2, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, d equals square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, d equals square root of negative 2 squared plus negative 2 squared, d equals square root of 4 plus 4, d equals square root of 8 segment AB = 2.83

find the distance AB
d=√[(4-2)²+(2-0)²]--------> d=√[4+4]-----> d=√8-----> d=2.83
AB=2.83
so
Line 3 is correct

Line 4 Length of segment DE. D (2, 0) E (4, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared, d equals square root of quantity 2 minus 4 all squared plus quantity 0 minus 4 all squared, d equals square root of negative 2 squared plus negative 4 squared, d equals square root of 4 plus 16, then d equals square root of 20 segment DE = 4.47

find the distance DE
d=√[(4-0)²+(4-2)²]--------> d=√[16+4]-----> d=√20-----> d=4.47
DE=4.47
so
Line 4------> is correct

Line 5 segment AB is congruent with segment DE
AB is not congruent with DE
so
Line 5 is not correct

therefore

the answer is
the student make the first mistake in line 5

6 0

4 years ago