3 years ago

Choose the points that are solutions to this:

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

6 0

Answer:

b. (3,3)

Step-by-step explanation:

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Find the value of x. then tell whether the side lengths form a Pythagorean triple

timurjin [86]

Answer:

x = √226

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

In that case, plug in a and b,

15² + 1² = c²

c = √(15² + 1²)

c = 15.0333

This is NOT a Pythagorean triple.

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3 years ago

The equation of the graphed line is x + 2y = 5. What is the x-intercept

Nata [24]

The x intercept is -2y + 5

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

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3 years ago

Identify this conic section. 9x 2 + 4y 2 = 36

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Divide: 9x 2/36 - 4y 2/36 = 36/36. Simplify: x2/4 - y2/9 = 1. Then do (x-0) 2/4 - (y-0)2 =1. Hyperbola.

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If you bought a cookie for $0.80 and paid for it with a $5 bill how much change would you receive

valentina_108 [34]

You would get $4.20 back

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3 years ago

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