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morpeh [17]
3 years ago
7

1 .Is the product of two rational numbers irrational or rational? First, make a hypothesis by multiplying two rational numbers.

Then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.
2.What do you think the product of a nonzero rational number and an irrational number is? Is it rational or irrational? Make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.

3.Why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and irrational number is? If the rational number were 0, would it give us the same result we found in part B?


I WILL GIVE BRAINLIEST ANSWER TO SOMEONE WHO ACTUALLY ANSWER THE QUESTION THE RIGHT WAY
Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer:

irrational lol 2 whole years

later

Step-by-step explanation:

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5. Solve the equation z^2 + 4z - 9 = 0 by completing the square.
Luba_88 [7]

Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

0=z2+4z−9

Step 1: Subtract z^2+4z-9 from both sides.

0−(z2+4z−9)=z2+4z−9−(z2+4z−9)

−z2−4z+9=0

For this equation: a=-1, b=-4, c=9

−1z2+−4z+9=0

Step 2: Use quadratic formula with a=-1, b=-4, c=9.

z=

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2a

z=

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8 0
3 years ago
The left side of a solid block is held at a constant temperature of 200°C. The temperature profile within the block is given by
Nikitich [7]

Answer:

with T = 50⁰C, we have:

50 = 200 - 5x - x²

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=> x = 10

6 0
3 years ago
Evaluate the six trigonometric functions of the angle 0.
Arturiano [62]

Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

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Opposite side to θ = ?

Using Pythagoras theorem:

\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2

18^2 =10^2+\text{opposite}^2

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Subtract 100 from both sides.

224=\text{opposite}^2

Taking square root on both sides.

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Using trigonometric ratio formula:

$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}

$\sin\theta =\frac{4\sqrt{14} }{18}

$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}

$\csc\theta =\frac{18}{4\sqrt{14} }

$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}

$\cos \theta=\frac{10}{18}

$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}

$\sec \theta=\frac{18 }{10}

$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}

$\tan \theta=\frac{4\sqrt{14} }{10}

$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}

$\cot \theta=\frac{10}{4\sqrt{14} }

8 0
3 years ago
tony is taking a 5 year loan in the amount of $15,000. The interest is continuously compounded at an annual rate of 7%. How much
kobusy [5.1K]

Answer:

$21,038.28

Step-by-step explanation:

Use the equation 15000(1.07)^5 since 1.07 equals to 7% and you are loaning more money to Tony's account for 5 years.  You should get $21,038.28 as your result.

7 0
3 years ago
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To get the value of an expression you add
frez [133]
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6 0
3 years ago
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