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2 years ago

I need help with this. What is the answer?

Mathematics

1 answer:

e-lub [12.9K]2 years ago

8 0

Answer:

The answer is 30 because that triangle is a right triangle which is 90 degrees and then divide it by 3

Step-by-step explanation:

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Prove that if one solution for a quadratic equation of theform x2 + bx + c = 0 is rational (where b and c are rational),then the

Elenna [48]

Answer:

The other solution of the given equation x² + bx + c = 0 is also rational number.

Step-by-step explanation:

Here, given: ax² + bx + c = 0 is a quadratic equation

Also, one solution (r) of equation is RATIONAL.

To show: The other solution (s) is also RATIONAL

Now, here: as x² + bx + c = 0

Since r and s are the two given solutions, the given equation can be factorized as:

x² + bx + c = (x -r) (x - s)

Simplifying LHS, we get:

(x -r) (x - s) = x x - r (x) - s (x) + (r)(s)

= x² + x(-r - s) + rs

or, x² + bx + c = x² + x(-r - s) + rs

Comparing the related terms, we get:

b = (-r - s)

⇒ b + s = - r

or, s = -r - b

Now, given : r = Rational and the negative of a rational is also rational.

⇒ -r is also rational

Also, difference of two rational number is also rational.

⇒ -r - b is also rational

⇒ s is a RATIONAL NUMBER

Hence, the other solution of the given equation x² + bx + c = 0 is also rational number.

7 0

3 years ago

382 milliliters equals to how many liters

Ivan

The answer is 0.382 a liter

3 0

2 years ago

Read 2 more answers

If the basic measuring unit in base-7 is 49 circles, what does the measuring unit of size .001seven look like

Serjik [45]

The measuring unit is the standard unit of a quantity

The measuring unit of size 0.001 is represented by one millionth circle

<h3>How to determine the unit of base 0.001</h3>

The basic measuring unit in base 7 is given as:

49 circles

The above can be represented as:

Base 7 = 49 circles

Represent the base with n.

So, we have the following rule

$Circle = n^2$

For measuring unit 0.001, we have:

$Circle = 0.001^2$

Evaluate the square

$Circle = 0.000001$

This means that,

The measuring unit of size 0.001 is represented by one millionth circle

Read more about measuring units at:

brainly.com/question/16393390

8 0

2 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-5y= -30

anastassius [24]

Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

$3x-5y=-30$

Move the -3x to the right side

$-5y=-3x-30$

Divide both sides by -5

$y=\dfrac{3}{5}x+6$

This should be your answer, let me know if you need any clarifications, thanks!

5 0

2 years ago

Read 2 more answers

A water tank is 1/8 full the tank is 3/4 full when 42 gallons are added to the tank how much water was originally in the tank

masha68 [24]

<span>A water tank is 1/8 full. The tank is 3/4 full when 42 gallons are added to the tank. How much water was originally in the tank? (I rewrote it, your wording was messed up)

3/4 = 6/8
1/8 + 6/8 = 7/8 = 42 gallons
42 divided by 8 = 5 1/4

So, the answer is 5 1/4. The tank originally 5.25 gallons of water.</span>

8 0

2 years ago