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erastova [34]
3 years ago
10

What is this quadratic function in standard form? y=(x+7) (x−5) Enter your answer in the box.

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

y = x^2 +2x -35

Step-by-step explanation:

Multiply the binomials. The distributive property is helpful.

y = x(x -5) +7(x -5) . . . . the terms of the first binomial multiplied by the second

= x^2 -5x +7x -35 . . . . eliminate parenthses

y = x^2 +2x -35 . . . . . . collect terms

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PLS HELPPP 15 PTS!!!!!!!!!!!!
Natasha2012 [34]

Answer: 12.2

Step-by-step explanation:

4 0
3 years ago
In circle o,find the value of x, rounded to the nearest tenth.
Gemiola [76]

Answer:

\huge\boxed{x \approx 5.4}

Step-by-step explanation:

We can break down this problem by first realizing different parts of the circle.

  • The line which is 8 units long is a chord of the circle.
  • The line that is 3.6 is <em>almost</em> the radius of the circle
  • The line that x sits on is the radius.

With this, we can find out if we find the radius of the circle, we have our answer.

We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.

<em>What we need is a way to find the radius of the circle</em><em>. This will get us x</em>. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.

If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).

We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:

  • \displaystyle a^2 + b^2 = c^2

Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!

  • 3.6^2 + 4^2 = c^2
  • 12.96+16=c^2
  • 28.96=c^2
  • \sqrt{28.96} = c
  • 5.4 \approx c

Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.

The line X does just that. Therefore, the value of x is also 5.4.

Hope this helped!

4 0
3 years ago
Tell whether the angles are complementary or supplementary. Then find the value of x.
Genrish500 [490]

Answer:

x = 33

Step-by-step explanation:

Two angles are complementary as the sum of two angles is 90

x + 24 + x = 90        {Combine like terms}

  2x + 24 = 90      {Subtract 24 from both sides}

          2x  = 90 - 24

         2x   = 66

          x   = 66/2

         x = 33

7 0
3 years ago
Please choose all irational thx ^_^
lana66690 [7]

Answer:

Here is a note to help you: Most numbers are rational numbers. Here is how you know when a number is rational or not [especially if its a decimal].

Rational:

- Decimals are usually rational. Rational decimals my look like this:

1) 0.25

2) 0.333333333...

3) 0.234234234234234234...

The following above are rational because they either: terminate or repeat. That being said, 1) terminates, and 2) and 3) repeat because the pattern of 2) is just 3's, and the pattern of 3) is 0.234 over and over again.

Irrational:

- Irrational numbers are numbers that don't repeat, and don't terminate. The next examples are irrational:

1) 0.234536718092343...

2) 8.123456789023452574794832468...

3) 1723456.4356784794954233690422...

- They go on forever and ever, and don't have a pattern/terminate like rational numbers.

Now that you've got that in the bag, its time for your answers!

Step-by-step explanation:

A) rational --> It has a pattern, but does not terminate

B) rational --> It terminates

C) irrational --> it does not have a pattern, even if it does terminate

D) rational --> when you solve it, the answer is 2, and 2 is rational

E) irrational --> it does not have a pattern, but does terminate

I hope I helped you! This took forever, but it was worth it! :D

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

<u></u>

6 0
3 years ago
Can u help me pls <br>I will choose the best one <br>​
boyakko [2]

Answer:

12 and 30

Step-by-step explanation:

I think the best answer is 12 and 30.

I hope it will help u...

4 0
3 years ago
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