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Naya [18.7K]
4 years ago
7

Pls help! what is x² - 11x + 19 = -5 will mark brainliest

Mathematics
2 answers:
MissTica4 years ago
7 0

x^2-11x+19=-5\ \ \ \ |+5\\\\x^2-11x+24=0\\\\\text{find such a and b for which}\ a+b=-11\ \text{and}\ ab=24\\a=-8\ \text{and}\ b=-3\\\\x^2-8x-3x+24=0\\\\x(x-8)-3(x-8)=0\\\\(x-8)(x-3)+0\iff x-8=0\ \vee\ x-3=0\\\\\boxed{x=8\ \vee\ x=3}

sergey [27]4 years ago
5 0

To solve this quadratic, use factoring:

x^{2}-11x+19=-5 add 5 to both sides

x^{2} -11x+24=0 factor this into two binomials using factors 3 and 8 for 24

(x-3)(x-8)=0  for this to be a true statement either the first binomial factor or the second binomial factor must equal '0'..

so x=3 and x=8


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If d=5 and q=21, what is c equal to in the equation q=(c+d)/2?
natta225 [31]
Hello!

We will plug in these values.

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5 0
3 years ago
Students in a random sample of 57 students measured their handspan. The dot plots display the results for the males and females.
Nat2105 [25]

Answer:

There is a difference in mean hand span between male and female if you notice the difference between their averages.    2cm  is quite significant

female mean = 19.6 cm  and male mean = 21.6 cm

Step-by-step explanation:

a.)  There is a significant difference.

take  P( Z  < ( 19.6 - 21.6) / 1)  = P(Z < -2) = 2% probability of assuming that male and female means are the same.  too low to think like that.

b.) Differ by 2cm.  MAD=  Mean Absolute Deviation , MAD within their own data set  seem similar

C.)  The variability in hand spans among male and female are very similar, since they both have the same MAD = 1.0

7 0
4 years ago
The length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the wi
bixtya [17]

I hope choice must be given so that we can select which equation can be used to find its value.

I am showing the steps for this problem.

Given that, x represents the width of the rectangle and the perimeter of the rectangle is 28 inches.

Let's assume y represent the length of the rectangle.

Formula to find the perimeter of a rectangle is,

p= 2 * length + 2 * width.

Hence, we can set up an equation as following.

2 y + 2x = 28.

Hope this is your question, if not I think you will, still be able to

find an answer of your question based on this solution.

Hope this helps you!.

8 0
4 years ago
Read 2 more answers
In a 30-60-90 triangle, if the the side opposite 30 degrees has a length
son4ous [18]

Might Want to draw this and Its very long but Hope it helped :)

Answer:

The sides are all of the same length - let's say a. The angles are all the same too, and since the angles must add up to 180∘, we conclude that the three angles in the equilateral triangle are equal to 180∘/3=60∘.

Now we do something sneaky. We draw a line all the way down from the top vertex of the triangle to the midpoint of the bottom line.

This new line cuts our equilateral triangle in half. What are the angles in one half?

The angle at the bottom is 90∘.

One of the angles is the same as one of the angles in the original equilateral triangle, so it is 60∘.

So the third angle must be 180∘−90∘−60∘=30∘.

Now the hypotenuse of this new triangle is a, the side length of the equilateral triangle. And the length of the shortest side is a/2, since the line we drew cut the bottom line in half.

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Answer:

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