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Kitty [74]
3 years ago
13

Find the values of x and y that make these triangles congruent by the HL Theorem.

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
Can you please post a picture of the figure? I don’t see anything
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I really don't know where to go with this. I just need help with it fast. because idk what I'm doing I'm giving max points.
kow [346]
Y=ax+b
a... slope
b... interception on the line y

you get the equation y=-1/2 *x + 12
6 0
3 years ago
Read 2 more answers
I don’t understand :(
viktelen [127]

Answer:

The quotient when x^3-4x^2-8x+8 is divided by x+2 is x^2-6x+4 with no remainder, so x+2 is a factor of p(x).

Step-by-step explanation:

As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form (x-a). In this case, we may use synthetic division, since x+2 is equal to x-(-2). I will use synthetic division here as it is slightly faster than long division.

The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.

The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.

Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.

This is the answer: the quotient is x^2-6x+4, and the remainder is zero (which indicates that x+2 is a factor of p(x)).

--

Edit: long division

We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since x \times x^2 is equal to x^3, the first term in the quotient will be x^2. Since x^2 \times (x+2) is equal to x^3+2x^2, we must now subtract that from x^3-4x^2-8x+8.

We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.

<em>I know this might be difficult to follow, so please comment if you have any questions.</em>

4 0
3 years ago
What is the base 8 representation of 112
Andreas93 [3]
Solution Step1 Converting 112 to base 10.
1*82=64
1*81=8
2*80=2
Adding all to get Ans=7410 <span>Step2 converting 7410 to 2</span> The equation calculation formula for 7410 number to 2 is like this below.
2|74 
2|37|0
2|18|1
2|9|0
2|4|1
2|2|0
2|1|0
2|1|1
<span>Ans:10010102</span> 

3 0
3 years ago
Read 2 more answers
If f(x)=√x+12 and g(x)=2√x, what is the value of (f – g)(144)?
BaLLatris [955]
I hope this helps you

3 0
3 years ago
Can you guys check my work pls?
alex41 [277]
Hey number 8. Be super careful, less than always look at that it should be 5n-3
3 0
3 years ago
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