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Natalka [10]
3 years ago
8

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3,-2), B(6,-2), C(6,5) and

D(3,5)
What is the area of ABCD?

**15 points to anyone who gets the question right**
Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

The area of ABCD is 21

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Round 101 to the nearest ten
Lesechka [4]
Is there a picture for the question
7 0
3 years ago
Please help! I've already answered part a, I don't understand what part b is asking.
Luba_88 [7]

Step-by-step explanation:

So, there is something known as a removable discontinuity, and it's essentially where you can define f(x) using the most simplified fraction, where you could normally not define f(x).

So we have the following equation:

f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}

As you may know, we cannot divide a number by the value of zero. When the denominator is equal to zero, on the graph this will appear as a vertical asymptote, where x approaches the value that makes the denominator zero, but never actually reaches it.

If you look at each denominator, you can set them equal to zero to find the vertical asymptotes

x+1 = 0

x=-1

There should be a vertical asymptote at x=-1, since it would make two of the denominators equal to -1, but let's divide the two fractions first.

Original Equation

f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}

Keep, change, flip

f(x) = (\frac{x+5}{x+1}*\frac{(x-4)(x+1)}{(x+3)(x-2)})-\frac{1}{x-2}

Multiply the two fractions

f(x) = (\frac{(x+5)(x-4)(x+1)}{(x+1)(x+3)(x-2)})-\frac{1}{x-2}

Notice how the x+1 is in the numerator and fraction? That means we can cancel it out!

f(x) = (\frac{(x+5)(x-4)}{(x+3)(x-2)})-\frac{1}{x-2}

In this simplified version of the fraction, we can technically define f(-1), but in the original version, since it's not defined there is a removable discontinuity at x=-1, meaning there is no vertical asymptote, but the function is still not defined at f(-1), and there will be a hole at that point.

4 0
2 years ago
Please Help!!<br><br> Write in exponential form.
Karo-lina-s [1.5K]

ANSWER

c.

5{e}^{i  \frac{5\pi}{3} }

EXPLANATION

The exponential form of complex numbers is given by;

z =r  {e}^{i \theta}

The given complex number in polar form is:

5( \cos( \frac{5\pi}{3} + i \sin( \frac{5\pi}{3})  )

We have r=5 from the question and

\theta =  \frac{5\pi}{3}

We substitute these values to obtain the exponential form:

z =5{e}^{i  \frac{5\pi}{3} }

The correct answer is C

4 0
3 years ago
What is the equation of the line that passes through (4, -1) and (-2, 3)?
Rina8888 [55]
Y=mx+b

m=slope, b=y-intercept 

m=(y2-y1)/(x2-x1), b=value of y when x=0

m=(3--1)/(-2-4)

m=4/-6

m=-2/3, now we have:

y=-2x/3+b, we can solve for b using any point, I'll use (4,-1)

-1=-2(4)/3+b

-1=-8/3+b

-3/3+8/3=b

5/3=b so

y=-2x/3+5/3
3 0
3 years ago
Read 2 more answers
What is y=6x^2+13x-8 in intercept form
Troyanec [42]
Quadratic function in intercept form is y=a(x-p)(x-q), p and q are the roots.
in this case, factor the expression first:
y=(3x+8)(2x-1)
factor out the coefficients of x: y=3(x+8/3)*2(x-1/2)
so the final answer is y=6(x+8/3)(x-1/2)
3 0
4 years ago
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