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2 years ago

6

Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of th

e rectangle are located at (2, 1), (2, 4), and (-4, 4). What are the coordinates of the fourth vertex of the rectangle

1 answer:

trasher [3.6K]2 years ago

4 0

Answer:

(-4, 1)

Step-by-step explanation:

If you draw it, that will make it easier.

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How many different primes are in the prime factorization of 65529009

Tems11 [23]

Answer:

6 different primes.

3, 7, 13, 29, 31 , 89.

Step-by-step explanation:

Try dividing by primes starting with 3:

3 ) 65529009

3 ) 21843003

7) 7281001

13) 1040143

29) 80011

31 ( 2759

89. 89 is a prime number.

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2 years ago

What’s the domain and range of y=x^2+2

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domain: all real numbers

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Step-by-step explanation:

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3 years ago

HELP 5TH GRADE QUESTION!!!

babymother [125]

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2 years ago

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Write the equation of a line that passes through the points (−3, 7) and (3, 3)

Dennis_Churaev [7]

Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of $y -a = m(x -b)$ where $(b,a)$ is the coordinates of a point that's on the line and $m$ is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose $(-3,7)$ where $a = 7$ and $b = -3$

$y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)$

The next thing we have to do now is finding the slope, $m$ , where it's equal to $\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\$ . I'll make $(-3,7)$ point 1 and $(3,3)$ point 2.

$m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}$

Now let's plug that to our equation.

$y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)$

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

$y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5$

<h3>Answer:</h3>

$y = -\frac{2}{3}x +5\\$ is your equation.

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2 years ago

In triangle QRS, QR is congruent to SR and RT bisects QS. What justification can you give for QRT congruent to SRT and give the

spayn [35]

<span>Since RT bisects QS, we have QT congruent to ST. Bisect means it cuts QS in half. The we have RT congruent to RT since it is the same. By SSS, we have triangle QRT congruent to triangle SRT since QT is congruent to ST, RT is congruent to RT, and QR is congruent to SR. Each side is congruent to its respective side in the other triangle and that is SSS (side, side, side).</span>

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2 years ago

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