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maw [93]
3 years ago
14

Three vertices of a rectangle have coordinates (3,4), (5,−4), and (−7,−7). Determine the fourth vertex of the rectangle and then

graph the rectangle on the coordinate plane.
Mathematics
1 answer:
Ket [755]3 years ago
7 0
The fourth vertex would be at point (-9,1).
The slope from (5,-4) to (3,4) is -8/2 or -4.
So I did that with (-7,-7) to the fourth vertex to get the answer.
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Write the equation of a line perpendicular to 5x - 7y =-6 that passes through the point (-5,6)
Likurg_2 [28]

9514 1404 393

Answer:

  7x +5y = -5

Step-by-step explanation:

You can find the perpendicular line by swapping the x- and y-coefficients, and negating one of them. The new constant can be found by using the given point.

  7x +5y = 7(-5) +5(6) = -5

The perpendicular line through (-5, 6) is ...

  7x +5y = -5

3 0
3 years ago
A parachutist's speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At this speed
Darya [45]

Answer:

Speed of the parachutist is meters per second 2.083 meter per second

Distance travelled in 2 seconds 4.167 meter

Step-by-step explanation:

Speed of the parachutist is kilometers per hour = 180

Speed of the parachutist is meters per second \frac{180*1000}{24*60*60} = 2.083 meter per second

Distance travelled in 2 seconds 2.083 *2 = 4.167 meter

8 0
2 years ago
Consider the degree 5 polynomial function P(x)=x^5-4x^3+2x^2+3x-5. You do not need to factor this polynomial to answer the quest
olga2289 [7]

Answer:

5.

Step-by-step explanation:

According to the Linear Factorization Theorem, a polynomial function will have the same number of factors as its degree. We also know that these factors will have the form (x - c) where c is a complex number.

In this problem, and without factoring the polynomial, we observe that the <u>polynomial function is a 5 degree function so we can know that it will have 5 linear factors. </u>

<u />

3 0
2 years ago
-5 1/2 - 4 1/4 + 6 3/4
ruslelena [56]

Answer:

-3

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

-5\frac{1}{2} - 4\frac{1}{4} +6 \frac{3}{4} = -5\frac{2}{4} - 4\frac{1}{4} +6 \frac{3}{4} = -9\frac{3}{4} +6\frac{3}{4}=-3

5 0
3 years ago
What is the equation, in point-slope form, for a line that goes through (8, −4) and has a slope of −5/6 ?
horrorfan [7]

Point-slope form, y-y1 = m(x-x1)

(y-(-4)) = -5/6 (x-8)

y+4 = -5x/6+20/3

y = -5x/6+20/3 - 4

y = -5x/6 + 8/3

6 0
2 years ago
Read 2 more answers
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