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anastassius [24]
2 years ago
13

What is the equation of the line that passes through the point (6, 4) and has a slope of -2/3

Mathematics
1 answer:
ozzi2 years ago
4 0
The equation would be y = -2/3x + 8
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Directions: Complete all 3 questions. Make sure you include a graph, work and conclusion.
Simora [160]

Prove that the quadrilateral whose vertices are I(-2,3), J(2,6), K(7,6), and L(3, 3) is a rhombus.

I think in these problems the first step is to express each side as a vector.  A vector is the difference between points.  When two sides have the same vector (or negatives) it means they're parallel and congruent.  So in a rhombus IJKL the vectors IJ and LK should be the same, as should JK and IL.  That much assures a parallelogram; we check IJ and JK are congruent to complete the crowing of the rhombus.

Let's calculate these vectors:

IJ = J - I = (2,6) - (-2,3) = (2 - -2, 6 - 3) = (4, 3)

LK = K - L = (7, 6) - (3, 3) = (4, 3)

IJ = LK, so far so good

(Note: If you haven't got to vectors yet you can just show the two sides are the same length, 5, and have the same slope, 3/4, both of which can be read off the vectors.)

JK = K - J = (7,6) - (2,6) = (5,0)

IL = L - I = (3, 3) - (-2, 3)  = (5, 0)

Those are the same too.    

Now we have to show IJ ≅ JK

The length of IJ is the cliche √4²+3² = 5, the same as JK, so IJ ≅ JK

We showed all four sides are congruent and we have two pair of parallel sides, so we have a rhombus.

8 0
3 years ago
Meagan is taking piano and gymnastics lessons. She has a piano lesson every 13 days and a gymnastics lesson every 6 days. When w
liraira [26]

the answer is 2

there are 13 days, 6x2=12. so the answer is 2.

6 0
3 years ago
- The position of an object moving in a straight line
Misha Larkins [42]

Answer:

s(t) = 2t^2-3t

19 = 2t^2-3t

2t^2-3t-19=0

t = [3 +- sqrt(9-4*2*-19)]/4

t = [3 +- sqrt(161)]/4

t = [3 +- 12.6886]/4

Positive answer:

t = [3+12.6886]/4

t = 3.9221 seconds

Step-by-step explanation:

4 0
3 years ago
I WILL MARK THE BRAINIEST!!!!!!! WRONG ANSWER'S WILL BE REPORTED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
trasher [3.6K]
The correct answer should be choice A
5 0
2 years ago
Acellus
Kazeer [188]

Answer:

sorry dunno

Step-by-step explanation:

:c

6 0
3 years ago
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