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Anestetic [448]
3 years ago
10

The table shows the solution to the equation |2x - 4| - 3 = 3:

Mathematics
1 answer:
dimaraw [331]3 years ago
8 0

Answer:

Step 1

Step-by-step explanation:

Step one is incorrect because you need to add 3 but it subtracted.

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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
What is the standard form of the number shown in this calculator display?
kicyunya [14]

Answer:

5.93 × 10-5

Step-by-step explanation:

4 0
1 year ago
Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an
vazorg [7]
0.15(34) = x......with x representing what they will save
3 0
3 years ago
Read 2 more answers
A ratio of boys to girls in the classroom is 4 to 5if there are 20 girls in the class how many boys would there be? Explain your
sergey [27]
16 because 5 times 4 = 20 there for you multiply 4 times 4 to get 16
6 0
2 years ago
Read 2 more answers
The common point between lines y = 2x + 5 and y = ½ x + 6 is (3, 1/2). true or false
mixer [17]
The common point between y = 2x + 5 and y = (1/2)x + 6 will have the same values for x and y.

Therefore, set the two y expressions equal to obtain
2x + 5 = (1/2)x + 6

Subtract (1/2)x from each side.
(3/2)x + 5 = 6

Subtract 5 from each side.
(3/2)x = 1

Multiply each side by 2/3.
x = 2/3.

From the first equation, obtain
y = 2*(2/3) + 5 = 19/3.

The common point is (2/3, 19/3). It is not equal to (3, 1/2).

Answer: False
5 0
2 years ago
Read 2 more answers
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