What is the answer to this hard question -5k - 19 = 5 -13k

Mathematics

2 answers:

Gwar [14]4 years ago

3 0

You are trying to solve for k (get k by itself)

-5k - 19 = 5 - 13k Add 19 on both sides

-5k - 19 + 19 = 5 - 13k + 19

-5k = 24 - 13k Add 13k on both sides

-5k + 13k = 24 - 13k + 13k

8k = 24 Divide 8 on both sides

k = 3

lara [203]4 years ago

3 0

Answer:

k=3

Step-by-step explanation:

you move -13k to the right by adding it to the -5k to make 8k

next you move the "-19" by adding it to the 5 in the right side

now you have 8k=24

you divide the 24 by the eight and get k=3

Hope this helped! =3

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Please find the exact length of the midsegment of trapezoid JKLM with vertices J(6, 10), K(10, 6), L(8, 2), and M(2, 2). Thank y

I am Lyosha [343]

Answer:

the exact length of the midsegment of trapezoid JKLM = $\mathbf{ = 3 \sqrt{5} }$ i.e 6.708 units on the graph

Step-by-step explanation:

From the diagram attached below; we can see a graphical representation showing the mid-segment of the trapezoid JKLM. The mid-segment is located at the line parallel to the sides of the trapezoid. However; these mid-segments are X and Y found on the line JK and LM respectively from the graph.

Using the expression for midpoints between two points to determine the exact length of the mid-segment ; we have:

$\mathbf{ YX = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }$