Answer:
k = -3 or 5
Step-by-step explanation:
The given parameters are;
The line extends from points (-1, 1) to point (2, k)
The length of the line = 5 units
The formula for the length, l, of a line given its coordinates can be found by the following formula;
Therefore, we have;
Which, by squaring both sides, gives;
25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²
25 = (k - 1)² + 3² = k² - 2·k + 1 + 9
25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15
0 = k² - 2·k - 15
0 = (k +3) × (k - 5)
Therefore, k = -3 or 5
When k - -3, we have;
When k = 5, we have;
Answer:
z=20
Step-by-step explanation:
(2z + 16) +124 =180
2z + 16 +124
2z + 140 = 180
2z -140 -140
2z = 40
z = 20
<span><u><em>Answer:</em></u>
I, II and III.
<span>
<u><em>Explanation:</em></u>
<u>An isometry is</u> a transformation that preserves the size of the pre-image in the image and the corresponding angles and sides are also congruent.
<u>In each one of the images</u>, the figure given is he same size as the pre-image and The corresponding angles and corresponding sides are congruent; therefore they are all isometries. </span></span>
Answer:
Step-by-step explanation: . Paid to the painter for 12 hrs=Rs.360........therefore,......amt paid for 1 hr=360/12=30......... Therefore,.....amt paid for 9 hrs=9*30=Rs.270........hope i helped u:)
There is no graph, and what girls are you talking about? I need more information.
