Answer:
(-7,4)
Step-by-step explanation:
MN is 4/9 NP so
To find the x value
-19 and 8 are 27 apart and 27(4/9)=12
so you add 12 to the x value of P so 12+-19=-7 so the x value of N is -7
so the same for the y value
12 and -6 are 18 apart
18(4/9)=8 so you subtract 8 from the y value of P
12-8=4
so the y value N is 4
so N is
(-7,4)
These 3 problem I have answered have been almost the same except the numbers do you not understand how to do these problems and if not I can help you understand for the last question?
Answer:
(1.2, –4.7)
Step-by-step explanation:
Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)
Also, the ratio of A to B is 5:8
Based on this, the x and y coordinates at point C is
![= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}]](https://tex.z-dn.net/?f=%3D%20%5B%5Cfrac%7B5%5Ctimes%20%28-8%29%20%2B%208%5Ctimes%207%7D%7B5%20%2B%208%7D%20%2C%20%5Cfrac%7B5%5Ctimes%20%28-9%29%20%2B%208%5Ctimes%20-2%7D%7B5%20%2B%208%7D%5D%5C%5C%5C%5C%3D%20%5B%5Cfrac%7B16%7D%7B3%7D%2C%20%5Cfrac%7B-61%7D%7B13%7D%5D)
= (1.2, –4.7)
Hence, the x and y coordinates of point C is (1.2, –4.7)
Therefore the last option is correct
It will take them 6 hours to be 168 miles apart.
Answer:
remainder: -400
Explanation:
<u>divided </u><u>by x + 3</u>
<u>insert </u><u>x = -3 in the function</u>
Answer:
see explanation
Step-by-step explanation:
z - w
= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1
= 1 - 3i + 2 - 5i ← collect like terms
= 3 - 8i
------------------------------------------------------------
z × w
= (1 - 3i)(- 2 + 5i) ← expand using FOIL
= - 2 + 5i + 6i - 15i² [ i² = - 1 ]
= - 2 + 11i + 15
= 13 + 11i
