(4x-3)(x+5)
= 4x^2+20x-3x-15
= 4x^2+ 17x -15.
The final answer is 4x^2+ 17x -15~
Answer:
D
Step-by-step explanation:
Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.
To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.
Keep in mind that these points are only roughly placed on the map.
But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.
To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.
47 - 35 = 12
To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.
122 - 78 = 44
I assume that the answer you should pick is D. (12, 44)
However, that doesn't exactly answer the question... it's worded a little weirdly.
To solve the rest of the equation, do the following:
Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.
a^2 + b^2 = c^2
12^2 + 44^2 = c^2
144 + 1936 = c^2
2080 = c^2
c =
c = 45.61
The answer is 45.61 units.
Answer:
Step-by-step explanation: 40 newtons to the right
Answer:
The origination fee on a mortgage of $400,000 is $7,000.
Step-by-step explanation:
Here, the mortgage value = $400,000
The origination fee = 1.75%
Now, the origination fee is calculated on the amount mortgaged.
⇒ 1.75 % of ($400,00) = Origination Fee
Now, 1.75 % of ($400,00) =
or, 1.75 % of ($400,00) = $ 7,000
Hence, the origination fee on a mortgage of $400,000 is $7,000.
Numbers 5 and over round up to the nearest 10. Numbers like 164 would found to the nearest 10 of 160 because the last number (unit) is below 5, so it rounds down. I hope this helps but you can find tutorials on google good luck!