I think this problem gave the data for the radius of earth so that we will know the conversion ratio between statute miles and nautical miles. However, you can simply search that. There are 1.15 statute miles in 1 nautical mile. Hence,
Distance in nautical miles = <span>884884 statute miles * 1 nautical mile/1.15 statute miles
<em>Distance =769,464.35 nautical miles</em></span>
-5(x+7)<-10
-5x-35<-10
+35. +35
-4x<25
both divided by-4
x> -6.25
i flipped the sign because I divided with a negative number. and I hope you can make -6.25 into a fraction, I can't because I don't have a calculator with me :(
The answer is x = 62. YOU'RE WELCOME :D
Rachel is placing playing cards on a table by following these steps.
Step 1: First she places one card in the middle of the table.
Step 2: Next she adds one more card directly to the left, to the right, and below the first card.
Step 3: Next she adds one more card directly to the left, to the right, above, and below the cards that were already on the table. The cards form the pattern shown.
a. If Rachel continues the same pattern, how many cards will be on the table after Rachel completes Step 4?
b. Write the first 6 terms of the sequence that represents the total number of cards on the table after each step.
c. Describe the pattern in the sequence.
So the gradient is the negative reciprocal of the question so first you have to rearrange the equation into the form y = mx + c so you get 3y = - 5 x + 11 and then y = -5/3 x + 11/3. Now to find the gradient of the line perpendicular to it you do the negative reciprocal and get 3/5 x so now you have the equation y = 3/5 x + c . Now simply substitute your coordinate into the equation to get -2 = 3/5 x -2 + c and 3/5 x -2 is -1.2 so now you have 2 = -1.2 + c so c is 3.2 so your final equation is y = 3/5 x + 3.2 hope this helps :)