Answer:
D
Step-by-step explanation:
Here, we want to get the equation of the line perpendicular to;
y = -3x + 2
From here, we can compare with the standard form of the equation of a straight line which is;
y = mx + c
From here m = -3
The slope is -3
Now, if two lines are perpendicular, the product of their slopes is -1
Thus;
-3 * m = -1
m = 1/3
So we want to select an equation out of the options that has a slope of 1/3
Let us take a look at the last option
x -3y = 3
3y = x-3
divide through by 3
y = x/3-1
So here the coefficient of x is 1/3 which is the slope of the perpendicular line that we are looking for and is our slope
Answer:
Right
Step-by-step explanation:
Answer:
a joke? someone who jokes around?
Answer:
640 units squared
Step-by-step explanation:
The shape below is a trapezoid.
The formula for the area of a trapezoid is average of the bases times the height.
The bases are the parallel lines that make up 2 of the sides of the trapezoid.
The height is the line dotted line that creates right angles and is the distance between the two bases.
The bases are 24 and 40.
To find the average, we add them together and divide by 2
(24+40)/2=64/2=32
Now, we multiply 32 by the height, which is given as the length of 20.
32*20=640
the area of the trapezoid is 640 units squared
Hope this helps!
When reading a question, you need to be aware of the numbers presented and the facts. You need to pay attention to the question - what, when, where, how, why or how much. What is being asked in the question is always your clue. Unnecessary information will be eliminated once you understand the question.
Simple example from a Business book:
Jessica Fernandez, manager of Subway, had a bank balance of $5382.12 on March 1. During March, she deposited $60,375.82 received from sales, $3280.18 received as credits from suppliers, and $75.53 as a county tax refund. She paid out $27,282.75 to suppliers, $4280.83 for rent and utilities, and $12,252.23 for salaries and miscellaneous. How much did Fernandez deposit in March?
Answer:
$60,375.82 (sales) + $3280.18 (credits) + $75.53 (refund) = $63,731.53
Fernandez deposit $63,731.53 in March.
The question immediately lead you to the sentence that is the key to the answer.
It is pretty obvious but try to recognize the important facts from the rest.
The question did not ask about Jessica's balance on March 1 or did not ask about how much she pay out. You can immediately eliminate that those information are not necessary to the problem being asked. The question is how much did she deposit in March. You need to find the sentence that points out the answer - During March, she deposited $60,375.82 received from sales, $3280.18 received as credits from suppliers, and $75.53 as a county tax refund. List all the numbers and add them together and you will come up with the figures she deposited. It is just a simple question but it presented the technique for the elimination process of unnecessary facts. It is not "we cannot see the answer" but the truth is we cannot see and understand the question.
