Answer:
The correct option is D.
Step-by-step explanation:
The slope of a line is the change in y with respect to x.
If the slope of a line is undefined it means it is a vertical line and a vertical line can not passes through three quadrants. So, option A is incorrect.
If the slope of a line is 0 it means it is a horizontal line and a horizontal line can not passes through three quadrants. So, option B is incorrect.
If the slope of a line is positive it means the value of y increases as x increases.
Since it is an increasing line, therefore after a certain period both x and y will positive. It means the line will passes through first quadrant. So, option C is incorrect.
If the slope of a line is negative it means the value of y decreases as x increases. It can passes through each of Quadrants II, III, and IV.
Therefore the correct option is D.
Answer:
-4
Step-by-step explanation:
Two legs of the triangle are congruent as shown by the tick marks. This means that this is an isosceles triangle; in an isosceles triangle, the two base angles are also congruent. Which means <A and <B are congruent.
So to solve for x, set 28 and 10x+68 equal to each other.
28=10x+68
First, subtract 68 from both sides
-40=10x
Then, divide both sides by 10
-4=x
If you want to check your answer plug -4 back into the original equation.
28=10(-4)+68
28=-40+68
28=28, which is true, therefore -4 is correct.
Answer:
The answer is y = 3(4)^x or answer choice C
The correct answer is 36 - there are 36 more beef cattle on the farm
than dairy cattle. We can work this out by multiplying 16 by 3 to get
48. 48 take 12 is 36. 16 is one fourth, 24 is two thirds, which means
you then need to divide this by two to get 12, which means that 12 is
one third.
<h3><u>
The value of a is equal to 5.5</u></h3>
-22 = 11 - 6a
<em><u>Add 6a to both sides.</u></em>
6a - 22 = 11
<em><u>Add 22 to both sides.</u></em>
6a = 33
<em><u>Divide both sides by 6.</u></em>
a = 5.5
