Answer:
point D: (2, -4)
Step-by-step explanation:
Step-by-step explanation:
According to Question , M is the midpoint of AN, A has coordinates (-7,4), and M has coordinates (-4, -1).
<u>Figure</u><u> </u><u>:</u><u>-</u>

Let the coordinates of N be ( x , y )
Now , according to Midpoint Formula , the midpoint of points say A(x , y) and B (x' , y') is given by ,
<u>On</u><u> </u><u>using</u><u> </u><u>this</u><u> </u><u>formula</u><u> </u><u>,</u><u> </u>

Answer: A. . Reflect triangle ABC across the x-axis, followed by a translation
5 units left.
Step-by-step explanation:
Answer:
A. the total amount of the budget given to the country
Step-by-step explanation:
In order to know the answer, you have to check what the<em> y-axis</em> represents. In the graph above, it represents the "Budget Remaining," which is expressed in <em>thousands of dollars. </em>On the other hand, the<em> x-axis</em> represents the "Time," which is expressed in<em> months</em>.
Point (0,18) shows the total amount of the budget for the Cultural Events in the country. It starts at 18,000 dollars and decreases as months pass by. This is shown by the graph's <em>"negative slope."</em> This means that<u> as the number of months increases, the amount of money decreases.</u>
Answer: x³-21x+20=0
Step-by-step explanation:
To find which polynomial has 1, 4, -5 as the roots, all we have to do is equal each root to 0 and multiply all factors together.
1 is (x-1)=0
4 is (x-4)=0
-5 is (x+5)=0
Now, we just multiply them together.
(x-1)(x-4)(x+5)=0 [FOIL]
(x²-4x-x+4)(x+5)=0 [combine like terms]
(x²-5x+4)(x+5)=0 [FOIL]
x³+5x²-5x²-25x+4x+20=0 [combine like terms]
x³-21x+20=0
Now we know x³-21x+20=0 is the polynomial with those roots.