Answer:
(0, -6)
Step-by-step explanation:
Given the following systems of linear equations;
3x - 2y = 12 ...... equation 1
16x - 4y = 24 ........ equation 2
We would solve for the solution using the elimination method;
Multiplying eqn 1 by 2, we have;
2 * (3x - 2y = 12)
6x - 4y = 24
16x - 4y = 24
Subtracting the two equations, we have;
(6x - 16x) + (-4y -[-4y]) = (24 - 24)
-10x - 0 = 0
-10x = 0
x = -0/10 = 0
Next, we would find the value of y;
3x - 2y = 12
3(0) - 2y = 12
0 - 2y = 12
-2y = 12
y = -12/2
y = -6
Check:
3x - 2y = 12
3(0) - 2(-6) = 12
0 - (-12) = 12
12 = 12
Note: the options provided for this questions are incorrect or inappropriate.
Answer:
Step-by-step explanation:
<u>Given points:</u>
- A(-1, -9) and M(0.5, -2.5)
Let the coordinates of B are (x, y)
<u>Use midpoint formula to determine the point B:</u>
- 0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2
- -2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4
Answer:
will be the fraction.
Step-by-step explanation:
Here the recurring decimal number is 0.0343434....
To convert this recurring decimal to fraction we assume,
x = 0.03434.... -------(1)
Now multiply both the sides with 100.
100x = 3.43434.... ------(2)
Now subtract equation (1) from equation (2).
100x = 3.43434
<u> x = 0.03434</u>
99x = 3.4
x = 
= 
x = 
Therefore, fraction that represents the decimal number is 
Answer:
k = 10
Step-by-step explanation:
The triangles angels added up must equal 180 degrees, and the top angle is 65 degrees by the 180 degree rule.
So 10k + 15 must equal the remaining 115
subtract 15 from each side and you get 10k = 100
divide each each by 10 and you get the answer of k = 10
Answer:
11:00 am< 6
84>6
Step-by-step explanation: