Answer:
k=-1/5
Step-by-step explanation:
Factor and set each factor equal to zero.
Add 3 to both sides of the equation.
75k^2+30k+3=0
Factor 3 out of 75k^2+30k+3.
Factor using the perfect square rule.
Divide each term by 3 and simplify.
Set the 5k+1 equal to 0.
Solve for k.
Answer:
Option A: 12
Step-by-step explanation:
From the image of the triangle given, we can see that:
XM = ZM
We are given that:
XM = 2x + 2 and ZM = 4x - 8
Thus;
2x + 2 = 4x - 8
Rearrange to get;
4x - 2x = 8 + 2
2x = 10
x = 10/2
x = 5
Thus, XM = 2(5) + 2
XM = 12
The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
<h3>
Properties of a Parallelogram</h3>
- The opposite sides of a parallelogram are parallel to each other and are also of equal lengths.
- Diagonals of a parallelogram are congruent to each other and also bisect each other into equal halves.
Therefore:
ON = LM
Substitute
7x - 5 = 6x + 4
Add like terms
7x - 6x = 5 + 4
x = 9
OL = NM
Substitute
8y + 3 = x + 6
Plug in the value of x
8y + 3 = 9 + 6
8y + 3 = 15
8y = 15 - 3
8y = 12
y = 12/8
y = 1.5
Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.
Learn more about parallelogram on:
brainly.com/question/7200842
Answer:
True
Step-by-step explanation:
The definition of diameter is "a straight line passing from side to side through the center of a body or figure, especially a circle or sphere."
The answer would be that the dot falls on the point (0,4)