Answer:
The value of x is -3.
Explanation:
Given the equation:

Step 1: Distribute 4 in the left-hand side.

Step 2: Collect like terms.

Step 3: Divide both sides by 3.

The value of x is -3.
Answer:
<h2>
B. 6</h2>
Step-by-step explanation:
I'd like to begin by apologizing for the late reply.
PROCESS:
1) Begin by analyzing the triangle
2) Notice how you can take the sin of 30 to find the hypotenuse
3) sin30= 3/x
4) If you don't see how I did that, a fun trig word play for functions, is
S O/H
C A/H
T O/A
where
S= Sine
C= Cosine
T= Tangent
O= Opposite
H= Hypotenuse
A= Adjacent
so side opposite of 30 is side 3, and the hypotenuse is x.
5) sin30= 3/x = 6
6) Your answer, hypotenuse is 6
BONUS: If you want to find the base length, use Pythagorean theorem.
c=√a2+b2
b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2
Step-by-step Answer:
The coordinates of the mid-point of a segment whose end-points are known is the average of the coordinates of the end-points.
Here, the end-points are: (-11,0), (9,-1)
So the x-coordinate of the mid-point is (-11+9)/2 = (-2/2) = -1, and
the y-coordinate of the mid-point is (0-1)/2 = -0.5
So the mid-point is (-1,-0.5)
Check the numbers by plotting the point on the graph!
Answer:
D
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
4 + 6 > 9
Yes, these lengths can form a triangle.
3 + 4 > 2
Yes, these lengths can form a triangle.
2 + 2 > 3
Yes, these lengths can form a triangle.
1 + 1 = 2
No, these lengths cannot form a triangle.