Answer:

Step-by-step explanation:
Graph of x=5 is vertical straight line parallel to y-axis and perpendicular to x-axis. The points on graph have the x-coordinate as 5 and y-coordinate varies.
Similarly, line parallel to x=5 or y-axis passing through point (-6,6), in that all the points have same x-coordinate as -6. So the equation of line will be x=-6
For simplicity of visualization graph of both the equation x=5 and x=-6 are attached.
4x² - 100 = 0
<u> + 100 + 100</u>
<u> 4x²</u> = <u>100</u>
4 4
x² = 25
x = <u>+</u>5
4(5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
4(-5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
The roots of the equation is positive or negative 5.
The two rational expressions will be; (x + 2)/(x² - 36) and 1/(x² + 6x)
<h3>How to simplify Quadratic Expressions?</h3>
We want to determine the two rational expressions whose difference completes the equation.
The two rational expressions will be;
(x + 2)/(x² - 36) and 1/(x² + 6x)
Now, this can be proved as follows;
Step 2 [(x + 2)/(x² - 36)] - [1/(x² + 6)]
= [(x + 2)/(x + 6)(x - 6)] - [1/(x(x + 6)]
Step 3; By subtracting, we have;
[x(x + 2) - (x - 6)]/[x(x + 6)(x - 6)]
Step 4; By further simplification of step 3, we have;
[x² + x + 6]/[x(x-6)(x + 6)]
Read more about Quadratic Expressions at; brainly.com/question/1214333
#SPJ1
Answer:
=5w3+8w2−10w+2
Step-by-step explanation:
Simplify
1
Distribute
2
(
2
+
3
−
5
)
+
3
3
+
2
(
2
+
1
)
2
3
+
6
2
−
1
0
+
3
3
+
2
(
2
+
1
)
2
Distribute
2
3
+
6
2
−
1
0
+
3
3
+
2
(
2
+
1
)
2
3
+
6
2
−
1
0
+
3
3
+
2
2
+
2
3
Combine like terms
2
3
+
6
2
−
1
0
+
3
3
+
2
2
+
2
5
3
+
6
2
−
1
0
+
2
2
+
2
4
Combine like terms
5
3
+
6
2
−
1
0
+
2
2
+
2
5
3
+
8
2
−
1
0
+
2
sorry if it don't make sense ;c