Maximum can be determined by taking derivative and set it equal to zero.
Answer:
<h3>Q1</h3>
<u>Use slope formula</u>
- m = (y2 - y1)/(x2 - x1)
- m = (-2 - 6)/(3 - 7) = -8 / -4 = 2
- m = 2
<h3>Q2</h3>
Angles 2 and 6 are on the corresponding sides of the parallel lines, hence are corresponding angle
<u>Correct option is </u>
<h3>Q3</h3>
Congruent triangles have congruent corresponding parts
- ΔABC ≅ Δ GHI
- AB≅GH
- AB = GH = 13
<u>Correct choice is</u>
<h3>Q4</h3>
Option b is correct for any line and doesn't make the lines parallel. The rest of the options are correct for parallel lines.
<u>Correct option is the last one:</u>
We know that
see the picture to better understand the problem
in the right triangle ABC
Applying the Pythagoras Theorem
AB²=BC²+AC²-------> BC²=AB²-AC²
AB=8 ft
AC=4 ft
BC²=8²-4²-----> BC²=48--------> BC=√48-------> BC=6.93 ft
the answer is6.93 ft
Simplifying
8a + 12b = 92
Solving
8a + 12b = 92
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-12b' to each side of the equation.
8a + 12b + -12b = 92 + -12b
Combine like terms: 12b + -12b = 0
8a + 0 = 92 + -12b
8a = 92 + -12b
Divide each side by '8'.
a = 11.5 + -1.5b
Simplifying
a = 11.5 + -1.5b