B. Triangle B and Triangle D
Triangle A has all equal sides and Triangle C is a right triangle.
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
Answer: 6
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Remark
The two angles with x in their numerical value are added to get 108
Solution
10x + 2 + 4x + 8 = 108 Collect like terms
14x + 10 = 108 Subtract l0 from both sides.
14x + 10 -10 = 108 - 10 Collect like terms
14x = 98 Divide by 14
x = 98/14
x = 7
Answer:
The value of b = 1/36
As exponent decreases, each previous value is divided by 6
If the table was extended, the value of 6^-3 would be 1/216
Step-by-step explanation:
Given in the question a table containing power of 6
We will use negative rule of exponent to write the equivalent of negative power of 6
b^{-n}= 1 / b^{n}
we know that
so
= 1/6
and
So,
=
