Answer:
..........................................
Step-by-step explanation:
////////////////////////
Given:
The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).
To find:
Which type of triangle is ΔWXY by its sides.
Solution:
Distance formula:

Using distance formula, we get





Similarly,


Now,

So, triangle is an isosceles triangles.
and,





So, triangle is right angled triangle.
Therefore, the ΔWXY is an isosceles right angle triangle.
We let x be the length (in minutes) of a certain science class. 65% of this period is spent with the experiment which lasted for about 52 minutes. Mathematically, this can be expressed as,
52 = (0.65)(x)
The value of x from the generated equation is 80. Thus, the science class is 80 minutes long.
Answer:
15 inches
Step-by-step explanation:
42 = 2L + 2(6)
first, we need to isolate L.
solve 2(6) to make this easier
42 = 2L + 12
42 - 12 = 2L + 12 - 12 ( this cancels out 12. )
30 = 2L
30 ÷ 2 = 2L ÷ 2 ( this cancels out 2. )
15 = L
Answer:

Step-by-step explanation:
The given logarithmic expression is:

This is the same as:


We now apply the product rule to get:


We now apply the power rule to get;
