Step-by-step explanation:
(x - 8) (x + 8) = x² - 64
because
x² + 8x - 8x - 64
(a⁵)^-1 = 1/(a⁵)
that is the definition of a negative exponent. it means 1/...
So.. let's say ∡AGB and ∡BGC are say "a" units wide, and ∡CGD and ∡DGE are "b" units wide
notice the picture below
all angles added up together, will make up just a flat line, or 180°
now, notice in the picture, the ∡BGD is really just " a + b " wide, notice the green angle in the picture of ∡BGD, well, we know what a + b is
Answer:
86
Step-by-step explanation:
In this question, we are asked to calculate the average mean score for a group of students split into two different emerging groups.
We calculate the total score for each of the groups. This is done by multiplying the average score by the number of students.
Total score of section A is 15 * 80 = 1,200
For section B, total score is 20 * 90 = 1,800
Overall score is thus 1200 + 1800 = 3000
We add the scores together and divide by the total number of students in both sections
Average score is thus 3000/35 = 85.71 which is approximately 86
Answer:
y = -3.5x + 15
Step-by-step explanation:
Your slope-intercept equation is always y = mx + b
Using this formula, we need to find slope first: m = (y2-y1) / (x2-x1)
Step 1: Find slope
m = (1-8) / (4-2)
m = -7/2
Step 2: Plug in into slope-intercept form
y = -3.5x + b
Step 3: Find <em>b </em>(Plug in a coordinate given)
1 = -3.5(4) + b
1 = -14 + b
b = 15
Step 4: Combine it all together
y = -3.5x + 15
And you have your final answer.