For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis.
According to the statement data we have:
So, the equation is of the form:
Answer:
Answer:
10
Step-by-step explanation:
1+6=7
7-2=5
5+5=10
Answer:
D, B, B
Step-by-step explanation:
Question 1: D
We need to solve for x.
z = 2π * (x / y)¹/²
z = 2π * (x¹/² / y¹/²)
z = 2π * (√x / √y)
z = √x * 2π / √y
√x = √y * (z / 2π)
x = y(z /2π)²
Question 2: B
(x⁵ + x⁴) / (x³ + x²)
= x⁴(x + 1) / x²(x + 1)
= x⁴ / x² = x⁽⁴⁻²⁾ = x²
Question 3: B
Let's try out A. Substituting p = 1, q = 1:
√1 * √1 = √(1 + 1)
1 * 1 = √2
1 = √2 FALSE
Let's try B. Substituting p = 2, q = 2:
√2 * √2 = √(2 + 2)
√4 = √4 TRUE so the answer is B.
<h3>
Answer: x = 12</h3>
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Explanation:
The hexagon is broken up into 6 congruent or identical equilateral triangles. If we find the area of one triangle, then we multiply by 6 to get the area of the hexagon.
Going in reverse, we divide the hexagon's area by 6 to get the area of one equilateral triangle
We're told the hexagon has an area of square inches. Divide this by 6 and you should get the result . So each of the six equilateral triangles has area of square inches.
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Each triangle has a base of and a height of
The x/12 and x/6 are exponents.
Let and be the base and height respectively.
Also, let be the area of the triangle
We can then solve for x like so:
Since the bases are equal to 3, this means the exponents must be equal as well (for both sides overall to be equal)
3/2 = x/8
3*8 = 2*x ... cross multiply
24 = 2x
2x = 24
x = 24/2
x = 12
Find the area of the parallelogram, find the area of the triangle, then subtract the triangle's area from the area of the parallelogram.
Area of Parallelogram:
A= base * height
A= 20 in * 10 in
A= 200 in^2
Area of Triangle:
A= 1/2 base * height
A= 1/2 (10 in)(9 in)
A= 1/2 (90)
A= 45 in ^2
Area of Poster Left:
subtract the difference
A= Parallelogram Area - Triangle Area
A= 200 in^2 - 45 in^2
A= 155 in^2
ANSWER: 155 in^2 is the area of the poster board she has left.
Hope this helps! :)