9514 1404 393
Answer:
y = -x +5
Step-by-step explanation:
Solving the given equation for y, we have ...
y = x +4
The slope of this line is the coefficient of x: 1. The slope of the perpendicular line will be the opposite reciprocal of this: -1/1 = -1. The y-intercept of the perpendicular line can be found from ...
b = y -mx = 8 -(-1)(-3) = 5
The perpendicular line has equation ...
y = -x +5
Answer : 0.6
hope this helps !! ^-^
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
Answer:
Option A. Only Khaled
Step-by-step explanation:
To know which option is correct, we shall use the formula suggested by both Khaled and Wilma to see which will give the sequence given in the question.
For Khaled:
F(n) = 1 • 3ⁿ¯¹
n = 1
F(n) = 1 • 3ⁿ¯¹
F(1) = 1 • 3¹¯¹
F(1) = 1 • 3⁰
F(1) = 1 × 1
F(1) = 1
n = 2
F(n) = 1 • 3ⁿ¯¹
F(2) = 1 • 3²¯¹
F(2) = 1 • 3¹
F(2) = 1 × 3
F(2) = 3
n = 3
F(n) = 1 • 3ⁿ¯¹
F(3) = 1 • 3³¯¹
F(3) = 1 • 3²
F(3) = 1 × 9
F(3) = 9
For Wilma
F(n) = 1 • 3ⁿ
n = 1
F(n) = 1 • 3ⁿ
F(n) = 1 • 3¹
F(1) = 1 × 3
F(1) = 3
n = 2
F(n) = 1 • 3ⁿ
F(2) = 1 • 3²
F(2) = 1 × 9
F(2) = 9
n = 3
F(n) = 1 • 3ⁿ
F(3) = 1 • 3³
F(3) = 1 × 27
F(3) = 27
SUMMARY
Using Khaled's formula i.e F(n) = 1 • 3ⁿ¯¹ we obtained 1, 3, 9,..
Using Wilma's formula i.e F(n) = 1 • 3ⁿ
We obtained 3, 9, 27,..
Now, comparing the sequence obtained using the formula of both Khaled and Wilma, we can see that only the sequence of Khaled is the same with the one given in the question. Therefore, only Khaled's formula is correct.
We have the expression
; to find the common denominator we are going to decompose each one of the denominators into prime factors, and then we are going to multiply the common factors raised to the highest power and all the non common factors.
The denominators of our fractions are 3, 6, and 9. 3 is already a prime, so we are going to let that one alone. 6 on the other hand is divisible by tow, so it can be decomposed into tow prime factors 2 and 3:
.
9 is divisible by 3, so it can also be decomposed into tow prime factors 3 and 3:
.
We have a common factor 3 in all our denominators, and among them the one raised to the highest power is
. On the other hand we only have one non-common factor, 2. So, our common denominator will be:
Now we know that the common denominator of our standard form fraction is 18, the only thing left is convert the denominators of each one of our fractions to 18 and simplify. To do that we are going to divide the common denominator by the denominator of each fraction, and then multiply the quotient by each one of the numerators:
Answer:
