Answer:
Find a reciprocal.
Step-by-step explanation:
ex: If you have 5/6 divided by 3/7 you would flip the 3/7 so it's 7/3 so then you can simply multiply them. REMEMBER YOU CANNOT DIVIDE FRACTIONS. YOU MUST CHANGE THE PROBLEM INTO MULTIPLICATION FIRST!!!
1) gradient of line = Δ y ÷ Δ x
= (5 -2) ÷ (3 - (-6))
= ¹/₃
using the point-slope form (y-y₁) = m(x-x₁)
using (3,5)
(y - 5) = ¹/₃ (x -3)
y - 5 = ¹/₃x - 1
⇒ <span> y = ¹/₃ x + 4 [OPTION D]
</span>2) y = 2x + 5 .... (1)
<span> </span>y = ¹/₂ x + 6 .... (2)
by substituting y in (1) for y in (2)
2x + 5 = ¹/₂ x + 6
³/₂ x = 1
x = ²/₃
by substituting found x (2)
y = ¹/₂ (²/₃) + 6
y = ¹⁹/₃
∴ common point is (²/₃ , ¹⁹/₃) thus answer is FALSE [OPTION B]
3) Yes [OPTION A]
This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.
4) No [OPTION B]
Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other. Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.
The correct answer is B: 2,4,5, 10
We know that 100 is not divisible by 3 because 100/3 is 33.33 repeating, which is an irrational number.
We also know that 100 is not divisible by 6 because 100/6 is 16.66 repeating which is also an irrational number.
100/2=50 (rational)
100/4=25 (rational)
100/5=20 (rational)
100/10=20 (rational)
Hope this helps!
Answer:
i cannot help you get the answer to the question without more information but i can explain how to solve it, what your question is, is called a "permutation"
Step-by-step explanation:
To calculate permutations, use the equation nPr, where n is the total number of choices and r is the amount of items being selected. To solve this equation, use the equation nPr = n! / (n - r)! , an exclimation point means the factorial, say we need the factorial of 4, we would do this 4x3x2x1 go left to right, and it is not all at once. you multiply 4 times 3 which equals 12, then multiply 12 times 2... so on and so forth
Which parabola?
Equation of the parabola
y - y1 = 4p(x - x1)
The Vertex of the parabola given is (0, 0) because it does not have the values of x1 and y1.
Then Vertex = (0,0)
-Look for two values of y to the left and two points to the right.
You can choose the points that you which
x y
-3 y = -(-3)^2 = -9
-1 y = -(-1)^2 = -1
0 y = -(0)^2 = 0
1 y = -(1)^2 = -1
3 y = -(3)^2 = -9
