Answer:
{10, -4}
Step-by-step explanation:
(x-3)^2 = 49
Take the square root of each side
sqrt((x-3)^2) = sqrt(49)
x-3 = ±7
Add 3 to each side
x-3+3 = 3±7
x = 3±7
x = 3+7 and x = 3-7
x = 10 x = -4
Answer: a = 36 and b = 9
Explanation:
(6x-3)(6x+3)
= 36x² - 18x - 18x - 9
= 36x² - 9
(6x-3)(6x+3) = ax² - b
36x² - 9 = ax² - b
a = 36 and b = 9
Hope it helps!
Y = -3x - 40. Use the distributive property to get the slope and move the 10 to the other side to isolate the y
The answer to this question is 24/99. 0.24 with 24 repeating in fractional form is 24/99. You put a 9 in the denominator for every repeating digit.
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.
