Answer:
w = -8
Step-by-step explanation:
step 1:(20 - 9w) - 4 • (15 - w) = 0
step 2: -5w - 40 = -5 • (w + 8)
step 3: -5 • (w + 8) = 0
step 4: Subtract 8 from both sides of the equation :
w = -8
Answer:
I think it's x > -5
Step-by-step explanation:
I think it's this because the dot starts at the 5 and points towards the 11. 11 is a bigger number than 5, the x is 11. The <u>> </u> means when something is grouped together and in this case, nothing's grouped together.
Each member will make 0.5 feet of the chain. I cant draw the picture
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.
Pythagorean Theorem<h2>
Verbally:</h2>
Let's say a and b are the legs, and c is the hypotenuse. Then, algebraically, the theorem is,
