You can use the measure of 112 on the similar shape to find b, as they are same side exterior angles. From there, you can find both a and c, because a/b and b/c are supplementary angles.
a = 68 degrees
c = 68 degrees
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.
Answer:
- 2x + y = - 1 , so the B is correct.
Step-by-step explanation:
+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2
+ So the equation is y = 2x + b.
+ Then we replace x= 2 and y= 3 into y = 2x + b for finding like:
3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.
+ The equation of this line is y = 2x - 1 or in the form:
2x - y - 1 = 0 (or -2x + y = -1)
Have a good day!
The answer is for your paper is 21
Answer:
452.16 square yards
Step-by-step explanation:
The equation for the SA of a sphere is A=4πr2
Substituting r = 6 yards : A= 4 * 3.14 * 6^2 = 452.16 square yards
