Answer:
(3,8): No, (-1,-11): Yes, (2,7): Yes, (0,-6): No
Step-by-step explanation:
Basically, you just substitute x and y with the numbers given.
18x - 3y = 15
y = 6x - 5
(3,8):
18(3) - 3(8) = 15
54 - 24 = 30 It is not equal to 15, so it does not work.
y = 6x - 5
8 = 6(3) - 5
8 = 13 It is not equal to 8, so it does not work.
Therefore, (3,8) is not a solution.
Try this for every pair and you will find that (-1,-11) and (2,7) are solutions.
I hope this helps!
Answer:
Step-by-step explanation:
we know that
An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is equal to 60 degrees)
see the attached figure to better understand tyhe problem
Let
h ----> the height of an equilateral triangle
b ---> the length side of an equilateral triangle
In the right triangle ABD
Applying the Pythagorean Theorem

substitute the given values

square root both sides
Answer:
11.2 cm
Step-by-step explanation:
Given that;
Arc Length Formula (if θ is in radians): l = ϴ × r
ϴ = angle subtended in radians
r= radius of the circle
l = 8cm × 1.4 radians
l= 11.2 cm
Answer:
19.1
Step-by-step explanation:
Let's assign some variables to this triangle.
angle A = 63°
angle B = unknown
angle C = 71°
side a = 18
side b = y
side c = x
By the law of sins, applicable to ALL triangles, we have:

Let's then take the equation for angles A and C, in order to isolate the c (which is our x to find).
we then have

So, the answer is the second one.
Answer:
468
Step-by-step explanation:
25+11=36 x (10+3)
36 x 13= 468