1,35 3,57
slope = (57 - 35)/(3 - 1) = 11
y = 11 x + b
35 = 11 (1) + b
b= 24
y = 11x + 24
y = 11(5) + 24 = 79
We can Notice that ∠ABC = ∠ACB
We know that if Two Angles are Equal then Angles Corresponding to those Sides are also Equal.
⇒ AB = AC
⇒ 4x + 4 = 6x - 14
⇒ 6x - 4x = 4 + 14
⇒ 2x = 18
⇒ x = 9
⇒ Length of BC = 2x + 7 = 2(9) + 7 = 18 + 7 = 25 units
Answer:
Step-by-step explanation:
Y=x+1.25
Answer:
R, T, S
Step-by-step explanation:
R+S+T=180 degrees
9x-2+4x+36+5x+20=180
18+54x=180
54x=162
x=3
R=9*3-2 (substitute x with 3)
R=25
S=4*3+36
S=48
T=5*3+20
T=35
Shortest to longest: R, T, S
Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
