Answer:
19
Step-by-step explanation:
Hello.
We have:
- A point that the line passes through
- The slope of the line
Plug the values into the Point-Slope Formula:
I hope it helps.
Have a nice day.
g(-2) + g(2) = 22
Step-by-step explanation:
For x = -2, g(x) = x^2 - 3x
or
g(-2) = (-2)^2 - 3(-2) = 4 + 6 = 10
For x = 2, g(x) = 12, therefore
g(-2) + g(2) = 10 + 12 = 22
Answer:
Options (1), (3) and (5)
Step-by-step explanation:
Equation that represents the relationship between the three sides of a triangle is,
a² + b² = c²
Where c = longest side of the triangle
If the length of the given sides satisfy the equation, triangle formed by the sides will be a right triangle.
Option A.
27 in, 36 in, 45 in
(45)² = (27)² + (36)²
2025 = 729 + 1296
2025 = 2025
True.
Option 2.
18 in, 22 in, 28 in
(28)² = (18)² + (22)²
784 = 324 + 484
784 = 808
False.
Option 3
10 in, 24 in, 26 in
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Option 4
20 in, 21 in, 31 in
(31)² = (20)² + (21)²
961 = 400 + 441
961 = 841
False.
Option 5
28 in, 45 in, 53 in
(53)² = (28)² + (45)²
2809 = 784 + 2025
2809 = 2809
True.
Therefore, Options (1), (3) and (5) will be the correct options.
An angle formed by a chord and a tangent line is half the measure of the intercepted arc.
The intercepted arc is ADB, which is given as 162 degrees.
Angle EAB = 1/2 of 162
The answer is 81 degrees.
