Answer:
Option A. f(x) = 4x + 7
Step-by-step explanation:
To obtain the answer to the question, we simply try each of the equation using the first two value of x in the table to see which of them will satisfy the table. This is illustrated below:
For option A
1. f(x) = 4x + 7
x = - 1
f(x) = 4(-1) + 7
f(x) = - 4 + 7
f(x) = 3
2. f(x) = 4x + 7
x = 0
f(x) = 4(0) + 7
f(x) = 0 + 7
f(x) = 0
For option B
1. f(x) = 7x - 4
x = - 1
f(x) = 7(-1) - 4
f(x) = - 7 - 4
f(x) = - 11
2. f(x) = 7x - 4
x = 0
f(x) = 7(0) - 4
f(x) = 0 - 4
f(x) = - 4
For Option C
1. f(x) = -4x - 1
x = - 1
f(x) = -4(-1) - 1
f(x) = 4 - 1
f(x) = 3
2. f(x) = -4x - 1
x = 0
f(x) = -4(0) - 1
f(x) = 0 - 1
f(x) = - 1
For Option D
1. f(x) = x + 7
x = - 1
f(x) = - 1 + 7
f(x) = 6
2. f(x) = x + 7
x = 0
f(x) = 0 + 7
f(x) = 7
From the illustrations made above, only option A satisfy the table.
Answer:
A. The length of the third side is approximately 5 feet.
B. A = 
, B = 
and C = 
.
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
= 
+ 
- 2ac Cos B
= 
+ 
- 2(6 x 3) Cos
= 36 + 9 - 36 x 0.5
= 45 - 18
= 27
b = 
= 5.1962
b = 5.2 feet
b ≅ 5 feet
The length of the third side is approximately 5 feet.
B. Given that B = , then let us apply the Sine rule to determined the measure of A.
= 
So that,
= 
Sin A = 
Sin A = 0.99923
A = 
0.99923
= 87.75
A ≅
Since the sum of angle in a triangle = 
.
Then,
A + B + C =
+ + C =
+ C =
C = -
=
C =
Thus,
A = , B = and C = .
8 to 16
2 to 4
13 to 26
5 to 10
6 to 12
Its 9m-9(2) make sure to think of the minus sign as a negative because it will equal 9m-18 not 9m+18
First you distribute what’s outside the parentheses (the -4)
-4•4= -4y
-4•-2= 8
New equation: -4y+8=12
Now you solve like a normal equation
12-8 is 4
New equation: -4y=4
Now divide
Answer:-1
