Answer: C
Step-by-step explanation:
Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).
First rearrange the equation
-3x + y/2 = -3
Y = 2( 3x - 3 )
Y = 6x - 6 ..... (1)
Also, the slope of points (1, 0) and (0, -6). Will be
M = ( -6 - 0 )/( 0 - 1 )
M = -6/-1
M = 6
Using general linear equation
Y = MX + C
Let Y = 0 and X = 1
0 = 6(1) + C
C = -6
Substitutes C back into the equation
Y = 6x - 6 ...... (2)
The value of b that will cause the system to have infinitely many number of solutions is 6
Answer:
-7k + 14
Step-by-step explanation:
(k² - 7k + 2) - (k² - 12)
k² - 7k + 2 - k² + 12
k² - k² - 7k + 2 + 12
-7k + 14
<u>Answer</u>
18 and 12
<u>Explanation</u>
Factor is a number or algebraic expression that divides another number or expression evenly that is with no remainder.
Odd number have few factors so the can't be the answer.
WE are going to try the even numbers.
18 ⇒ 18, 9, 6, 3, 2, 1
16 ⇒ 16, 8, 4, 2, 1
12 ⇒ 12, 6, 4, 3, 2, 1
10 ⇒ 10, 5, 2, 1
Other number less than 10 has factors less than 5.
It can be seen from above that 18 and 12 have the most factors.
<h2>
Answer:</h2>
Option: B is the correct answer.
The range of the function is:
B. 5 < y < ∞
<h2>
Step-by-step explanation:</h2>
Range of a function--
The range of a function is the set of all the values that is attained by the function.
By looking at the graph of the function we see that the function tends to 5 when x→ -∞ and the function tends to infinity when x →∞
Also, the function is a strictly increasing function.
This means that the function takes every real value between 5 and ∞ .
i.e. The range of the function is: (5,∞)
Hence, the answer is:
Option: B
Answer:
∴Third side = 12 units
Step-by-step explanation:
In ΔCAB, the measure of segment AB is 8 units and the measure of segment AC is 5 units.
The sum of two sides of a triangle always grater than third side.
Therefore,
(5+8)=13 units
third side<13
∴Third side = 12 units