Answer:
A) 5
Step-by-step explanation:
6(2x+a)=12x+30
6*2x+6*a=12x+30
12x+6x=12x+30
6a=12x+30-12x
6a=30
a=30/6
a=5
Answer:
That is correct.
Step-by-step explanation:
2 times 10=20
4 times 1=4
5 times 0.1=0.5
8 times 0.01=0.08
20+4+0.5+0.08=24.58
That is correct.
Answer:
y- intercept = - 2.5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)
m =
=
= - 4.5 , then
y = - 4.5x + c
To find c substitute either of the 2 points into the equation
Using (1, - 7), then
- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5
y- intercept c = - 2.5
15) factor out cos: cos(x)(sin(x)+1)=0
Now this is true when either cos(x)=0 (x=pi/2 and 3pi/2)
Or when sin(x)=-1 (x=3pi/2)
So it's solutions are pi/2 and 3pi/2