Answer: (2,2)
Step-by-step explanation:
I'm going to use substitution to solve this:
First, I use the second equation to solve for y in terms of x.
2x - y = 2
-y = 2 - 2x
y = 2x - 2
Then, I plug the value for y into the first equation:
2x + 4y = 12
2x + 4(2x - 2) = 12
2x + 8x - 8 = 12
10x - 8 = 12
10x = 20
x = 2
Now that we have x, we can plug it into either equation (I used the first) to get the value for y:
2x + 4y = 12
2(2) + 4y = 12
4 + 4y = 12
4y = 8
y = 2
We get the point (2,2) as a solution.
Note: This is the point where both lines intersect.
Answer:
19
Step-by-step explanation:
3.920(1.018)ˣ = 5.500
- First we can divide both sides by 3.920 to get: (1.108)ˣ = 1.403
- Then we can take the natural log of both sides to get: ln[(1.108)ˣ] = ln(1.403)
- We can then use logarithmic rules to move the x exponent to the front: xln(1.108) = ln(1.403)
- Then we can divide both sides by ln(1.108) to get:
- Then using a calculator we get x = 18.98 ≈19
Answer:
b= 0.9
Step-by-step explanation:
first you find angle B: 180-90-25=65
then you will do law of sine- sin A/a=sin B/b=sin C/c
sin(90)/1=sin 65/b
sin(90)*b=sin(65)*1
sin(90)*b=0.9
b=0.9/sin(90)
b= 0.9
Answer:
(f+g)(1)
equals
3
Step-by-step explanation:
(f+g)(1) is f(1)+g(1).
f(1) means what y corresponds to x=1 so f(1)=-1.
g(1) means what y corresponds to x=1 so g(1)=4.
So (f+g)(1)=f(1)+g(1)=-1+4=3.
