Answer:
We conclude that the length of LM if L(3,4) and M(1,-2) will be:

Hence, option D is correct.
Step-by-step explanation:
Given
Determining the length of LM
The length of the distance between (x₁, y₁) and (x₂, y₂) can be determined using the formula

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)








Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

Hence, option D is correct.
Try this option:
1. rule: cosα=sin(90°-α), it means that cos 3x=sin(90°-3x);
2. sin(90°-3x)=sin(x+18°); ⇔ 90°-3x=18°+x; ⇔ x=18°.
Answer: x=18°.
Answer:
3x−4y=9 −3x+2y=9
Add these equations to eliminate x: −2y=18
Then solve−2y=18
for y: −2y=18 −2y −2 = 18 −2 (Divide both sides by -2)
y=−9
Now that we've found y let's plug it back in to solve for x.
Write down an original equation: 3x−4y=9
Substitute−9for y in 3x−4y=9: 3x−(4)(−9)=9
3x+36=9(Simplify both sides of the equation)
3x+36+−36=9+−36(Add -36 to both sides)
3x=−27 3x 3 = −27 3 (Divide both sides by 3) x=−9
Answer: x=−9 and y=−9
Hope This Helps!!!
Answer:
x=12
Step-by-step explanation:
f(x)=16x-30 and g(x)=14x-6
(f-g)(x)=0
f(x)=16x-30 -(14x-6)
Distribute
= 16x -30 -14x +6
Combine like terms
= 16x-14x -30+6
2x-24
Set this equal to zero
2x-24 =0
Add 24 to each side
2x-24 +24=0+24
2x=24
Divide by 2
2x/2 =24/2
x = 12
3 remainder of 7 i fink
Step-by-step explanation: