Answer:
Step-by-step explanation:
<u>Given:</u>
- The slope m = -5 and point (2, -9)
<u>Use point slope form:</u>
- y - y₁ = m(x - x₁), where (x₁, y₁) is the given point
<u>So the equation is:</u>
- y - (-9) = -5(x - 2)
- y + 9 = -5x + 10
- y = -5x + 1
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Given the system of equation expressed as:
3x + y = 3
x - 2y = 4
Solve simultaneosly;
3x + y = 3 ............. 1 * 1
x - 2y = 4 ...............2 * 3
_________________________
3x + y = 3
3x - 6y = 12
Subtract
y-(6y) = 3 - 12
7y = -9
y = -9/7
Substitute y = -9/7 into the equation to get x
x - 2y = 4
x - 2(-9/7) = 4
x + 18/7 = 4
x = 4 - 18/7
x = 3/7
Since we have a unique value of x and y, it shows that the system of the equation is consistent and independent.
Learn more here: brainly.com/question/20052273
Your answer is StartFraction 35 minus 21 Over 8 minus 4 EndFraction → 35–21/8–4
Answer:
m = 200N
Step-by-step explanation:
3000N = m(15m/s²) Divide both sides by 15 to find the mass
200N = m
Answer:
1/2(m∠JKL) = m∠JKM
Step-by-step explanation:
The angle JKL is being bisected by line KM. This means that the angle has been split into 2 equal angles. Therefore, one of these angles will be equal to 1/2 of the large angle. So, option B, 1/2(m∠JKL) = m∠JKM, is correct.
