Answer:
7.8 units separate the points A and B.
Step-by-step explanation:
Going from B to A, x increases by 6 (this is the horizontal side of the triangle formed by vertices A and B), and y increases by 5. Applying the Pythagorean Theorem, we get
d = √(6² + 5²), or √(61, which is approximately 7.8, the desired distance.
Answer:
2) x=-4 y=4 4) x=0 y=-4
Step-by-step explanation:
<em>2)</em> Step: Substitute x+8 for y in y=−4x−12:
y=−4x−12
x+8=−4x−12
x+8+4x=−4x−12+4x (Add 4x to both sides)
5x+8=−12
5x+8+−8=−12+−8 (Add -8 to both sides)
5x=−20
5x
/5 = −20
/5 (Divide both sides by 5)
x=−4
Step: Substitute −4 for x in y=x+8:
y=x+8
y=−4+8
y=4 (Simplify both sides of the equation)
Answer:
x=−4 and y=4
<em>4) </em>Step: Substitute 3x−4 for y in y=x−4:
y=x−4
3x−4=x−4
3x−4+−x=x−4+−x (Add -x to both sides)
2x−4=−4
2x−4+4=−4+4 (Add 4 to both sides)
2x=0
2x/2 = 0
/2 (Divide both sides by 2)
x=0
Step: Substitute 0 for x in y=3x−4:
y=3x−4
y=(3)(0)−4
y=−4 (Simplify both sides of the equation)
Answer:
x=0 and y=−4
<span>fifty-eight and seven-tenths</span>
Answer
4oz
Step-by-step explanation:
2 3/4 lb= 44oz
