Answer:
y = -5x + 15
Step-by-step explanation:
10x + 2y = 30
Subtract 10x from both sides.
2y = -10x + 30
Divide both sides by 2.
y = -5x + 15
Answer:
y = -3/2x + 13
Step-by-step explanation:
(6,4) and (2,10)
Slope:
m=(y2-y1)/(x2-x1)
m=(10-4)/(2-6)
m=6/(-4)
m = -3/2
Point-slope intercept:
y - y1 = m(x - x1)
y - 4 = -3/2(x - 6)
y - 4 = -3/2x + 9
y = -3/2x + 13
41.9 mi
Step-by-step explanation:
First, we convert the angle from degree measure to radian measure:
Using the definition of an arc length 
6x + x = 49
7x=49
x=7
Substitution:
6x=6X7=42
Ivan has 42 blue beads.
And, he has 6 red beads.
Answer:
y = 3/2x by making use of angle relationships in triangles
Step-by-step explanation:
Here's one way to solve it.
∠ADE is an external angle to ΔBDE. As such, its measure will be the sum of the measures of the remote interior angles, ∠DBE and ∠DEB:
∠ADE = 2x° +y°
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If we call the intersection point of AC and DE point G, then ∠AGE is an exterior angle to ΔADG. As such, its measure is the sum of the remote interior angles:
∠AGE = ∠GAD +∠GDA
3y° = x° +(2x° +y°)
2y = 3x . . . . . . . . . . subtract y°, collect terms, divide by °
y = (3/2)x . . . . . . . . divide by 2
