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Vera_Pavlovna [14]
2 years ago
11

Find the slope of the line-4-1/41/44

Mathematics
1 answer:
viva [34]2 years ago
8 0
Find 2 "easy" points on the graph, and identify their coordinates.  One such point would be (-4,1) and another would be (4,2).

run = 8 (from -4 to +4)
rise = 2 (from 0 to 2)

              rise           2
slope = ------- = -------- = 1/4                   y-intercept is (0,1)
               run          8

equation of this line is   thus   y = mx + b, or   y = (1/4)x + 1  (answer)
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A rope 25 feet long is cut into 3 pieces. The forest piece is 2x feet long, the second piece is 5x feet long, and he third piece
Gnoma [55]
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    7x = 21
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8 0
3 years ago
O is the centre of the circle. AB is a diameter.
viktelen [127]

Answer:

The value of a is 63° and the value of b is 27°

Step-by-step explanation:

In the given figure

∵ OA, OB, and OC are radii of the circle O

→ The radii of a circle are equal

∴ OA = OB = OC

In Δ AOC

∵ OA = OC

∴ Δ AOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OAC and ∠OCA are the base angles of the triangle

∴ m∠OAC = m∠OCA

∵ m∠OAC = a°

∴ m∠OCA = a°

→ The sum of angles in any triangle is 180°

∵ a° + a° + m∠AOC = 180°

∵ m∠AOC = 54°

∴ a° + a° + 54 = 180°

→ Add the like terms

∴ 2a° + 54 = 180°

→ Subtract 54 from both sides

∴ 2a° = 126°

→ Divide both sides by 2

∵ m∠OAC = m∠OCA = 126 ÷ 2

∴ a° = 63

∴ The value of a is 63°

In ΔBOC

∵ OB = OC

∴ Δ BOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OBC and ∠OCB are the base angles of the triangle

∴ m∠OBC = m∠OCB

∵ m∠OBC = b°

∴ m∠OCB = b°

∵ ∠AOC is an exterior angle of ΔBOC at the vertex O

→ The measure of the exterior angle equals the sum of the measure

    of the opposite interior angles to this vertex

∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC

∴ m∠OBC + m∠OCB = m∠AOC

→ Substitute their measures

∵ b° + b° = 54°

→ Add the like terms

∴ 2b° = 54

→ Divide both sides by 2

∴ b° = 27

∴ The value of b is 27°

3 0
2 years ago
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The Jackson family drove 496 miles in 8 hours. Which is the unit rate in fraction form?
vagabundo [1.1K]
You find the unit rate by dividing 496 by 8 
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