Determine the intercepts of the line.
1 answer:
Answer:
y- intercept = - 13 , x- intercept =
Step-by-step explanation:
To find the y- intercept, substitute x = 0 into the equation and solve for y
y = 5(0) - 13 = 0 - 13 = - 13 ← y- intercept
To find the x- intercept substitute y = 0 into the equation and solve for x
0 = 5x - 13 ( add 13 to both sides )
13 = 5x ( divide both sides by 5 )
= x
x- intercept = = 2
= 2.6
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Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB = ≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
=
=
( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC = ≈ 18.7 cm ( to 1 dec. place )