Answer:
y = 5x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)
m = = 5
Note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 5x + 3 ← equation in slope- intercept form
cos A is 0.8511 and tan B is 1.6
Step-by-step explanation:
Find the 3rd length or the hypotenuse.
<u>Pythagoras theorem</u>
=
+
=
+
= 64 + 25
hypotenuse =
hypotenuse = 9.4
a) Cos A
<u>Data:</u>
Adjacent = 8
Hypotenuse = 9.4
<u>Formula:</u>
Cos (Angle) =
Cos A =
Cos A = 0.8511
A = (0.8511)
A = 31.7°
b) Tan B
<u>Data: </u>
Opposite = 8
Adjacent = 5
<u>Formula:</u>
Tan (Angle) =
Tan B =
Tan B = 1.6
B = (1.6)
B = 58°
Therefore, cos A is 0.8511 and tan B is 1.6.
Keyword: cos, tan
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