Answer:
y = 4x + 2
Step-by-step explanation:
y = 4x + 2
Perpendicular lines have opposite, reciprocal slopes. I'll show you 2 ways to solve.
y - (-4) = (-1/2)(x - 8)
y + 4 = (-1/2)x + 4
y = (-1/2)x
orrrr...
-4 = (-1/2)(8) + b
-4 = -4 + b
b = 0
Well, we don't write "+ 0" because that's just extra work.
y = (-1/2)x
Note if you see an equation like this, know that b (our y-intercept) is 0. If you see something like y = 7, then the slope is 0, but 0 times our x-value would equal 0 and that's also unnecessary.
Please mark brainlest
The last one with four boxes of x over 24
Answer:
Step-by-step explanation:
Answer:
AC ≈ 5.03
Step-by-step explanation:
We can solve the problem above using the trigonometric ratio, they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ= adjacent/ hypotenuse
tan Ф = opposite / adjacent
From the diagram above, in reference to angle B;
opposite =AC and adjacent =BC
Since we have opposite and adjacent, the best formula to use is
tanФ = opposite / adjacent
tan B = AC / BC
tan 40 = AC/ 6
Multiply both-side of the equation by 6
6× tan 40 = AC/ 6 × 6
At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC
6×tan 40 = AC
5.034598 = AC
AC ≈ 5.03 to the nearest hundredths
