Answer:
Distance between Alexa and tree = 12.844 ft
Height of tree = 19.620 + height of eyesight from ground
Perimeter of triangle formed = 55.914 ft
Step-by-step explanation:
From the given data, the attached image is drawn ( refer attachment)
Assume
Height of eye line as 
, height of tree as 
, distance of tree from Alexa as X and vertical distance between eye line and top of tree is y.
To find: distance of tree from Alexa
consider triangle ATE. Here
X = 23.45 * cos (
) = 12.844 ft
y = 23.45 * sin () = 19.620 ft
Hence distance of tree from Alexa = 12.844 ft
Height of tree = y +
= 19.620 +
Perimeter of triangle = X + Y + 23.45 ft
= 12.844 ft +19.620 ft + 23.45 ft
= 55.914 ft
Answer:
Step-by-step explanation: . y - 7 = -3⁄4 (x +5)
1. y = -3/4(x+5) + 7
2. y = -3/4x + -15/4 + 7
3. y = -3/4x + 13/4
23-9=14
24-10=14 BOTH EQUASTIONS ARE EQUAL
X+96+5x=180
6x=84
X=14 which is B.
Check: 14+96+5(14)=110+70=180
Answer: -2x+3y = 21 which is choice C
============================================
Work Shown:
The slope of the original line is -3/2. The perpendicular slope is 2/3. We flip the fraction and flip the sign. Multiplying the original slope (-3/2) and the perpendicular slope (2/3) will result in -1. Let's use this perpendicular slope and the point to find the equation of the perpendicular line in slope intercept form.
y = m+b
y = (2/3)x+b .... plug in the perpendicular slope
9 = (2/3)(3)+b .... plug in the point (x,y) = (3,9)
9 = 2+b
9-2 = 2+b-2 ... subtract 2 from both sides
b = 7
So y = (2/3)x+b turns into y = (2/3)x+7.
This equation is in slope intercept form.
---------------------------
Let's convert to standard form
y = (2/3)x+7
3*y = 3*((2/3)x+7) ... multiply both sides by 3 to clear out the fraction
3*y = 3*(2/3)x+3*7 ... distribute
3y = 2x+21
-2x+3y = 21 .... get the x term to the other side (subtract 2x from both sides)
