Answer:
-4
Step-by-step explanation:
1. Use the distributive property to get 6x + 36 = -2x + 8 + x
2. Combine like terms 6x + 36 = -x + 8
3. Subtract 36 on both sides. 7x + 36 = 8 > 7x = -28
4. Divide by 7
-28/7 = -4 x=4
Answer: 78
Step-by-step explanation:
Answer:
alright for the first one you set them equal o each other while for the second you do the same thing
first one:8
second one:5
Step-by-step explanation:
24/3 is x and x=8
for the second one
18+12 is 30 and 30/6 is 5so the second one is 5'
if you want me to clarify more please comment
Answer:
128.67 feet
Step-by-step explanation:
We would be solving this question using the Trigonometric function of tan.
Tan( of the angle of elevation) = height of the tower ÷ height of the shadow.
Angle of elevation = 65°
Height of the tower = unknown, which is designated as X
Height of the shadow = 60 feet.
Therefore,
tan 65° = X/ 60 feet
We crossmultiply
X = tan 65° × 60 feet
X = 128.67041523 feet.
Approximately, X = 128.67 feet.
Therefore, the tower is 128.67 feet tall.
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH
