Answer: X = 7√2
Step-by-step explanation:
Let first Consider triangle BDC,
Cos C = adjacent/ hypothenus
Cos C = 7 / x ...... (1)
Also, let consider triangle ABC
Cos C = adjacent / hypothenus
Cos C = x / 14 ....... (2)
Since angle C is the same, equate equation 1 to 2
7/ x = x / 14
Cross multiply
X^2 = 98
Make x the subject of formula
X = sqrt (98)
X = sqrt ( 49 × 2 )
X = sqrt (49) × sqrt (2)
X = 7 sqrt(2)
X = 7√2
Answer:
y = 8x+8
Step-by-step explanation:
We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)
Slope formula is: 
Plug in the 2 points: 
Simplify: m = 8
So now, for the equation y = mx+b, we have m which is y = 8x+b
Now we need to find b by using another point from this linear function.
We can use the point (2,24).
Plug this point into the equation y = 8x+b
- 24 = 8(2)+b
- 24 = 16 + b
- b = 8
We have now found the equation of the linear function: y = 8x+8
Answer:
2×sqrt(6)×w⁷
Step-by-step explanation:
what I can read here, you need to simplify
sqrt(24×w¹⁴)
= sqrt(24)×sqrt(w¹⁴) = sqrt(4×6)×sqrt(w¹⁴) =
= 2×sqrt(6)×sqrt(w¹⁴)
and taking the square root of something with exponent simply means dividing that exponent by 2
so,
2×sqrt(6)×w⁷
Answer:
6371. six thousand three hundred and seventy-one