Step-by-step explanation:
8x +6° +118° = 180° ( linear pair)
=> 8x = 180°-124°
=> 8x = 56°
=> x = 7°
hope this helps you.
Answer:
x = 
, y = 2
Step-by-step explanation:
using the tangent ratio and the exact value tan45° = 1 , then
tan45° = 
= 
= 1 , then
x =
----------------------------------
using the cosine ratio in the right triangle and the exact value
cos45° = 
, then
cos45° = 
= 
= ( cross- multiply )
y = × 
= 
= 2
Please indicate exponentiation using " ^ " Thanks.
f(x)=x2+14x+40 => <span>f(x)=x^2+14x+40
Next, complete the square:
</span>f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9
Write this in the form y = (x+7)^2 - 9 or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9
In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
Answer:
6 gallons
Step-by-step explanation:
You can find this using the ration method.
If, 8 gallons : 192 miles
x gallons : 144 miles
We must find the value of x, which is the number of gallons used to travel 144 miles.
Cross multiply the ratios.
192 x = 8 × 144
192 x = 1152
x = 1152 ÷ 192
x = 6
∴ It takes 6 gallons to travel 144 miles.
