Answer:
v = 96 km/h
Step-by-step explanation:
Data:
d = 240 km
t = 2.5 h
speed = d/t
speed = 240/2.5 = 96 km/h
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
Answer:
4√2x.
Step-by-step explanation:
√32 = √2*√16 = 4√2.
√x^2 = x.
5(3)-3(-2)
15-(-6)=
15+6=21
a negative plus a negative is a positive so its 21
4(3)-3(-2)
12-(-6)
12+6=18
21+18=39
The equation of the line is y - 3 = 5(x - 8) ⇒ c
Step-by-step explanation:
The point-slope form of the linear equation is
, where:
- m is the slope of the line
is a point on the line
∵ The line passes through point (8 , 3)
∴
= 8 and
= 3
∵ The slope of the line is 5
∴ m = 5
- Substitute these values in the form of the equation below
∵ ![y-y_{1}=m(x-x_{1})](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%29)
∴ y - 3 = 5(x - 8)
The equation of the line is y - 3 = 5(x - 8)
Learn more:
You can learn more about the linear equations in brainly.com/question/1284310
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