Answer:
Step-by-step explanation:
It is correct till 16/15
But after that it is 16/15 × 5/-3 = 80/-45
simplify it to 16/-9
115°
A triangle is 180° so add the two degrees given and subtract that from 180; 180-(75+40)
180-155= 65. then a line is 180 degrees so you subtract 65 from 180 and get 115
Answer: y=4
Step-by-step explanation:
In order to find y axis interception , you need to substitute the x=0 into your equation, by doing this you get 3*2^(0)+1 which is eventually equals to 4
Answer:
Speed along the line joining both = 7.84 meter/second
Step-by-step explanation:
To find the rate of change of distance between the man and the car at that instant we have to find the component of speed of the car along the line joining the car and the person .
The person is 10 metre east of intersection and the car is 24 metres north of the intersection.Thus it forms a right triangle with sides of length 10 and 24.
Then the length of other side is x.
By Pythagoras theorem ,
x =
x = 26 meters
Speed along north direction = 13 meters/second
Speed along the line joining both =
=
=
Speed along the line joining both = 7.84 meter/second
First of all, remember what the equation of a line is:
<span>y = mx+b
</span>First, let's find what <span>m:
m = 1-(-3) / 2-(-1)
m = 4/3
</span>
so: y = 4/3x + b
Now, what about b, or the y-intercept?
<span>To find b, think about what your (x,y) points mean:
<span><span>(-1,-3).
When x of the line is -1, y of the line must be -3.
</span><span>(2,1).
When x of the line is 2, y of the line must be 1.
</span></span>
Now, look at our line's equation so far: <span>y=4/3x+b</span>.
You can plug either (x,y) point you want into the x and y variables..the answer will be the same:
<span><span>(-1,-3)
-3=4/3 × -1+b,
b=-3-(4/3)(-1)
b=-5/3</span><span>
(2,1)
1=4/3 × 2+b
b=1-(4/3)(2).
b=-5/3.</span></span>In both cases we got the same value for b.
</span>
So we have
y = 4/3x -(5/3).
In standard form it would be:
(4/3)x - y = (5/3)