Answer:
x = 4
Step-by-step explanation:
6(6 + x) = 5(5 + x + 3) => secant secant theorem
36 + 6x = 5(8 + x)
36 + 6x = 40 + 5x
Subtract 36 from each side
36 + 6x - 36 = 40 + 5x - 36
6x = 4 + 5x
Subtract 5x from each side
6x - 5x = 4 + 5x - 5x
x = 4
Answer:
Step-by-step explanation:
We shall find the solution of this problem with the help of vector notation of i , j , which show east and north direction .
The first displacement can be represented by the following
D₁ = - 3 cos 45 i + 3 sin45 j = - 3 / √2 i + 3 / √2 j
The second displacement can be represented by the following
D₂ = - 5 cos 45 i - 5 sin45 j = - 5 /√2 i - 5 /√2 j
The third displacement can be represented by the following
D₃ = 4 cos 45 i + 4 sin45 j = 4 /√2 i + 4 /√2 j
Total displacement D =
D₁ +D₂ + D₃
= i ( -3 -5 + 4 ) / √2 + j ( 3 - 5 + 4 ) / √2 j
= - 4 / √2 i + 2 / √2 j
D = - 2.8288 i + 1.414 j
Magnitude of D
= √ ( 2.8288² + 1.414² )
= 3.16 miles
For direction we calculate angle with X axis
Tanθ = 1.414 / 2.8288
θ = 26 °
As x is negative and Y is positive ,
the direction will be north of west .
Answer:
both are right
Step-by-step explanation:
okay so you already know that the y-intercept is 4 since a point is (0, 4)
but not to find the slope you can use the y2-y1/x2-x1
16 - 4/ -8 - 0 = 12/-8 = 3/-2
or
4 - 16/ 0 - (-8) = -12/8 = -3/2
it doesnt matter which you plug in first
so we know the slope (m) is -3/2 and the y-intercept (b) is 4, now to put it into an equation:
y = mx + b
y = -3/2x + 4
also im going to put this in slope-intercept form
3x + 2y = 8
-3x -3x
2y = -3x + 8
/2 /2
y = -3/2x + 4
y = -3/2x + 4 = y = -3/2x + 4
so both answers equal each other, meaning they both are right
Answer:
30
Step-by-step explanation:
10 times 3 = 30
Answer:
It is important to use mixed numbers in real life, because it can help you find the measurements for when you are buying ingredients or baking something.
Hope this helps ;)
Step-by-step explanation:
