Answer:
The answer is 0
Step-by-step explanation:
3n(3m-2n) + 6m^2= (6m-3n)(2n+m)
By expansion
9mn - 6n^2 + 6m^2 = 12mn + 6m^2 -6n^2 - 3mn
By collecting like terms
9mn - 12mn + 3mn - 6n^2 + 6n^2 + 6m^2 - 6 m^2 = 0
-3mn + 3mn=0
Therefore the simplification of the expansion gives us 0
4y = 3x + 18
Step-by-step explanation:
NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1
Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9
3y = -4x + 9
y = -4/3 x + 9/3
y = -4/3 x + 3
The slope of the perpendicular line is, therefore;
¾ - this is the negative inverse of -4/3
Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;
i.e (0, y)
The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;
Gradient = Δ y / Δ x
¾ = (3 – y) / (-2 – 0)
¾ = (3 –y) / -2
¾ * -2 = 3 – y
-3/2 = 3 – y
-3/2 – 3 = -y
9/2 = y ←– This is the y-intercept
Remember the function of a straight line is given;
y = mx + c (m being slope and c being y-intercept)
y = 3/4 x + 9/2
4y = 3x + 18
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there are 60 minutes per hour
24/60 = 0.4 miles per minute
0.4*5 = 2
they will ride 2 miles in 5 minutes
Answer:
<h3>#1</h3>
- tangent = opposite leg / adjacent leg
- tan ∠F = DE/ EF
- tan ∠F = 24/7
<u>Option D</u>
<h3>#2</h3>
Sine and cosine are same for complementary angles.
- Complementary of 67° is 90° - 67° = 23°.
- sine 67° = cosine 23°
Answer:
-7
Step-by-step explanation:
We can follow PEMDAS and see that first we do 4+2 which is 6. Our equation looks like 5 - (6)2. Since multiplication comes before subtraction we multiply 6 * 2 which is 12. Now we can fit that in 5 - 12 = -7
