First of all let's rearrange the equation for the given line:
4x + 7y + 3 = 0
7y = -4x - 3
y = (-4/7)x - 3/7
Now we know that the gradient of the line is -4/7
The gradients of two perpendicular lines multiply by each other to give -1, ie.
(-4/7)*m = -1
m = -1/(-4/7)
= 7/4, therefor the gradient of the perpendicular line is 7/4
Now we can substitute this and the point (-2, 1) into the equation y - y1 = m(x - x1)
y - 1 = 7/4(x - (-2))
y = 7/4x + 7/2 + 1
y = 7/4x + 9/2
If we look at the given answers then C is correct, since 9/2 = 18/4 and so the equation may also be written as y = 7/4x + 18/4
Answer:
For 30, it is x = 3.6. And for the 32, it is x = 6.25
Step-by-step explanation:
The correct answer is the las option (Option D), which is:
D. f(x)=(x+4)^4
The explanation is shown below:
1. The initial function was G(x)=x^4, whose graph shows that the shape has its vertex at 0,0.
2. If the it was shift 4 units to the left, you only has to add a 4 to the function.
3. Therefore, you obtain the the equation of the final shape is:
f(x)=(x+4)^4
As you can see, the answer is the option D.
Answer + Step-by-step explanation:
1) D be the symmetric of B with respect to C then CD = BC
A the symmetric of C with respect to B then AB = BC
We obtain :
CD = BC
AB = BC
Then AB = CD
2) m∠SBA = 180 - SBC = 180 - SCB = m∠SCD
3) we have :
BA = CD
BS = CS
m∠SBA = m∠SCD
Then
the triangles SBA and SCD are congruent
4)
the triangles SBA and SCD are congruent Then SA = SD
Therefore SAD is an isosceles triangle.
Answer:
30%
Step-by-step explanation:
if 50 are orange, that is half, then there are 30 left. meaning 30%
hope this helps!
