Answer:
2y=11 - 5x
Step-by-step explanation:
An equation that is parallel shares the same gradient thus
2y= -5x - 8
y = -5/2x- 4
gradient m = -5/2
substitute value of m and the co-ordinates into a new linear equation
y = mx + c
-9 = (-5/2)(8) + c
c = 20-9 = 11
thus y = -5/2x + 11
2y=11 - 5x
To solve this, simply divide by 3 on both sides.
36/3 = 12
<span>x = 12
</span>
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
32 out of 107
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Answer:
Step-by-step explanation:
This form is already factored so it can help us to find the intercepts with the x-axis
how ?
- The intercepts with the x-axis are simply the points where f(x)=0
from the factored form we can deduce that x=2 and x=3 are the points that represent the intercepts with the x-axis since f(2)=0 and f(3)=0
- The intercept with the y-axis is the image of 0 so f(0)=(0-2)(0-3)=6
so :
- The intercepts with the x-axis are (2,0) and (3,0)
- The intercept with they-axis is (0,6)
To get the standard form we should develop :
= x²-5x+6
now the vertex form with the axis of symmetry :
- There are many ways to do it but here is the simplest one :
the standard form is x²-5x+6 :
The coordinates of the vertex are : (
,f(
) )
- let A be the vertex : a(
,
) - the axis of simmetry is x= 5/2
- The vertex form is : 1*(x-
)²/(1/4)
Answer:
47.1
Step-by-step explanation:
tan 61 = FD/24
FD = 43 3
cos 19 = 43.3/FE
FE = 43.3/cos 19 = 47.1