Answer:
x = 10
Step-by-step explanation:
The figure is symmetrical, so 7x+5 = 9x - 15
7x + 5 = 9x - 15
5 = 2x - 15
20 = 2x
x = 10
Note that the figure is not drawn to scale, but computations don't lie :)
A function notation is expressed as f(x) = ax^b + cx^d + ..... where f(x) is equal to y, In this case, to r<span>ewrite 3x + 4y = 10 using function notation, we rearrange the statement and express in terms of x only. Hence
4y = 10 - 3x
y = (10 - 3x) /4 = f(x)
f(x) = 2.5 - 0.75x</span>
Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
Answer:
a = -1
Step-by-step explanation:
The line of symmetry for the parabola given by ...
y = ax² +bx +c
is
x = -b/(2a)
Using the given values, we have ...
-2 = -(-4)/(2a)
Multiplying by -a/2, we get ...
a = (4/2)(-1/2) = -1
The value of "a" is -1.
