(5^-8) (5^-10)
Step-by-step explanation:
This problem is all about bases and exponents. Because we have a quotient and the bases are both 5's, that means that we can use the rule of exponents for quotients to rewrite and simplify:
That's the simplification as long as you are "allowed" to leave the exponent as a negative number.
y=3/2x-5/2
y=5/2x+3/2
y=-5/2x+3/2
Answer:
Step-by-step explanation:
The equation of a line passing through points (a,b) and (c,d) is given by :-
From the given graph , it can be seen that the line is passing through (0,-2.5) and (2,1).
Then, the equation of line passing through (0,-2.5) and (2,1) will be:-
Hence, the equation of the graph is
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2.5) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = = =
Note the line crosses the y- axis at (0, - 2.5) ⇒ c = - 2.5 = -
y = x - → A
Do lines A and B intersect?
You must show all your working.
The lines 2y = 3x + 8 and y = 2x + 4 will intersect at (0, 4).
The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A and B are straight lines.
Line A has equation 2y = 3x + 8 ....1
Line B goes through the points (-1,2) and (2,8). Then the equation of the line will be
y - 2 = [(8 - 2) / (2 + 1)] (x + 1)
y - 2 = 2(x + 1)
y = 2x + 2 + 2
y = 2x + 4 ...2
From equations 1 and 2, then we have
2(2x + 4) = 3x + 8
4x + 8 = 3x + 8
x = 0
Then the value of y will be
y = 2 (0) + 4
y = 4
The lines 2y = 3x + 8 and y = 2x + 4 will intersect at (0, 4).
More about the solution of the equation link is given below.
#SPJ2
75.00 , what is the percent ?
Answer:
16 2/3 %
Step-by-step explanation:
Since the price went down, we are find the percent decrease.
Percent decrease = (original price - new price)/ original price
= (90 - 75)/90
=15/90
.1666666666666
Changing to percent form
16.6666666666666666666666%
16 2/3 %
sqrt(-49) / [ (7-2i) - (4+9i) ]
= 7i / (3 - 11i)
= 7i (3+11i) / [ (3 - 11i) (3 + 11i) ]
= (21 i - 77) / (9 + 121) = choice (d), (-77 + 21i) / 130