For logarithmic equations,
log
b
(
x
)
=
y
logb(x)=y
is equivalent to b
y
=
x
by=x
such that x
>
0
x>0
, b
>
0
b>0
, and b
≠
1
b≠1
.In this case, b
=
5
b=5
, x
=
25
x=25
, and y
2
y=2
.
b
=
5
b=5
x
=
25
x=25
y
=
2
y=2
Substitute the values of b
b
, x
x
, and y
y
into the equation
b
y
=
x
by=x
.
5 squared
=
25
5squared=25
What is the slope of the line through (-7,-8)(−7,−8)left parenthesis, minus, 7, comma, minus, 8, right parenthesis and (0,4)(0,4
ANEK [815]
Answer:
12/7
Step-by-step explanation:
When given two points, we can find the slope by using
m = (y2-y1)/(x2-x1)
= (4 - -8)/ (0 - -7)
= (4+8) / (0+7)
= 12/7
Let w represent the width of the rectangle in cm. Then its length in cm is (3w+9). The perimeter is the sum of two lengths and two widths, so is ...
... 418 = 2(w + (3w+9))
... 209 = 4w +9 . . . . . . divide by 2, collect terms
... 200 = 4w . . . . . . . . subtract 9
... 50 = w . . . . . . . . . . divide by 4
... length = 3w+9 = 3·50 +9 = 159
The dimensions of this piece of land are 159 cm by 50 cm.
