Answer:
The correct option is 1.
Step-by-step explanation:
The given expression is

The value of a is 1 and the value of b is 1.
According to the logarithm property,

Using this property, we get

The required expression is
.

![[\because log_aa=1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_aa%3D1%5D)
Left hand side is equal to the right hand sides, therefore option 1 is correct.
Answer:
f(x)=x-2x+3; f(x)=-bx
x-2x=3=-bx
x+4x+3=0
(x+3) (x+1) = 0
x=-3 or x=-1
when x+-3. f(x)=b x(-3)=18
x=-1. f(x) = - b x (-1) = b
so system of equations : ( -3, -18)
; (-),b
Step-by-step explanation:
hope it helps
Answer:
83°
Step-by-step explanation:
We khow that the sum of a triangle's angle is 180°
- x is unkhown
- an angle with 43° and another unkhown one
We should calculate the first one wich is given by : 180-126= 54
now finally :
=83°
Let x be the number of cases of paper towels and y be the number of cases of soap. The system of linear equation that would best represent the given is,
x + y = 10
12x + 15y = 129
The values of x and y are 7 and 3.
Sarah both 7 cases of paper towel.
It is not possible for Sarah to buy exactly 20 bottles because first of all the cases contains only 12 bottles and 20 is not divisible by 12.
The slide needs to be 4.123 meters
Step-by-step explanation:
Length for the ladder- 1 mtr
Distance of the bottom of the slide from the ladder- 4 mtr
Length of the slide needed
We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)
For right-angled triangle we know from Pythagoras theorem-
Base² + altitude²= hypotenuse
²
Substituting the values of base as 4 mtr and altitude as 1 m
(Hypotenuse)²= 17
∴ Hypotenuse (slide length) =4.123 mtr
∴ Length of the slide needed= 4.123 meters