Answer:
-2
Step-by-step explanation:
-4x^3 = 32
x^3 = -8
take the cube root of both sides.
x = -2
Answer:
-- Domain
-- Range
It is a function
Step-by-step explanation:
Given


Required
State the domain and range
Determine if the relation is a function
From the question, we have the domain and range as:
-- Domain
-- Range
Next, is to determine if the relation is a function or not.
Yes, it is a function.
The number of elements in the domain is 4
The number of elements in the range is 3
<em>When the domain has more elements than the range, this is called a many-to-one function, and it is a valid type of function.</em>
Answer:
She should make a rectangle with dimensions 14.4 cm by 4.2 cm.
Step-by-step explanation:
- The diagonal of a rectangle is represented by
. - Area of rectangle is = length×width
- Perimeter of a rectangle = 2(length+width).
Assume x be the width of the rectangle.
The length of the rectangle is to be 6 cm more than twice the width.
The length of the rectangle is= (2x+6) cm
Then the diagonal of the rectangle is 


cm
According to the problem,

Squaring both sides




⇒5x²+45x-21x-189=0
⇒5x(x+9)-21(x+9)=0
⇒(x+9)(5x-21)=0
⇒x+9=0 or, 5x-21=0

⇒x= -9, 4.2
Since the width of a rectangle can not negative.
So, x=4.2 cm
The width of rectangle is = 4.2 cm
The length of the rectangle is =(2×4.2+6)
=14.4 cm
She should make a rectangle with dimensions 14.4 cm by 4.2 cm.
First pic
a. ΔMNK ≅ ΔRTP
b. TR ≅ NM
c. x = 7
3x - 1 = 20
3x = 20 + 1
3x = 21
x = 21 ÷ 3
x = 7
Second pic
SAS (Side-Angle-Side congruence)
SSS (Side-Side-Side)
Hope this helps
The commutative porperty states that numbers can be swapped over , they can change their place in the equation and the result will still be the same.
In our case 13 x 7 x 21, the commutative property means that the numbers can be rearranged
13x7x21=13x21x7=7x21x13=7x13x21