Answer:
2 ( k + ( 2k +4)) = 50 cm is the required equation.
Width of rectangle = 7 cm, Length of rectangle = 18 cm
Step-by-step explanation:
The perimeter of the rectangle = 50 cm
Le the width of the rectangle = k cm
⇒The length of the rectangle = (2k + 4) cm
Now, PERIMETER OF THE RECTANGLE = 2( LENGTH WIDTH)
⇒ 2 ( k + ( 2k +4)) = 50 cm
or, 2( 3k+ 4) = 50
⇒ 6k + 8 = 50
or, 6k = 50 - 8 = 42
or, k = 42/6 = 7
⇒ k = 7 cm
Hence, the width of the rectangle = k = 7 cm
and the length of the rectangle = (2k +4) = 2(7) + 4 = 18 cm
Answer:
Number of terms: 2
Degree: 1
Step-by-step explanation:
✔️A term can either be a coefficient with a variable, a variable, or a constant.
In the polynomial given, 10y + 2, there are two terms:
First term is a coefficient with a variable = 10y
Second term is a constant = 2
The two terms are: 10y and 2
✔️Degree of a polynomial is the highest exponents possessed by any of its term.
10y has an exponent of 1.
The degree of the polynomial therefore will be 1
Answer:
(2,7)
Step-by-step explanation:
y=6x-5
y=x+5
Since they are both equal to y, set them equal to each other
6x-5 = x+5
Subtract x from each side
6x-x-5 = x+5-x
5x-5 = 5
Add 5 to each side
5x-5 +5 = 5+5
5x=10
Divide by 5
5x/5 = 10/5
x=2
y = x+5
y = 2+5
y =7
Answer:
- <u>200,000</u><em> 6-digit numbers can be constructed.</em>
Explanation:
Since the number is greater than 600,000, the first digit must be 6, 7, 8, or 9, so 4 different options: 4
The second, third, fourth, and fith digits can be either number 0 through 9, so 10 options for each one: 10 × 10 × 10 × 10.
Since the number must be odd and greater than 600,00, the last digit is odd, so it can be 1, 3, 5, 7, or 9, so 5 different options: 5.
Using the multiplication counting principle, you muliply the independent options to obtain the number of different combinations:
- 4 × 10 × 10 × 10 × 10 × 5 = 200,000.
Answer:
x=-27
Step-by-step explanation:
27+4x=3x
So 27=-x
x=-27