Answer:
The base is 4cm and the height is 5cm.
Step-by-step explanation:
This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:
and
Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:
In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:
Answer:
infinitely many solutions
Step-by-step explanation:
8x+8+12x+36+4=20x+48
20x + 48 = 20x + 48
0= 0
We have two flower beds in this example, the first has a perimeter of 100 feet, and the second has a perimeter of 180 feet
The total is 280 feet
<h3>Perimeter of Rectangle</h3>
Given Data
Dimension of the first flower bed
Length = 17 feet
Width = 33 feet
Perimeter = 2L + 2W
Perimeter = 2*17 + 2*33
Perimeter = 34 + 66
Perimeter = 100 feet
Dimension of the second flower bed
Length = 40 feet
Width = 50 feet
Perimeter = 2L + 2W
Perimeter = 2*40 + 2*50
Perimeter = 80 + 100
Perimeter = 180 feet
The total length will be 100+180 = 280 feet
Learn more about Perimeter here:
brainly.com/question/19819849
Add 2x^2 to both sides
7x^2-2x-6=9x
Subtract 9x from both sides
7x^2-11x-6=0
Factor by using slip and slide
x^2-11x-42
(x-14)(x+3)
(x-14/7)(x+3/7)
(x-2)(7x+3)
Then use the Zero Product Property to find roots
x-2=0
x=2
7x+3=0
7x=-3
x=-3/7
Final answer: x=-3/7, x=2
Answer:
Approximately Normal
Step-by-step explanation:
Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.
