Answer:
The new point would be (-3,-6)
Step-by-step explanation:
To solve this it is nice to graph the first point at (1,-1). Then move the point left 4 units, making x -3. and then 5 units down, which would make y -6.
Answer:
10m x 15m
Step-by-step explanation:
You are given some information.
1. The area of the garden: A₁ = 150m²
2. The area of the path: A₂ = 186m²
3. The width of the path: 3m
If the garden has width w and length l, the area of the garden is:
(1) A₁ = l * w
The area of the path is given by:
(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36
Multiplying (2) with l gives:
(3) A₂l = 6l² + 6lw + 36l
Replacing l*w in (3) with A₁ from (1):
(4) A₂l = 6l² + 6A₁ + 36l
Combining:
(5) 6l² + (36 - A₂)l +6A₁ = 0
Simplifying:
(6) l² - 25l + 150 = 0
This equation can be factored:
(7) (l - 10)*(l - 15) = 0
Solving for l we get 2 solutions:
l₁ = 10, l₂ = 15
Using (1) to find w:
w₁ = 15, w₂ = 10
The two solutions are equivalent. The garden has dimensions 10m and 15m.
Answer:
4 songs: $3.96 8 songs: $7.92
Step-by-step explanation:
- Divide to find out how much it costs for 1 song.
5.94 / 6 = 0.99 <u>Each song costs $0.99</u>
- Now multiply $0.99 by (number of songs)
- 0.99 x 4 = 3.96
- 0.99 x 8 = 7.92
The answer is: Perpendicular, because both equations intersects or cross over each other. There is an attached photo
It is given in the question that
A city had population 67,255 on January 1,2000, and its population has been increasing by 2935 people each year since then.
Here initial population , b, is 67255, and the rate of increase of population is 2935 people each year. And that's the value of the slope .
Using slope intercept form, which is
And substituting the values of m and b, we will get
