Answer:
slope (m)= 1/2
y-intercept: (0, -1)
equation: y=x-1
Step-by-step explanation:
slope is =
y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)
using point slope form:
y-y1=m(x-x1)
y-(-1)=1/2(x-0)
y+1=1/2x
y=x-1
Answer:X equals 10 yw have a nice day
Answer:
A. The graph of is the graph of stretched vertically, flipped over the x axis, and shifted 7 units down.
Step-by-step explanation:
Given:
In order to transform to , we need to follow the following transformation rules:
1. Multiply the function by the number 2. According to transformation rules, multiplying a function by a positive number greater than 1 results in vertical stretch of the function's graph.
2. Multiply by -1. Multiplying a function by -1 flips it over the x axis.
3. Add -7 to the function obtained in step 2. When a negative number C is added to a function, then the graph shift down by C units. So, here the graph shifts down by 7 units.
Thus, the graph of is the graph of stretched vertically, flipped over the x axis, and shifted 7 units down.
Answer: 4
<u>Step-by-step explanation:</u>
Let P represent Pete's age today. Let C represent Claire's age today.
2 years ago: P - 2 = 3(C - 2) ⇒ P - 2 = 3C - 6 ⇒ P = 3C - 4
4 years ago: P - 4 = 4(C - 4) ⇒ P - 4 = 4C - 16 ⇒ P = 4C - 12
Use substitution to solve the system above:
3C - 4 = 4C - 12
- 4 = C - 12
8 = C
Plug in the C-value above into one of the equations to solve for P:
P = 3C - 4
= 3(8) - 4
= 24 - 4
= 20
So, Pete is 20 yrs old today and Claire is 8 years old today
When will Pete be twice as old as Claire?
20 + x = 2(8 + x)
20 + x = 16 + 2x
20 = 16 + x
4 = x
Their ages will have a 2:1 ratio in 4 years.
Answer: width = 11 m
Concept:
Here, we need to understand how to find the area of a rectangle.
In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.
A = w · l
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = w + 3
A = 154 m²
<u>Given formula</u>
A = w · l
<u>Substitute values into the formula</u>
154 = w · (w + 3)
<u>Expand Parentheses (Distributive property)</u>
154 = w² + 3w
<u>Subtract 154 on both sides</u>
154 - 154 = w² + 3w - 154
0 = w² + 3w - 154
<u>Solve for the quadratic equation</u>
(w - 11) (w + 14) = 0
w = 11 or w = -14 (Neglected because length cannot be negative)
Hope this helps!! :)
Please let me know if you have any questions