<h3>
Answer:</h3>
12 units²
<h3>
Step-by-step explanation:</h3>
Counting half-squares around the perimeter of the rectangle, we find there are 10. Counting full squares inside the rectangle, we find there are 7. Then the total area is
... (1/2)·10 +7 = 12 square units
_____
<em>Alternate calculation</em>
The long side is the hypotenuse of a right triangle with legs 3, so has length 3√2. The short side is the hypotenuse of a right triangle with legs 2, so has length 2√2. The area is the product of these lengths, so is ...
.. area = (3√2)(2√2) = 6(√2)² = 6·2 = 12 . . . square units
Answer:
x/2=87.2
Step-by-step explanation:
Pip was thinking of a number - Let's call this number x
Pip halve the number - So half of x = x/2 (or 1/2 x)
And gets an answer of 87.2 - x/2=87.2
So your equation would be x/2=87.2
I hope this helps :)
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Using the slope formula. we get
![\dfrac{9-5}{-5-(-7)}=2](https://tex.z-dn.net/?f=%5Cdfrac%7B9-5%7D%7B-5-%28-7%29%7D%3D2)
![\dfrac{13-9}{-3-(-5)}=2](https://tex.z-dn.net/?f=%5Cdfrac%7B13-9%7D%7B-3-%28-5%29%7D%3D2)
![\dfrac{17-13}{-1-(-3)}=2](https://tex.z-dn.net/?f=%5Cdfrac%7B17-13%7D%7B-1-%28-3%29%7D%3D2)
Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![y-5=2(x-(-7))](https://tex.z-dn.net/?f=y-5%3D2%28x-%28-7%29%29)
![y-5=2(x+7)](https://tex.z-dn.net/?f=y-5%3D2%28x%2B7%29)
![y-5=2x+14](https://tex.z-dn.net/?f=y-5%3D2x%2B14)
Adding 5 on both sides, we get
![y-5+5=2x+14+5](https://tex.z-dn.net/?f=y-5%2B5%3D2x%2B14%2B5)
![y=2x+19](https://tex.z-dn.net/?f=y%3D2x%2B19)
Therefore, the equation for the given data is
.
Answer:
Step-by-step explanation:
A.)Priscilla made a mistake when applying the horizontal shift. That "x+2" indicates a horiz. shift to the LEFT, not to the right.
Answer:
C (Third one down)
Step-by-step explanation:
Inverse of a graph