He needs 5 1/4 more cups of batter.
Answer:
11/84
Step-by-step explanation:
Simplify 7/8 +2/3 to 37/24
4/7 × 37/24 -3/4
Use this rule: a/b x c/d = ac/bd
4 x 37 - 3
7 x 24 - 4
Simplify 4 ×37 to 148
148/7 x24 - 3/4
Simplify 7 ×24 to 168
148/168 - 3/4
Simplify 148/ 168 to 37/42
37/42 - 3/4
Simplify.
anddd the answer is
11/84
Given:
The function is:
![f(x)=x^2-x+1](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-x%2B1)
To find:
The result of the operation
.
Solution:
If
, then the graph of f(x) is reflected across the x-axis to get the graph of g(x).
We have,
![f(x)=x^2-x+1](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-x%2B1)
The given operation is:
![-f(x)=-(x^2-x+1)](https://tex.z-dn.net/?f=-f%28x%29%3D-%28x%5E2-x%2B1%29)
So, it will result in a reflection across the x-axis.
Therefore, the correct option is A.
Answer:
Reflection
Step-by-step explanation:
A rotation would be to rotate a figure around the origin
A reflection would be to reflect the figure around one of the axes.
A translation would be to move a figure a certain amount of units.
Since A and A' are 2 units away from the y-axis, and C, B, B', and C' are all one unit away from the y-axis, this could not be a translation because the position of A'B'C' is not the same position of ABC.
It could not be a rotation around the origin or any point because it would result the figure in either Quadrant 2 or 3, and in the one occasion it would be in Quadrant 1, the figure cannot be in that position.
This reveals only one option, that which is a reflection. A reflection about the x-axis would not make sense, since it would result in Quadrant 3, so a reflection around the y-axis would make the most sense.
The data we have above also accounts for a reflection, since all points are a certain distant away from the y-axis.
Answer:
13 unit
Step-by-step explanation:
By the distance formula,
The distance between two points
and
is,
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Thus, the distance between B(8,-7) and C(-4,-2) is,
![BC=\sqrt{(-4-8)^2+(-2+7)^2}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%28-4-8%29%5E2%2B%28-2%2B7%29%5E2%7D)
![=\sqrt{(-12)^2+(5)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28-12%29%5E2%2B%285%29%5E2%7D)
![=\sqrt{144+25}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B144%2B25%7D)
![=\sqrt{169}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B169%7D)
![=13\text{ unit}](https://tex.z-dn.net/?f=%3D13%5Ctext%7B%20unit%7D)