Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
Answer:
Coordinates of point P is
.
Step-by-step explanation:
Given that mid point of line segment
is at <em>M(-9, 8.5).</em>
Q is at <em>(-4, 14)</em>.
Let coordinate of P be
.
Using the ratio, we can say the following:
<em>The coordinates of mid point</em>
of a line with endpoints
and
is given as:
![X=\dfrac{(x_1+ x_2)}{2}](https://tex.z-dn.net/?f=X%3D%5Cdfrac%7B%28x_1%2B%20x_2%29%7D%7B2%7D)
![Y=\dfrac{(y_1+ y_2)}{2}](https://tex.z-dn.net/?f=Y%3D%5Cdfrac%7B%28y_1%2B%20y_2%29%7D%7B2%7D)
Using the formula for above given dimensions:
![-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14](https://tex.z-dn.net/?f=-9%20%3D%5Cdfrac%7Bx%2B%28-4%29%7D%7B2%7D%5C%5C%5CRightarrow%20x%20%3D%20-18%2B4%20%3D%20-14)
![8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3](https://tex.z-dn.net/?f=8.5%3D%5Cdfrac%7B%2814%2B%20y%29%7D%7B2%7D%5C%5C%5CRightarrow%20y%20%3D%2017-14%20%3D3)
So, the <em>coordinates of point P are</em>
.
Answer:
The First Image
Step-by-step explanation:
A dilation is a type of transformation that enlarges or reduces a figure, therefore in the first Image we see an increase in scale factor of 2.
Kelsey must spend less than or equal to $65.
The expression 5.50b+7.5 is correct
Kelsey able to purchase 10 books.
On the end Kelsey can spend $2.50 to purchase small present (calendar or book for notes)
Answer: The graph shows that people procrastinate by doing their taxes mostly in April then in the beginning of the year in January
Step-by-step explanation: think about it the name in the title has procrastinated in it which means holding off for a certain amount of time, then look at the graph most the people held off until April, why must you ask? Because the taxes are higher in the beginning of the year