Answer:
2.5
Step-by-step explanation:
A triangle ABC with vertices A(0, 0), B(0, 4), and C(6, 0) is dilated to form a triangle A'B'C' with vertices A′(0, 0), B′(0, 10), and C′(15, 0). If the center of dilation is point A or A' (the origin), then

Since
- AB=4;
- A'B'=10;
- AC=6;
- A'C'=15,
then the scale factor of the dilation is

I need more information to answer this
We have the equation:

By arranging this equation in terms of x and y, we have:

By using the method of completing the square, we have:

The center of this circle is:

So the equation that fulfills the statement is:

Finally, the right answer is c)
Answer: yes , it is possible
Step-by-step explanation:
Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.
Combining the two , we have :
x + y = 1 ............................... equation 1
x - y = 8 ................................. equation 2
solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,
x = 1 - y ...................... equation 3
Substitute equation 3 into equation 2 ,
1 - y - y = 8
1 - 2y = 8
add 2y to both sides
1 = 8 + 2y
subtract 8 from both sides
1 - 8 = 2y
- 7 = 2y
divide through by 2
y = 
y = - 3.5
substitute y = -3.5 into equation 3 to find the value of x , we have
x = 1 - y
x = 1 - ( - 3.5 )
x = 1 + 3.5
x = 4.5
Let us check :
x + y will be
4.5 + (-3.5) = 1
Also ,
x - y will be
4.5 - (-3.5)
⇒ 4.5 + 3.5 = 8
Answer:
The value of x is 1 and y = -2
Step-by-step explanation:
y = 2x²- 3x - 1;
y = x - 3
2x²- 3x - 1 = x - 3
2x² - 3x - 1 - x + 3 = 0
2x² - 4x + 2 = 0
take 2 as common
2(x² - 2x + 1) = 0
x² - 2x + 1 = 0
x² - x - x + 1 = 0
x(x - 1) - 1(x - 1) = 0
(x - 1) (x - 1) = 0
x - 1 = 0 or x - 1 = 0
x = 1 or x = 1
Now,
y = x - 3
y = 1 - 3
y = - 2
Thus, The value of x is 1 and y is -2
<u>-TheUnknown</u><u>Scientist</u>