The transformation(s) that can be used to map one triangle onto the other is : (C). dilation, then translation
<h3>Meaning of dilation and translation</h3>
Dilation can be defined as the process of compressing and reducing a shape to a particular scale
Translation can be defined as a process of transferring a shape from one point to another.
In conclusion, The transformation(s) that can be used to map one triangle onto the other is : (C). dilation, then translation
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Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
Answer:
T must be 3/(3+1) or 3/4ths of the way between point d and f.
Take (dx, dy) and add 3/4 (fx-dx, fy-dy) by components and that will be point T (Tx, Ty)
You find the distances between d and f in x and y and then move 3/4 of that distance from d.
Step-by-step explanation:
Im not too sure, I got the answer from my last test. It might be wrong
Answer:
17
Step-by-step explanation:
575/32=17.96875 or 17
