Let f be the height of the fir trees
Let p be the height of the pine trees
We know from the problem that
f + p = 21 and 4f = 24 + p
rearrange the 2nd equation to get p = 4f - 24 and substitute into the other equation
so...
f + 4f - 24 = 21
5f - 24 = 21
5f = 45
f = 9 - height of the fir tree
substitute back into the 1st equation
9 + p = 21
p = 12 - height of the pine tree
The single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation
<h3>How to determine the transformation?</h3>
From the figure, we have:
- Shape A is twice the size of shape B
- Both shapes can be rotated by 180 degrees in either direction to map onto the other, after dilation.
This means that:
The scale of dilation from shape A is:
k = 1/2
Hence, the single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation
Read more about transformations at:
brainly.com/question/11707700
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The factors of the equation are 
.
Given
Equation; 
.
<h3>What is the Factor Theorem?</h3>
The Factor Theorem states that a polynomial function with roots is given by:
Where a is the leading coefficient.
The factors of the equation are;
Hence, the factors of the equation are .
To know more about factors click the link given below.
brainly.com/question/195124
<u>Answer:</u>
31 dollars
<u>Step-by-step explanation:</u>
460 miles in total ÷ 23 miles per gallon of fuel = 20 gallons
20 gallons x $1.55 a gallon = $31 dollars
Hopefully this helped! Sorry if wrong! You are loved and you are beautiful/handsome!
-Bee
Answer:
y=-3/2x+2
Step-by-step explanation:
