A rotation around the origin of 180° and an enlargement by a scale factor of 3
Answer:
see below
Step-by-step explanation:
80 = 4* 20
2*2 2 * 10
2 *5
We are breaking the numbers into primes
2*2*2*2*5
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
Answer:
7
Step-by-step explanation:
10.5*2/3= 3.5*2=7
Answer:
x=4.5 and y= -6
Step-by-step explanation:
2x+5y= -21
-2x+3y= -27
add the two equations: 8y= -48
y=-48/8= -6
sub for y in 2x+5y= -21
2x + 5(-6)=-21, 2x-30= -21
2x= -21+30= 9
x= 9/2=4.5
