Answer:
See below.
Step-by-step explanation:
Shape A is congruent to shape <u>___F___</u>, as shown by a reflection across the y-axis and then a translation down <u>__3___</u> units. B is congruent to shape <u>__D__</u>, as shown by a reflection across the y-axis and then a translation down <u>__2___</u> units
Answer:
Put a picture of the whole thing
Step-by-step explanation:
Answer:
Step-by-step explanation:
Eq. 1 ) −5x−3y−9=0
Eq. 2) 4x−18y−54=0
there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)
6 *( −5x−3y−9=0 )
Eq. 3) -30x -18y =54
subtract Eq. 2 from Eq. 3 :)
-30x -18y =54
<u>-( 4x−18y=54)</u>
-34x = 0
so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,
then:
-5x = 9 +3y
x = - 9/5 + (-3/5)y
now plug that into Eq. 2
4( - 9/5 + (-3/5)y ) - 18y = 54
-36/5 + (-12/5)y -18y = 54
(-12/5)y - (90/5)y = 54+36/5
-(102/5)*y =270/5+36/5
-(102/5)y = 306/5
y = (-5/102)*(306/5)
y = -306/102
y = -3
then plug in for either equation
-5x-3( -3) = 9
-5x + 9 = 9
-5x = 0
x = 0
now we have the full answer
check it by plugging in both x and y into the 2nd equation
4(0) - 18(-3) = 54
54= 54
this seems good
Answer:
48x-5
Step-by-step explanation:
multiply
5*8x
to get
8x+40x-5
combine like term
48x-5
First we need the total of both children and adults that like all the flavors:
12 + 5 + 20 + 23 + 11 + 16 = 87 total people
then find the number of adults that like sweet mint: from the table 11 adults like sweet mint
to find the probability divide the number of adults who like sweet mint by the total number of people:
11 / 87 = 0.126
the answer is A
