1.8(14)+25=50
after 14 months, paulette has 75 DVDs in her collection
So
-4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4
the 2 last equations look perfect for canceling each other so add them together
-2x-5y-2z=12
<u>-2x+5y+2z=4 +</u>
<u />-4x+0y+0z=16
-4x=16
divide both sides by 4
-x=4
multiply -1
x=-4
now we have
-4x-5y-z=18
-2x+5y+2z=4
add them together
-6x+0y+z=22
but x=-4 so
-6(-4)+z=22
24+z=22
subtract 24 from both sides
z =-2
subsitute into any equation
-2x-5y-2z=12
x=-4
z=-2
-2(-4)-5y-2(-2)=12
8-5y+4=12
12-5y=12
subtract 12 from both sides
-5y=0
y=0
x=-4
y=0
z=-2
Answer:
20°
Step-by-step explanation:
To find ∠C you don't even need 90° unless you would want to check if you are correct. to find ∠C you would just look for the whole triangle, so basically A + B + C = 180.
80 + 30 = 110
180 - 110 = 70
∠C = 70
Then you would take 70° and subtract it to 90° since it is a right angle combined with x and you would get your answer which is 20°.
Answer:
a=-1 b=3 h=-4 k=5. Hope this helps.
Step-by-step explanation:
We need to find transformations from f(x) to g(x).
K is formula usually means vertical shift. Vertical shift are usually at right end of formula. f(x) has a vertical shift of zero, while g(x) vertical shift is 5. So our k is 5.
h represent our horizontal shift in a equation.
Our horizontal shift is opposite of the sign given.
F(x) has no hoeinzontal shift, while g(x) has x+4.
Set x+4=0
so our h is -4.
B represent our horizontal compression or stretch.
Our horizontal compression/stretch is reciprocal of our b given.
f(x) has no compression or stretch, while g(x) has 1/3x.
Set 1/3x to one.
so our b is 3.
A represents the vertical compression/ stretch. F(x) doesnt have one but G(x) does.
Since it has just a negative sign in front of it, the compression is -1 so a=-1
Answer:
B. 96 units
Step-by-step explanation:
DA is 6 units and HE is 36 units. There are the same side, but HE is 6 times larger.
AB is 16 units, but since all the sides on the left shape are 6 times larger, EF has to be 16*6, which is 96 units.
Hope this helps
