Answer:
A
Step-by-step explanation:
First picture)
I: 5x+2y=-4
II: -3x+2y=12
add I+(-1*II):
5x+2y-(-3x+2y)=-4-12
8x=-16
x=-2
insert x=-2 into I:
5*(-2)+2y=-4
-10+2y=-4
2y=6
y=3
(-2,3)
question 6)
I: totalcost=115=3*childs+5*adults
II: 33=adults+childs
33-adults=childs
insert childs into I:
115=3*(33-adults)+5*adults
115=99-3*adults+5*adults
16=2*adults
8=adults
insert adults into II:
33-8=childs
25=childs
so it's the last option
question 7)
a) y<6 and y>2 can also be written as 2<y<6, so solution 3 exist for example
b) y>6 and y>2 can also be written as 2<6<y, so solution 7 exist for example
c) y<6 and y<2 inverse of b: y<2<6, so for example 1
d) y>6 and y<2: y<2<6<y, this is impossible as y can be only either bigger or smaller than 2 or 6
so it's the last option
question 8)
I: x+y=12
II: x-y=6
subtract: I-II:
x+y-(x-y)=12-6
2y=6
y=3
insert y into I:
x+3=12
x=9
(9,3)
question 9)
I: x+y=6
II: x=y+5
if you take the x=y+5 definition of II and substitute it into I:
(y+5)+y=6
which is the second option :)
Answer:
A. 2564 cm^2
Step-by-step explanation:
There are two triangles (Which both are the same) and three different rectangles.
1. Let's solve the area of the triangles first!
Formula: bh(1/2)
10(26)(1/2)
130
2. Now, let's multiply by 2 since there's two of them:
130(2) = 260
3. So, we got 260. Let's find the area of the three rectangles!
Formula: bh
Rectangle A: 28(36) = 1008
Rectangle B: 10(36) = 360
Rectangle C: 26(36) = 936
4. Add the area of the triangles and the rectangles!
260 + 1008 + 360 + 936 = 2564
So the surface area is 2564 cm^2
Hope this helps! <3
Answer: Your answer would be -120
Step-by-step explanation: Remove Parentheses (3 + 3) add them together and make it 6 and plug in the 6 into the equation. -4 x 6 x 5. Then, you multiply the numbers together and get -120. There is no inverse for -120 since both sides aren't equal.
I hope this helps you!!