Answer:
<h2>48</h2>
Step-by-step explanation:
(1)
apple × apple × 2apple = 54
2apple³ = 54 <em>divide both sides by 2</em>
apple³ = 27 → apple = ∛27
apple = 3
(2)
apple + apple × green_apple = 24 <em>substituite apple = 3</em>
3 + 3 × green_apple = 24 <em>subtract 3 from both sides</em>
3 × green_apple = 21 <em>divide both sides by 3</em>
green_apple = 7
(3)
strawberry - bannana - banana = 0 → strawberry = 2banana
(4)
strawberry + banana + cherry = 24 <em>substitute from (3)</em>
2banana + banana + cherry = 24
3banana + cherry = 24
(5)
apple + banana - cherry = -1 <em>substitute apple = 3</em>
3 + banana - cherry = -1 <em>subtr3 from both sides</em>
banana - cherry = -4
Add both sides of (4) and (5)
3banana + cherry = 24
<u>+banana - cherry = -4 </u>
4banana = 20 <em>divide both sides by 4</em>
banana = 5
Substitute it to (4):
3(5) + cherry = 24
15 + cherry = 24 <em>subtract 15 from both sides</em>
cherry = 9
Substitute to the last equation:
3 + 5 × 9 = 3 + 45 = 48
/USED PEMDAS/
The answer is 60... Draw a rectangle. Now draw a line that splits the bottom left corner in two but also cuts the long side on the top in half. A rectangle has 4 right angles right? So the bisector, or a line that splits something in half, splits the right angle, a 90 degree angle, in half making it a 45 degree angle. Did you notice the bisector made a triangle?
A triangle has angle measures that always add up to 180 degrees. So you know that triangle has two angles: a 45 and 90 degree angle... Add those up and you get 135. 180-135 gives you the other angle: 45 degrees...
So you know that the triangle is a 45-45-90 triangle... The two legs or side lengths that I marked on the triangle with a small line are congruent in a 45-45-90 triangle and since the short leg of the rectangle is equal to 10cm and the split in half long side of the rectangle is also 10 which you double to 20. 20+20+10+10=60.
Answer:
C.
Step-by-step explanation:
So, here's what you need to remember:
If we have a function <em>f(x)</em> and a factor <em>k</em>:
<em>k(f(x)) </em>will be a vertical stretch if k is greater than 1, and a vertical compression if k is greater than zero but less than 1.
<em>f(kx) </em>will be a horizontal compression if k is greater than 1, and a horizontal stretch if k is greater than zero but less than 1.
We are multiplying 0.5 to the function. In other words: 0.5f(x).
This is outside the function, so it's vertical.
0.5 is less than 1, so this would be a vertical compression
Answer:
26
Step-by-step explanation:
