Answer:
-8>x>6
Step-by-step explanation:
I 5x+5I +22> 57subtract 22 on both sides
I5x+5I >35
SPLIT
5x+5>35 5x+5< -35 ( flip sign and 35 negative)
5x>30 5x< -40
x>6 x< -8
Draw a number line Write zero in the middle
From zero count to the left until- 8 make an open circle because- 8 is not included From -8 draw an arrow to the left (because x is less than -8)
From zero count to the right until 6 Make an open circle bc 6 is not included. From 6 draw an arrow to the right (because x is more than 6)
PART 2 is not already solved?
If you need to solve fot t
Divide both parts by pr
t= (l/ pr)
Answer:
200 / (3.14*(28/12)) = 27.3
Step-by-step explanation:
Answer:
Part 1) The perimeter is ![P=6\sqrt{6}\ cm](https://tex.z-dn.net/?f=P%3D6%5Csqrt%7B6%7D%5C%20cm)
Part 2) The diagonal is ![d=\sqrt{30}\ cm](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B30%7D%5C%20cm)
Step-by-step explanation:
<u><em>The question in English is</em></u>
You have a rectangle whose base is twice the height and its area is 12
square centimeters. Calculate the perimeter of the rectangle and its diagonal
step 1
Find the dimensions of rectangle
we know that
The area of rectangle is equal to
![A=bh](https://tex.z-dn.net/?f=A%3Dbh)
![A=12\ cm^2](https://tex.z-dn.net/?f=A%3D12%5C%20cm%5E2)
so
----> equation A
The base is twice the height
so
----> equation B
substitute equation B in equation A
![(2h)h=12\\2h^2=12\\h^2=6\\h=\sqrt{6}\ cm](https://tex.z-dn.net/?f=%282h%29h%3D12%5C%5C2h%5E2%3D12%5C%5Ch%5E2%3D6%5C%5Ch%3D%5Csqrt%7B6%7D%5C%20cm)
Find the value of b
![b=2\sqrt{6}\ cm](https://tex.z-dn.net/?f=b%3D2%5Csqrt%7B6%7D%5C%20cm)
step 2
Find the perimeter of rectangle
The perimeter is given by
![P=2(b+h)](https://tex.z-dn.net/?f=P%3D2%28b%2Bh%29)
substitute
![P=2(2\sqrt{6}+\sqrt{6})\\P=6\sqrt{6}\ cm](https://tex.z-dn.net/?f=P%3D2%282%5Csqrt%7B6%7D%2B%5Csqrt%7B6%7D%29%5C%5CP%3D6%5Csqrt%7B6%7D%5C%20cm)
step 3
Find the diagonal of rectangle
Applying the Pythagorean Theorem
![d^2=b^2+h^2](https://tex.z-dn.net/?f=d%5E2%3Db%5E2%2Bh%5E2)
substitute
![d^2=(2\sqrt{6})^2+(\sqrt{6})^2](https://tex.z-dn.net/?f=d%5E2%3D%282%5Csqrt%7B6%7D%29%5E2%2B%28%5Csqrt%7B6%7D%29%5E2)
![d^2=30](https://tex.z-dn.net/?f=d%5E2%3D30)
![d=\sqrt{30}\ cm](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B30%7D%5C%20cm)
Answer:
Equate the divisor to 0
2x-1=0
2×=1
×=1/2
Putting onto the polynomial
f(1/2) = (1/2)³-1/2)²+3(1/2)-2
=-5/8