Usually, quadratic equations equal 0, and to find the solution you need to make x equal the value that, when added or subtracted to the rest of its bracket, makes 0. This means that your answer is (x + 5)(x - 2) = 0, because 5 - 5 = 0 and 2 - 2 = 0. I hope this helps! Let me know if you would like me to explain further :)
Answer:
The shape has a total area of 14.96cm²
Step-by-step explanation:
To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.
The outer rectangle is 5.6 by 6.4 cm. To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².
Next the inner rectangle needs to be subtracted. First though, we need its width, which we're not directly given.
We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle. All we need to do then is subtract the later from the former to the the inner rectangle's width:
5.6cm - 1.2cm - 0.8cm = 3.6cm
Great! The inner rectangle has an area of 3.6cm × 5.8cm. That gives us 20.88cm².
The final step is to subtract that 20.88 square cm from the 35.84 that we already have. Doing so gives us a result of 14.96cm², and that is the final answer.
Let x, x+1,x+2, x +3 are the <span>numbers
so
</span>x + x +1 + x +2 +x +3 = 198
4x + 6 = 198
4x =198-6
4x = 192
x = 192/4
x = 48
x + 1 = 48 + 1 = 49
x + 2 = 48 + 2 = 50
x + 3 = 48 + 3 = 51
proof
48 + 49 + 50 + 51 = 198
so the numbers are 48, 49, 50, 51
fourth number in this sequence is 51
