F(-3)=(-3)2 - 1 / -3 + 4
f(-3)= -6 -1 / -3 + 4
f(-3)= -7/1
f(-3)=-7
Answer:
b= 4 in.
Step-by-step explanation:
Ok. So the area of a triangle is base * height divided by 2.
So, the base is b and the height is 3b.
b*3b= 3b^2.
Now, divide that by 2.
(3b^2)/2.
Now, we know what the area is already- 24 in.^2. So, let's set the area expression that I found earlier equal to this area, since they're the same.
(3b^2)/2 = 24
3b^2 = 48
b^2 = 16
Ok. Let's stop here. Now, we square root both sides to obtain b, but we are presented with a problem here. B can equal both 4 and -4 right? Since -4*-4=16 and 4*4=16. However, it is impossible for a 2d shape to have negative measurements. So, the answer is 4.
Answer:
22 cakes
Step-by-step explanation:
5 1/2kg = 11/2 = 22/4
22/4 is what you have in sugar while you only need 1/4 per cake, so you can make 22 cakes
Answer:
61 , 63 , 65 , 67
Step-by-step explanation:
Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:
(x) + (x + 2) + (x + 4) (x + 6) = 256
First, simplify. Combine all like terms:
x + x + x + x + 2 + 4 + 6 = 256
4x + 12 = 256
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides of the equation:
4x + 12 (-12) = 256 (-12)
4x = 256 - 12
4x = 144
Next, divide 4 from both sides of the equation:
(4x)/4 = (144)/4
x = 144/4
x = 61
61 is your first number. Find the next 3 consecutive numbers:
x = 61
x + 2 = 63
x + 4 = 65
x + 6 = 67
Check:
61 + 63 + 65 + 67 = 256
256 = 256
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