A and C is enlargement
B,D,E is reduction
You have to plug in 7 for f and 8 for k making it look like -5(7)-2+8-3(8), now multiply to get the further more, -35-2+8-24, now add or subtract to get -53
Hope this helps
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
Answer:
6
Step-by-step explanation:
(8/3) / (-4/9)
when dividing fractions you use the acronym k.c.f (keep change flip)
keep the first fraction
change the operation (divide to multiply)
flip the other fraction
(8/-3) x (9/4)
after re-writing your expression, you want to solve
do this by multiplying both numerators by each other and same with the denominators
(-8x9) / (3x-4)
then you get a new fraction,
-72/-12
simplify,
-72/-12 = 6 (multiplying/dividing 2 negatives will always give you a positive)
Answer:
1188 grams of water
Step-by-step explanation:
x is the grams of water
so total is 12+x grams
sugar/total is 12/12+x
and 1% ratio is 12/12+x=1/100
so x would be 1188 grams of water.
