Answer:
yes, correct
Step-by-step explanation:
6c - 48 = 6*c - 6 *8
= 6* (c-8)
1) The y- axis is where x = 0, so the line "y = -1/2x - 3" will cross the y-axis when x = 0. You plug in "x = 0" into the equation, and get y = 0 -3, so y = -3. That means the line " y = -1/2x - 3" will cross the y-axis ar (0, -3)
2) If there are 2 parallel lines, then there is no solution, because the definition of parallel lines is, " 2 lines in the same plane, that never meet." That makes the solution inconsistent.
Answer:
A=80
B=31
C=64
Step-by-step explanation:
A, 69, and b will equal 180 since it forms a straight line
A+69+b=180
to solve for A we subtract 53+47 from 180 and get 80
80+69+b=180
to get B we subtract 80+69 from 180 and get 31
to get c we add 85+b and subtract it from 180 getting c=64
Answer:
[(2)^√3]^√3 = 8
Step-by-step explanation:
Hi there!
Let´s write the expression:
[(2)^√3]^√3
Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):
[(2)^(3^1/2)]^(3^1/2)
Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:
(2)^(3^1/2 · 3^1/2)
Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ
(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8
Then the expression can be written as:
[(2)^√3]^√3 = 8
Have a nice day!
Answer:
No, Elias doesn't have enough quantity of each ingredient to make 45 mince pies.
Step-by-step explanation:
For making 18 Mince Pies Elias needs
200g Butter
225g flour
150g sugar
250g Mincemeat
1 egg
Inorder to make 45 mince pie's he's gonna need 45/18=2.5 times the ingredients he needs to make 18 Mince Pies.
As he doesn't have enough Mincemeat (has only 600g but needs 250*2.5=625g of mincemeat)
As he is short of 25g of Mincemeat, he is unable to make 45 Mincepies.
