Answer:
Step-by-step explanation:
utilise the Foil method to expand brackets:
F - mulply the first terms (x and x)
O - multiply the outside terms ( x and -2)
I - multiply the inside terms (5 and x)
L - multiply the last terms (5 and -2)
Then add them as following:
Then combine like terms:
Let unit cost of one rake be : r
Given : Total number of volunteers = 12
Given : Each pair of gloves cost $8.00
⇒ Cost of 12 pair of gloves for 12 volunteers = (12 × 8) = $96
Given : The gardener spends a total of $300 on both rakes and gloves
⇒ Cost of 12 rakes + Cost of 12 pair of gloves = $300
⇒ 12r + 96 = 300
⇒ 12r = 204
⇒ r = 17
<u>Answer</u> : Cost of one rake is $17
Answer:
Below.
Step-by-step explanation:
a. Φ^2 − Φ − 1 = 0
Φ2 − Φ = 1
(Φ - 0.5)^2 - 0.25 = 1
(Φ - 0.5)^2 = 1.25
Φ - 0.5 = √(1.25) (We only take the positive root).
Φ = 0.5 + √(1.25)
b. I used Completing the square.
c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.
Answer:
c; 1 / (a^12)(b^8)
Step-by-step explanation:
when the exponent is outside a number you multiply the outside exponent by the inside exponent
so far after multiplying exponents you have
a^-12 / b^8
but you must put the 12 on the bottom so that all exponents can be positive
1 / (a^12)(b^8)
Answer: Let's start by writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
Hope this helps plz mark brainliest
Step-by-step explanation:
