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Citrus2011 [14]
2 years ago
6

Find the area and perimeter of the shape above

Mathematics
1 answer:
ELEN [110]2 years ago
5 0

Answer:

Perimeter: 18.5

Area: 15

Step-by-step explanation:

P = a + b + c

P = 5 + 6 + 7.5

P= 18.5

A = 1/2bh

A = 1/2*7.5*4

A= 15

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se
kolbaska11 [484]

Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

Given:

The expression to expand is given as:

(x-3)(x-9)(x-4)

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

3 0
2 years ago
Jejdhsgeuekdskdjduuwwoiehrddujeejdhxu
Dimas [21]
Jssjsjsjsjsjdjidjebsvabbxjxjufiwiwj .
3 0
3 years ago
Read 2 more answers
Can you please help me on this one, I'm stuck =(<br>​
natka813 [3]

Answer:

wow. this is a hard one. i would choose that c would be 2 and d would be 6.

Step-by-step explanation:

well, what i did was first went ahead and reflected the x-axis. then, i made the first translation, c. then, i went ahead and found out the translation of d. YOU COUNT THE SQUARES.

8 0
3 years ago
Exponential 2^2/2^-3​
kenny6666 [7]

Answer: 32

Step-by-step explanation:

2^2 is 4

2^-3 = 1/8

and 4/1/8 is 32

3 0
3 years ago
3. A game console originally is priced at $120. Demand increases the cost by 75%. What is the new price? Show your work ​
morpeh [17]

Answer:

New price = $210

Step-by-step explanation:

Given:

Original price = $120

Increase in cost = 75%

Find:

New price

Computation:

New price = Original price + Increase in cost

New price = 120 + 120(75%)

New price = 120 + 90

New price = $210

8 0
3 years ago
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