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Lady bird [3.3K]

3 years ago

9

John is placing cement tiles for a patio in a rectangle surrounding a

1 answer:

weeeeeb [17]3 years ago

4 0

Answer:

31x + 55 sq. ft.

Step-by-step explanation:

Width of Fire Pit = x ft. Length of Fire Pit = 4x ft.

Width of Patio = x + 5 ft. Length of Patio = 4x + 11 ft. Area of Fire pit = 4x * x = 4x² sq, ft.

Total Area of Rectangular Patio (including Fire pit) = (4x + 11)(x+5)

= 4x² + 31x + 55 sq. ft.

Area for which tiling is done = Area of Rectangular patio - Area of fire pit

= 4x² + 31x + 55 - 4x²

= 31x + 55 sq. ft.

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What is 6 divided by 1/2?

Lemur [1.5K]

Answer:

12

Step-by-step explanation:

Make 6 a reciprocal which would be 1/6 then change the division sign to multiplication so 1/6 x 1/2 will be 12

8 0

3 years ago

What’s the answer and plz give a explantion

Ber [7]

40 in^2 because you add all sides that would match to the side and multiply by 2

3 0

3 years ago

PLEASE HELP HURRY!!!!!!!

Charra [1.4K]

As it has been given that $x=4+5i$ , $y=2-9i$ .

We need to find the value of the following:

(i) $4x-y$ , substituting the value of 'x' and 'y' in the expression, we get:

$4(4+5i)-(2-9i)=4\times 4+4\times 5i-2+9i=16+20i-2+9i$

$=14+29i$

So, $4x-y=14+29i$

(ii) $-x+3y$ , substituting the value of 'x' and 'y' in the expression, we get:

$-(4+5i)+3(2-9i)=-4-5i+3\times 2-3 \times 9i=-4-5i+6-27i$

$=2-32i$

So, $-x+3y=2-32i$

(iii) $x \times y$ , we need to substitute the value of 'x' and 'y' in the expression, for this, we can use distributive property of multiplication that says,

$a(b+c)=a \times b+ a \times c$

Using the distributive property of multiplication:

$(4+5i)\times(2-9i)=4 \times 2-4 \times 9i+5i \times 2-5i \times 9i$

$=8-36i+10i-45i^2$

Now, we know that $i \times i=i^2=-1$

We get, $8-36i+10i-45 \times (-1)=8-26i+45$

$=8+45-26i=53-26i$

Therefore, $x \times y$ = $53-26i$ .

(iv) We have, $2x \times y$ , we need to substitute the value of 'x' and 'y' in the expression, we get:

$2(4+5i)\times (2-9i)$

Again, we can use distributive property of multiplication that says,

$a(b+c)=a \times b+ a \times c$

So,

$2(4+5i) \times (2-9i)=2\times 4+2 \times 5i\times(2-9i)$

$=8+10i \times(2-9i)=8\times 2-8 \times 9i+10i \times 2-10i \times 9i$

$=16-72i+20i-90i^2$

since, $i^2=-1$

we get,

$16-72i+20i-90 \times (-1)=16-52i+90$

$=106-52i$

Therefore,

$2x \times y=106-52i$

7 0

4 years ago

Read 2 more answers

What is the slope of the line connecting the pair of points (0,7) (4,12)

gizmo_the_mogwai [7]

Answer: 5/4

Step-by-step explanation: That should be right because I have big brain. Mark brainlist please :)

5 0

3 years ago

What is the intermediate step in the form (x + a)2 = b as a result of completing the

irina [24]

Answer:

So the intermediate step in question is (x - 10)² = 66

Step-by-step explanation:

Let's find out:

x² + 34 = 10x

x² - 10x = -34

x² - 20x + 100 = 66

(x - 10)² = 66

x - 10 = ± √66

x = 10 ± √66

x ≈ 18.12, 1.88

5 0

3 years ago