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2 years ago

11

NEED HELP ASAP!! Which expressions are equivalent to the one below? Check all that apply. 16x

1 answer:

rewona [7]2 years ago

4 0

Answer:

f,c,d is the one who are equivalent

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which term best represents the intersection of two walls next to each other in a room? plane line angle point

r-ruslan [8.4K]

For this case we are talking about the intersection of two planes.

The walls can be modeled as two planes.

Two planes in this case intersect in a set of points.

This set of points by definition form a line.

Therefore, the term that best describes the intersection between both planes is:

Line

Answer:

The term that best represents the intersection of two walls next to each other in a room is:

Line

7 0

3 years ago

Read 2 more answers

Emily wins 22000$. She has to pay 10% for charity and then she decides to buy a car for 10800$. She divides the rest of them bet

devlian [24]

Answer:

$7 200

Step-by-step explanation:

Amount of money paid for charity = $\frac{10}{100}$ × $22 000

= $2 200

Remaining money left for children = $22 000 - $2 200 - $10 800

= $9000

Let the amount of money her son receives be x and the amount her daughter gets be 4x.

Son's $ + Daughter's $ = $9000

x + 4x = 9000

5x = 9000

Amount of money her daughter gets (4x) = $\frac{4}{5}$ × 9000

= $7 200

4 0

3 years ago

A^2 + b^2 + c^2 = 2(a − b − c) − 3. (1) Calculate the value of 2a − 3b + 4c.

Verdich [7]

Answer:

$2a - 3b + 4c = 1$

Step-by-step explanation:

Given

$a^2 + b^2 + c^2 = 2(a - b - c) - 3$

Required

Determine $2a - 3b + 4c$

$a^2 + b^2 + c^2 = 2(a - b - c) - 3$

Open bracket

$a^2 + b^2 + c^2 = 2a - 2b - 2c - 3$

Equate the equation to 0

$a^2 + b^2 + c^2 - 2a + 2b + 2c + 3 = 0$

Express 3 as 1 + 1 + 1

$a^2 + b^2 + c^2 - 2a + 2b + 2c + 1 + 1 + 1 = 0$

Collect like terms

$a^2 - 2a + 1 + b^2 + 2b + 1 + c^2 + 2c + 1 = 0$

Group each terms

$(a^2 - 2a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0$

Factorize (starting with the first bracket)

$(a^2 - a -a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0$

$(a(a - 1) -1(a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0$

$((a - 1) (a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0$

$((a - 1)^2) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0$

$((a - 1)^2) + (b^2 + b+b + 1) + (c^2 + 2c + 1) = 0$

$((a - 1)^2) + (b(b + 1)+1(b + 1)) + (c^2 + 2c + 1) = 0$

$((a - 1)^2) + ((b + 1)(b + 1)) + (c^2 + 2c + 1) = 0$

$((a - 1)^2) + ((b + 1)^2) + (c^2 + 2c + 1) = 0$

$((a - 1)^2) + ((b + 1)^2) + (c^2 + c+c + 1) = 0$

$((a - 1)^2) + ((b + 1)^2) + (c(c + 1)+1(c + 1)) = 0$

$((a - 1)^2) + ((b + 1)^2) + ((c + 1)(c + 1)) = 0$

$((a - 1)^2) + ((b + 1)^2) + ((c + 1)^2) = 0$

Express 0 as 0 + 0 + 0

$(a - 1)^2 + (b + 1)^2 + (c + 1)^2 = 0 + 0+ 0$

By comparison

$(a - 1)^2 = 0$

$(b + 1)^2 = 0$

$(c + 1)^2 = 0$

Solving for $(a - 1)^2 = 0$

Take square root of both sides

$a - 1 = 0$

Add 1 to both sides

$a - 1 + 1 = 0 + 1$

$a = 1$

Solving for $(b + 1)^2 = 0$

Take square root of both sides

$b + 1 = 0$

Subtract 1 from both sides

$b + 1 - 1 = 0 - 1$

$b = -1$

Solving for $(c + 1)^2 = 0$

Take square root of both sides

$c + 1 = 0$

Subtract 1 from both sides

$c + 1 - 1 = 0 - 1$

$c = -1$

Substitute the values of a, b and c in $2a - 3b + 4c$

$2a - 3b + 4c = 2(1) - 3(-1) + 4(-1)$

$2a - 3b + 4c = 2 +3 -4$

$2a - 3b + 4c = 1$

7 0

3 years ago

Horse kg of grass in 12 days how much how much does he eat in 9 days

Zolol [24]

Step-by-step explanation:

The horse eats 9/12 in 9 days.

3 0

2 years ago

Debbie has a total cost of $80 for selling 40 fruit baskets. If she earns a revenue of $320 for these, what is her total profit

kirill [66]

Answer:

$240

Step-by-step explanation:

Debbie's profit is the difference between her revenue and cost:

profit = revenue - cost

profit = $320 - 80

profit = $240

Debbie's total profit is $240.

7 0

3 years ago