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hichkok12 [17]
3 years ago
15

Suppose you construct lines L, M, and N so that L is perpendicular to M and L is parallel to N. which of the following is true.

Mathematics
1 answer:
Blizzard [7]3 years ago
3 0

In the question we are given three lines L,M and N such that:

Line L is perpendicular to M

and line L is parallel to line N

so the option is (C) M is perpendicular N

Step-by-step explanation

We are given three lines L,M and N such that:

  • Line L is perpendicular to M
  • Line L is parallel to line N

<u>We know that when one line parallel to the second line and is perpendicular to the third line then the second line is also perpendicular to the third line.</u>

<u></u>

So,the answer is  (C) M is perpendicular N

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Answer:

C

Step-by-step explanation:

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3 years ago
Evaluate the determinant for the following matrix: 1 4 4 5 2 2 1 5 5
Elina [12.6K]
A Laplace expansion along the first row gives

\begin{vmatrix}1&4&4\\5&2&1\\1&5&5\end{vmatrix}=1\begin{vmatrix}2&1\\5&5\end{vmatrix}-4\begin{vmatrix}5&1\\1&5\end{vmatrix}+4\begin{vmatrix}5&2\\1&5\end{vmatrix}
=1(10-5)-4(25-1)+4(25-2)
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7 0
3 years ago
1. the number 0 (for the real numbers) distributive property 2. a(b + c) = ab + ac or a(b - c) = ab - ac literal equation 3. an
Semenov [28]
  1. the number 0 — additive identity
  2. a(b+c) = ab+ac — the distributive property
  3. an equation containing more than one variable — literal equation
  4. the number 1 — multiplicative identity
  5. the reciprocal of a number — multiplicative inverse

If x ≠ 0, then 1/x is its multiplicative inverse — true.

The product of a number and its multiplicative inverse is 1 — true.

4 0
3 years ago
Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.
podryga [215]

Answer:

  • 35%

Explanation:

<u>1. Cost of each liter of yellow paint:</u>

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

<u>2. Cost of each liter of blue paint:</u>

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

<u>3. Cost of each liter of green paint.</u>

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint:     3 liter × £4.8 / liter = £14.4

                                 ==========              ========

5 liters green paint:   5 liter                        £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

<u>4. Profit</u>

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 =  35.08% = 35%

4 0
3 years ago
Solve −4(x + 10) − 6 = −3(x − 2).<br> A.−40 B.−46 C.−52 D.52
m_a_m_a [10]
The answer is -52 so it would be C
8 0
3 years ago
Read 2 more answers
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