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Brums [2.3K]
3 years ago
7

Find an equation of the plane. the plane that passes through (9, 0, −1) and contains the line x = 5 − 4t, y = 1 + 5t, z = 4 + 2t

Mathematics
1 answer:
Elodia [21]3 years ago
7 0
Consider this solution; note, the answer is marked by green colour.

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Factor 10x^3+8x^2-6x
Rus_ich [418]
The correct answer is 2x(5x^2+4x-3)
7 0
3 years ago
Given that<br> 5x:9=7:3<br> Calculate the value of <br> x
morpeh [17]

Answer:

  • x = 4.2

Step-by-step explanation:

<h3>Given  </h3>
  • 5x:9=7:3
<h3>To find</h3>
  • The value of  x
<h3>Solution</h3>
  • 5x:9=7:3
  • 5x = 7*9/3
  • 5x = 7*3
  • 5x = 21
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7 0
3 years ago
Read 2 more answers
A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the school in ho
Ede4ka [16]

Solution:

we are given that

A school director Must randomly select 6 teachers to participate in a training session there are 30 teachers at the schoo. The order of selection does not matter.

As we know

6 teacheras can be selected out of 30 teacher in {30}_C_6 ways.

{30}_C_6=\frac{30!}{6!24!}\\&#10;\\  {30}_C_6=\frac{25*26*27*28*29*30}{1*2*3*4*5*6}\\&#10;\\  {30}_C_6=593775

Hence the required number of ways is 593775.

7 0
3 years ago
What is the value of x in the figure below? In this diagram, △ABD~△CAD.
morpeh [17]

<u>Given</u>:

Given that the triangles ABD and CAD are similar.

The length of AB is 12.

The length of BD is x.

The length of AC is 27.

We need to determine the value of x.

<u>Value of x:</u>

Let us use the leg rule to determine the value of x.

Thus, we have;

\frac{BC}{AB}=\frac{AB}{BD}

Substituting the values, we get;

\frac{27}{12}=\frac{12}{x}

Cross multiplying, we get;

27x=12\times 12

27x=144

Dividing both sides by 27, we have;

x=\frac{16}{3}

Thus, the value of x is \frac{16}{3}

Hence, Option D is the correct answer.

7 0
3 years ago
Find the exact value of cos (-270).
djyliett [7]

Answer:

Step-by-step explanation:

Assuming this is in degrees, it is actually 0.

8 0
3 years ago
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