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AnnZ [28]
3 years ago
10

Find the value of x if A, B, and C are collinear points and B is between A and C.

Mathematics
1 answer:
Andrew [12]3 years ago
7 0

Answer:

x = 6

Option A.

Step-by-step explanation:

We know that

If A, B and C are collineal points, they all pass through a common line.

<--------------14-------------->

A-----------B----------------C

<-----x-----><------x+2---->

Based on the problem and the diagram above,

(x) + (x+2) = 14

(2x+2) = 14

(2x) = 12

(x) = 6

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What is 2 times 2? It would be really helpful.
AfilCa [17]

Answer:

2*2=4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve each system of equation using any method.<br> 7 x + y = 5 2x - y = 4
nexus9112 [7]

Answer:

x = 1

y= -2

Step-by-step explanation:

to solve this system of equation , simultaneously using the substitution method

we say let

7 x + y = 5 ............................................. equation 1

2x - y = 4 ................................................... equation 2

from equation 2

2x - y = 4 ................................................... equation 2

2x - 4 = y

y = 2x -4.......................................................... equation 3

put the value of the y = 2x -4 into equation 1

7 x + y = 5 ............................................. equation 1

7x + 2x - 4 = 5

9x-4 = 5

9x = 5 + 4

9x = 9

divide both sides by the coefficient of x which is 9

9x/9 = 9/9

x = 1

substitute the value of x = 1 into equation 3

y = 2x -4.......................................................... equation 3

y = 2(1) -4

y = 2 - 4

y = -2

to check if you are correct put the value of x and y into any of the equations and you will see that the left hand side will be equal to the right hand side.

2x - y = 4 ................................................... equation 2

2(1) -(-2) = 4

2 + 2 = 4

4=4................................... proved

7 0
3 years ago
The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source
Bezzdna [24]

Answer:

<em>The voltage at the middle source is</em> (2-4\mathbf{i})\ V

Step-by-step explanation:

<u>Voltage Sources in Series</u>

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

2 + 6\mathbf{i}

a + b\mathbf{i}

2 - 5\mathbf{i}

The sum of these voltages is:

V_t=4+a+(6+b-5)\mathbf{i}

Operating:

V_t=4+a+(1+b)\mathbf{i}

We know the total voltage is 6-3\mathbf{i}, thus:

4+a+(1+b)\mathbf{i}=6-3\mathbf{i}

Equating the real parts and the imaginary parts independently:

4+a=6

1+b=-3

Solving each equation:

a = 2

b = -4

The voltage at the middle source is (2-4\mathbf{i})\ V

5 0
3 years ago
In the following exercises, multiply the binomials. Use any method.<br> 248. (m + 11)(m − 4)
romanna [79]

Answer:

Hence the expression $$(m+11)(m-4)=m^2+7m-44$$

Step-by-step explanation:

Explanation

  • The given expression is (m+11)(m-4).
  • We have to multiply the given expression.
  • Multiply the (m+11) by -4, multiply the (m+11) by m then add like terms.

$$\frac{\begin{matrix}{} & {} & m & + & 11 \\ \times & {} & m & - & 4 \\ \end{matrix}}

_____________

{\frac{\begin{matrix}{} & - & 4m & - & 44 \\ {{m}^2} & + & 11m & {} & {} \\ \end{matrix}}{\begin{matrix}{{m}^2} & + & 7m & - & 44 \\ \end{matrix}}}$$

6 0
2 years ago
Which of the following is the balance for a single $2,635 deposit in an account with an APR of 2.79% that compounds interest mon
nasty-shy [4]
I believe the answer is $83,190,062.78
8 0
3 years ago
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