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Dmitry_Shevchenko [17]

3 years ago

13

4=2/7x please awnser

1 answer:

n200080 [17]3 years ago

3 0

4=2/7x
(7)4=2/7x(7)
28=2x
— —
2. 2
14=x

x=14

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bearhunter [10]

The answer for the given question above is FALSE.
Fifth root if 12 is equal to 1.64375183
Fifth root of 7 is equal to <span>1.47577316
</span>Fifth root of 5 is equal to <span>1.37972966

</span>1.47577316 times 1.37972966 = 2.0361680003

6 0

4 years ago

Find an equation of the plane with the given characteristics. The plane passes through the points (4, 3, 1) and (4, 1, -7) and i

Minchanka [31]

Answer:

$3x - 4y + z = 1$

Step-by-step explanation:

Given

$Point\ 1 = (4,3,1)$

$Point\ 2 = (4,1,-7)$

Perpendicular to $8x + 7y + 4z = 18$

Required

Determine the plane equation

The general equation of a plane is:

$a(x-x_1) + b(y - y_1) + c(z-z_1) = 0$

For $n =$

$(x_1,y_1,z_1) = (4,3,1)$

$(x_2,y_2,z_2) = (4,1,-7)$

First, we need to determine parallel vector $V_1$

$V_1 =$

$V_1 =$

$V_1 =$

$V_1$ is parallel to the required plane

From the question, the required plane is perpendicular to $8x + 7y + 4z = 18$

Next, we determine vector $V_2$

$V_2 =$

This implies that the required plane is parallel to $V_2$

Hence: $V_1$ and $V_2$ are parallel.

So, we can calculate the cross product $V_1 * V_2$

$V_1 =$

$V_2 =$

$n = V_1 * V_2$

$V_1 * V_2 =\left[\begin{array}{ccc}i&j&k\\0&2&8\\8&7&4\end{array}\right]$

The product is always of the form + - +

So:

$V_1 * V_2 = i\left[\begin{array}{cc}2&8\\7&4\end{array}\right]$ $-j\left[\begin{array}{cc}0&8\\8&4\end{array}\right]$ $+k\left[\begin{array}{cc}0&2\\8&7\end{array}\right]$

Calculate the product

$V_1 * V_2 = i(2*4- 8*7) - j(0*4- 8*8) + k(0*7 - 2 * 8)$

$V_1 * V_2 = i(8- 56) - j(0- 64) + k(0 - 16)$

$V_1 * V_2 = i(-48) - j(- 64) + k(- 16)$

$V_1 * V_2 = -48i +64j - 16k$

So, the resulting vector, n is:

$n =$

Recall that:

$n =$

By comparison:

$a = -48$ $b = 64$ $c = -16$

Substitute these values in $a(x-x_1) + b(y - y_1) + c(z-z_1) = 0$

$-48(x-x_1) + 64(y - y_1) -16(z-z_1) =0$

Recall that: $(x_1,y_1,z_1) = (4,3,1)$

So, we have:

$-48(x-4) + 64(y - 3) -16(z-1) =0$

$-48x + 192 + 64y -192 - 16z +16 = 0$

Collect Like Terms

$-48x + 64y - 16z = 0 - 192 + 192 - 16$

$-48x + 64y - 16z = -16$

Divide through by -16

$3x - 4y + z = 1$

<em>Hence, the equation of the plane is</em> $3x - 4y + z = 1$ <em></em>

4 0

3 years ago

Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each

cestrela7 [59]

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

<em>Translating the word problem into an algebraic equation, we have;</em>

$J = 3G$ ..........equation 1

$G = C + 6$ ........equation 2

$J + G + C = 149$ ........equation 3

<em>We would solve the linear equations by using the substitution method; </em>

<em>Substituting equation 2 into equation 1;</em>

$J = 3(C + 6)$

$J = 3C + 18$ ........equation 4

<em>Substituting equation 2 and equation 4 into equation 3;</em>

$(3C + 18) + (C + 6) + C = 149$

<em>Simplifying the equation, we have;</em>

$5C + 24 = 149$

$5C = 149 - 24$

$5C = 125$

$C = \frac {125}{5}$

C = 25 years.

To find G; from equation 2

$G = C + 6$

Substituting the value of "C" into equation 2, we have;

$G = 25 + 6$

G = 31 years.

To find J; from equation 1

$J = 3G$

Substituting the value of "G" into equation 1, we have;

$J = 3 * 31$

J = 93 years.

<em>Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old. </em>

4 0

3 years ago

What is the 99 times x=4

Musya8 [376]

The answer i x=4/99 (fraction form )

4 0

3 years ago

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Given the graphs of y = 4x - 2 and y = 2x – 6, which THREE statements are true?

zhannawk [14.2K]

D the point of intersection is the solution

4 0

3 years ago