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eimsori [14]
2 years ago
13

Pleaseeee help i don't understand how to do this

Mathematics
1 answer:
den301095 [7]2 years ago
7 0

Answer:

x=\frac{5}{k}

Step-by-step explanation:

Given expression is,

\text{log}_{3^k}243=x

By using the law of logarithm,

(3^k)^x=243

3^{kx}=243

3^{kx}=3^5

By comparing exponents on both the sides of the equation,

kx=5

x=\frac{5}{k}

Therefore, x=\frac{5}{k} will be the answer.

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5) 5x-4= 20<br> у = 3х - 12<br> solve
vredina [299]

Answer:

Step-by-step explanation:

5x-4=20

5x=24: x=24/5

y=3x-12

y=3(24/5)-12

y = (72-60)/5

y=12/5

6 0
2 years ago
Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the ro
skelet666 [1.2K]

Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

√(x + 8) − √(x − 4) = 2

Solving:

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

8 0
3 years ago
What is the square root of 13 ?
kipiarov [429]
<span>3.60555128 is the awnser</span>
5 0
3 years ago
Use matrix inversion to solve the collection of systems of linear equations. HINT [See Example 4.] (a) −x − 4y + 2z = −10 x + 2y
omeli [17]

Answer:

Step-by-step explanation:

given is a system of linear equations in 3 variables as

-x - 4y + 2z = −10\\ x + 2y - z = 11 \\x + y - z = 14

This can be represented in matrix form as

AX=B Or

\left[\begin{array}{ccc}-1&-4&2\\1&2&-1\\1&1&-1\end{array}\right] *\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-10\\11\\14\end{array}\right]

So solution set

X would be A^{-1} B

|A|=-1(-1)+4(0)+2(-1)=--1

Cofactors of A are

-1    0    -1

-2   -1     -3

0     1      2

So inverse of A is

1    2   0

0   1     -1  

1     3      -2

Solution set would be

x=12

y=-3

z=-5

8 0
2 years ago
In parallelogram HJKL if HM=12 find HK.<br> K<br> M<br> M<br> H<br> L
Anestetic [448]

Answer:

HK = 24

Step-by-step explanation:

HK and JL are diagonals of the parallelogram.

Recall that diagonals of a parallelogram bisect each other. This implies that, they divide each other into equal parts.

Therefore,

HK = 2(HM)

HM = 12

Thus,

HK = 2(12)

HK = 24

7 0
2 years ago
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