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3 years ago

Find the value of x. logx 8 = 0.5 А. 4 В. 16 C.32 D. 64

Mathematics

1 answer:

Masteriza [31]3 years ago

7 0

Answer:

The answer to your question is letter D. x = 64

Step-by-step explanation:

Equation

log x 8 = 0.5

Express the log as a exponential equation

x $x^{0.5}$ = 8

Express the power as a fraction

$x^{1/2} = 8$

$\sqrt{x^{2}}$

Look for a number which squared root is 8

$\sqrt{64} = 8$

Then

x = 64

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Convert each proper fraction into a mixed number or whole number

Dennis_Churaev [7]

You need to convert it into a whole number

7 0

3 years ago

Find a solution to the following system of equations. –5x + y = –5 –4x + 2y = 2

Arte-miy333 [17]

-5x + y = -5.....multiply by -2
-4x + 2y = 2
---------------
10x - 2y = 10 (result of multiplying by -2)
-4x + 2y = 2
-----------------add
6x = 12
x = 12/6
x = 2

-5x + y = -5
-5(2) + y = -5
-10 + y = -5
y = -5 + 10
y = 5

solution is (2,5)

8 0

3 years ago

A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin

Georgia [21]

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points $X(x_1,y_1)\ and\ Y(x_2,y_2)$ is:

$|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Hence:

$|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5$

3 0

3 years ago

Someone please help me !!!

alexandr1967 [171]

Because this triangle is a right traingle and has one angel that is 45 degrees, the third angle must be 45 degrees to because 90+45+45=180. With that, km must be the same length as lm. we know lm is 5 so km is 5 too. No we can plug this into the Pythagorean Theorem too get

5^2+5^2=c^2

25+25=c^2

50=c^2

√50=√c^2

√25*2=c

5√2=c

Thats your answer to the length of lk.

3 0

3 years ago

Tahnks for helping it will mean a lot

VMariaS [17]

Answer: