All categories

1 year ago

FOR 50 POINTS!

Mathematics

1 answer:

Elina [12.6K]1 year ago

4 0

The value of x in the equation is 2.

<h3>What is indices?</h3>

Indices singular index is a branch of algebra that deals with the power or exponent of variables.

Laws of indices help us to evaluate indicial expressions and equations.

Analysis:

$4^{8-2x}$ = 256

Here 4 is the base number while 8-2x is the exponent or index.

So for us to evaluate this, we need to write 256 in its index form having its base as 4 also.

so 256 in base 4 index form is $4^{4}$

$4^{8-2x}$ = $4^{4}$

since both sides have the same base number, we equate only their exponent

8-2x = 4

-2x = 4 - 8

-2x = -4

x = -4/-2 = 2

Learn more about indices: brainly.com/question/10339517

#SPJ1

You might be interested in

PLEASE HELP!!

PSYCHO15rus [73]

Answer:

The bird is approximately 9 ft high up in the tree

Explanation:

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

Therefore, we can apply special trigonometric functions

These functions are as follows:

$sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}$

Now, taking a look at our diagram, we can note the following:

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the tan function

This is done as follows:

$tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft$ which is 9 ft approximated to the nearest ft

Hope this helps :)

5 0

3 years ago

PLEASE HELP NOW I ONLY NEED TO KNOW NUMBER 5. 25 POINTS!!!

Anika [276]

If Point C and D are equidistant from point A, it means that AC and AD are of the same length. AC = AD

AC = AD (S) (Points C and D are equidistant from point A)
AE = AE (S) (The two triangle shared the same side)
∠CAE = ∠EAD (A) (This angle is between the two sides that we just proved to be equal)

By SAS,
ΔEAD ≡ ΔEAC

7 0

3 years ago

the number of chirps made by a cricket varies directly as the temperature. If at 12 degrees a cricket chirps 30 times per minute

GenaCL600 [577]

Answer:

50 i think?

Step-by-step explanation:

30 divided by 12 is 2.5, 2.5 x 20 equals 50

4 0

2 years ago

Please Help me on this question

zlopas [31]

Answer:

yellow

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

X + 20 is greater than 4x -1

Paul [167]

Answer:

False; they are equal.

Step-by-step explanation:

The equation is x + 20 > 4x - 1.

First, do the opposite of -1 and add one to the other side while -1+1 cancels out. Now it's x+21 > 4x. Now subtract x from both sides. Positive x minus negative x cancels out and 4x minus x or 1x is 3x. Now you're left with 21> 3x. Now do the inverse operation of multiplication and divide both sides by 3. Now the 3x over 3 cancels out and 21 divided by 3 is 7. So x is 7. If you substitute it in. It will be 7+20 which is 27 which is great than 4(7)-1 which is 28-1. 28-1 is 27. So, the equation is false. They are equal.

7 0

2 years ago