All categories

3 years ago

What is the answer ? Help pls

Mathematics

1 answer:

arlik [135]3 years ago

4 0

Answer:

Step-by-step explanation:

Given,

${x}^{8} = {( {2}^{2} )}^{4}$

Since,

${ ({a}^{x} )}^{y} = {a}^{xy}$

Then,

$= > {x}^{8} = {2}^{2 \times 4}$

$= > {x}^{8} = {2}^{8}$

(Since the exponents are same so the bases will be also same)

Therefore, 

=> x = 2 

As per condition, 

${x}^{2}$

(Putting value of x = 2)

$={2}^{2}$

= 4 (Ans)

You might be interested in

Sam is looking for a cell phone plans.A local company offers a monthly plan for $58.95. The company is having a sale and offerin

AysviL [449]

Answer:

Correct cost for the cell phone monthly plan = 54.2$

Explanation:

Price for monthly plan = 58.95$

Discount = 4.75 $

New cost found out by Sam = 11.45$

Discount considered by Sam = 58.95 - 11.45 = 47.5$

So, Instead of considering discount amount of 4.75$ Sam accidentally considered 47.5$, so he got 11.45$ as new cost for the cell phone plan.

Actual cost = 58.95 - 4.75 = 54.2$

Correct cost for the cell phone monthly plan = 54.2$

8 0

3 years ago

Find the shaded area

ziro4ka [17]

Answer:

24 cm²

Step-by-step explanation:

The area of the shaded region is the area of the outer triangle subtract the area of the rectangle.

Area of triangle = 0.5 × (4 + 4) × (6 + 2) = 0.5 × 8 × 8 = 4 × 8 = 32 cm²

Area of rectangle = 4 × 2 = 8 cm², hence

Shaded area = 32 - 8 = 24 cm²

5 0

3 years ago

Helen bought 3 books and 2 pencil cases. the pencil case cost $8 less than the book. if helen spent $74, how much did a book cos

oksano4ka [1.4K]

The cost of book case be $ 11.6.

<h3>What is linear equation?</h3>

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0.

Here, let the cost of book case be $ x

and the cost of pencil case be $ y

Now, Helen purchased 3 books and 2 pencils in $ 74.

3x + 2y = 74 .......(i)

Cost of pencil case $ 8 less than the book.

y - 8 = x ............(ii)

put the value of x in equation (i), we get

3(y - 8) + 2y = 74

3y - 24 + 2y = 74

5y = 74 + 24

5y = 98

y = 98/5

y = $ 19.6

put the value of y in equation (ii), we get

x = y -8

x = 19.6 - 8

x = $ 11.6

Thus, the cost of book case be $ 11.6.

Learn more about linear equation from:

brainly.com/question/11897796

#SPJ1

8 0

3 years ago

Equation in slope intercept form between points (1,-4) and (0,6)?

Vinvika [58]

Find the gradient:
m = y2-y1 / x2-x1
m = 6-(-4) / 0-1
m = 10 / -1
m = -10

Slope intercept form:
y = mx + c

Input the values from one of the points to find c (imputing (1,-4) to y=mx+c):
-4 = -10(1) + c
-4 = -10 + c
c = -4 + 10
c = 6

Therefore, the equation is:
y = -10x + 6

7 0

3 years ago

In ∆ABC, ∠BAC= 80°, ∠ABC=60°, a = 7, b = x.

Sonbull [250]

To solve the value of x we use the sine rule that states.
a/sinA = b/sinB = c/sinC
Where a, b, and c are the opposite sides of angle A, B. and C respectively.

x/sin60 = 7/sin80

x =(7sin60)/sin80

= 6.062/0.9848
=6.155696691

To 3 significant figures the answer is 6.16

4 0

3 years ago

Read 2 more answers