1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pogonyaev
3 years ago
14

I'm can't seem to find a common base. I know the answer's x=4 but I thought it was x=0.

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0
64^x = 256 * 16^x

2^6x = 2^8 * 2^4x

2^6x = 2^(4x+8)

6x = 4x +8

2x = 8

x = 4
You might be interested in
The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a
zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = \frac{1}{2}\times Base \times Height

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

Base = Height + 7

Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0

This is a quadratic equation which can be solved using a quadratic equation as shown below:

h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

Therefore, the length of base will be 25 + 7 = 32 cm.

8 0
3 years ago
Genuinely confused, how would you solve this? (will mark for brainliest!!)
Yanka [14]

Answer:

Length of the bold sector: 40.3ft

Area of the bold sector: 282.08

Step-by-step explanation:

Finding the sector length: Assuming that pi=3.14, the diameter is 87.92 ft. The ratio of the bold section to the whole circumference is 165 to 360. So you need to multiply the circumference by the ratio. (87.92 x 165)/360=40.3

Finding the sector area: Assuming that pi=3.14, the area of the circle is 615.44 sq. ft. The ratio of the sector area to the area of the whole circle is 165:360. (615.44 x 165)/360=282.08, rounded to the nearest 100th.

3 0
2 years ago
the populatipn of a school of fish increases at a rate of 18% a Month. There are currently 500 fish in the school.
ruslelena [56]
You first must find the 18% of the fish population.

You multiply 500 by .18 . You are supposed to get 90.

90 is the 18% fish increase.

Then you just add 500 + 90 and you will get 590 fish that are now in the school.
8 0
2 years ago
Simplify 3^2 x 3^3 <br><br> A. 3<br><br> B. 3^6<br><br> C. 3^5<br><br> D. 3^8
Maslowich
When you are multiplying and have like bases, then you add the exponents. 
2+3=5
3^5
5 0
2 years ago
If 1.6 cup of icing cover 2.3 of a cake then how much icing is need to cover the entire cake
Setler79 [48]
Mark me as brainliest! :)

1/6 * 3/2 = 1/4
5 0
2 years ago
Other questions:
  • Round 547 to the nearest ten and hundred
    14·1 answer
  • What is the measure of ABC
    7·2 answers
  • A car is driven 150 miles in 5 hours. What is the rate in miles per​ hour?
    8·2 answers
  • A city of 100,000 is having pollution problems and is decreasing in size 2% annually (every year). Find
    8·1 answer
  • Please help thanks!!!
    12·2 answers
  • X2 - __________x + 144
    15·1 answer
  • First person to answer 10 points
    14·1 answer
  • Plz help number 3d ( can you pls show ur steps of how you got the answer)
    9·1 answer
  • Determine whether the relation is a function.
    5·1 answer
  • Solve the inequality and express your answer in interval notation. x² + 8x + 3 &lt; 0
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!