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
matrenka [14]
3 years ago
6

How do i solve this?

Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Well this is considerably easy!

Create equivalent expressions in the equation that all have equal bases.

2^x=2^4

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

x=4

Verify each of the solutions by substituting them into 2^x=16

and solving.

x=4



You might be interested in
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the l
aliya0001 [1]

a^2 + b^2 = c^2

Let c = hypotenuse = 2x

One of the legs = x. Let a or b = x.

I will let a = x. We can then say that b = 3.

3^2 + x^2 = (2x)^2

9 + x^2 = 4x^2

9 = 4x^2 - x^2

9 = 2x^2

9/2 = x^2

sqrt{9/2} = sqrt{x^2}

3/sqrt{2} = x

Rational denominator.

[3•sqrt{2}]/2 = x = a

Side 3 is given to be 3 feet. So, b = 3.

Hypotenuse = 2x

Hypotenuse = 2([3•sqrt{2}]/2)

Hypotenuse = 3•sqrt{2}

Understand?

The three sides are 3, [3•sqrt{2}]/2 and

3•sqrt{2}.

5 0
2 years ago
If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –5 – 6i 5 – 6i 6 – 5i 6
san4es73 [151]

Answer: 5-6i

The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.

4 0
3 years ago
Read 2 more answers
Please help i will give thanks
SIZIF [17.4K]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
The ratio of the length to the width of a rectangle is 5 to 2. Express the width of the rectangle as a fraction of the perimeter
Brums [2.3K]
Perimeter = (2)(length) + (2)(height)
Let's call the width x and the length y
Therefore perimeter = (2x)(2) + (5y)(2)= 4x+10y
2x÷(4x+10y) is the answer :)
7 0
3 years ago
After Ricardo received his allowance for the weekend he went to the mall with some friends he spent half of his allowance on a n
Naya [18.7K]
He had $12.50 left because you do
1.25 + 5= 6.25 and because he spent half earlier you would multiply by two to get 12.5
8 0
3 years ago
Other questions:
  • The sum of 4 squared and a number t
    5·2 answers
  • 1.5 divided by 2.5 round to the nearest tenth
    10·1 answer
  • Which of the following contains examples of ALLITERATION? Question 2 options: “We real cool. We left school.” “We lurk late. We
    7·1 answer
  • Which is not a solution of the inequality? <br> -8x&lt;32<br> A) -1/2<br> B) 1<br> C) 0<br> D) -4
    8·2 answers
  • Which of the following expressions is equivalent to 4(m – 16)?
    13·1 answer
  • Select all expressions equivalent to 9(2x - 5)
    6·1 answer
  • Help me please! ill give brainliest
    5·1 answer
  • Find the area of a right angled triangle whose legs are 12 cm and 14 cm.​
    7·1 answer
  • Gina Wilson All Things Algebra 2015, Unit 11
    15·2 answers
  • Which number is equal to 6^3?<br><br> A. 18<br> B. 36<br> C. 216<br> D. 666
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!