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
Lady_Fox [76]
3 years ago
8

Solve the equation by using the Square Root Property. 16x2 + 16x + 4 = 81

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

x = \dfrac{7}{4}, x = \dfrac{-11}{4}              

Step-by-step explanation:

We are given the following equation in the question:

16x^2 + 16x + 4 = 81

We have to find the solution of the equation using square root property.

We can solve the equation as:

16x^2 + 16x + 4 = 81\\(4x)^2 + 2(4x)(2) + (2)^2 = 81\\\text{Identity: }(a+b)^2 = a^2 + b^2 + 2ab\\\Rightarrow (4x+2)^2 = 81\\ \Rightarrow (4x+2) = \sqrt{81}\\ \Rightarrow (4x+2) = \pm 9\\ \Rightarrow (4x+2) = 9, (4x+2) = -9\\\Rightarrow 4x = 7, 4x = -11\\\Rightarrow x = \dfrac{7}{4}, x = \dfrac{-11}{4}

is the required solution of the equation.

You might be interested in
an ostrich egg weighs 2.9 pounds.The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds.write
Alex73 [517]

Answer:

2.9-w=1.6

Step-by-step explanation:

Let w be weight of emu egg in pounds.

We have been given that an ostrich egg weighs 2.9 pounds.The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds.

We can represent this information as:

2.9-w=1.6

Therefore, the equation 2.9-w=1.6 will give us the weight of the emu egg, w, in pounds.

8 0
3 years ago
Read 2 more answers
Is 14/15 bigger than 4/5
liraira [26]

Answer:

Yes

Step-by-step explanation:

Multiply 4/5 so that they have a common denominator.

14/15 > 12/15 (4/5)

8 0
3 years ago
Read 2 more answers
I need help with this
kvv77 [185]

Answer:

<h2>hwvveje<em><u>d</u></em><em><u>b</u></em><em><u>f</u></em><em><u>b</u></em><em><u>j</u></em><em><u>x</u></em><em><u>j</u></em><em><u>j</u></em><em><u>d</u></em><em><u>j</u></em><em><u>d</u></em><em><u>b</u></em><em><u>b</u></em><em><u>s</u></em><em><u>v</u></em><em><u>s</u></em><em><u>v</u></em><em><u>h</u></em><em><u>s</u></em><em><u>j</u></em><em><u>w</u></em><em><u>w</u></em><em><u>j</u></em><em><u>j</u></em><em><u>w</u></em><em><u>k</u></em><em><u>k</u></em><em><u>w</u></em><em><u>i</u></em><em><u>i</u></em><em><u>w</u></em><em><u>j</u></em><em><u>d</u></em><em><u>j</u></em><em><u>d</u></em><em><u>b</u></em><em><u>b</u></em><em><u>d</u></em><em><u>b</u></em><em><u>x</u></em><em><u>b</u></em><em><u>b</u></em><em><u>x</u></em><em><u>j</u></em><em><u>e</u></em></h2>

Step-by-step explanation:

<h2>vshkeeheyeu4us d rvrgs<em><u>j</u></em><em><u>h</u></em><em><u>d</u></em><em><u>h</u></em><em><u>f</u></em><em><u>h</u></em><em><u>x</u></em><em><u>d</u></em><em><u>b</u></em><em><u>e</u></em><em><u>v</u></em><em><u>d</u></em><em><u>v</u></em><em><u>d</u></em><em><u>h</u></em><em><u>j</u></em><em><u>e</u></em><em><u>f</u></em><em><u> </u></em><em><u>z</u></em><em><u>b</u></em><em><u>f</u></em><em><u>j</u></em><em><u>f</u></em><em><u>k</u></em></h2>

8 0
3 years ago
How to put one hundred forty one million six hundred twenty thousand in standard form
Brums [2.3K]

Answer:

140,620,000

Step-by-step explanation:

There are two types of standard form. The one above (given to you) is the normal standard form. However, there is another one. This one would look like:

140,620,000 = 1.4062 x 10^8

Remember that in this standard form, you must move the decimal to just after the first place value, and the amount of moves you made for the decimal is the amount in the power over 10.

~

6 0
3 years ago
Read 2 more answers
total of 78 baseball and football cards in a box. ratio of baseball to football cards is 8 to 5. how many baseball cards are in
Katen [24]
The best way to work this to add the two numbers of the ratio together (8+5), giving you 13. You should then divide the total number of cards (78), by this, giving you 6. This means that each part of the ratio is worth 6. The first ratio is 8, meaning that you will have 6x8 baseball cards. There will be 48 baseball cards. The second ratio is 5, meaning that you will have 6x5 football cards. There will be 30 football cards.
In the box, there are 48 baseball cards
4 0
3 years ago
Other questions:
  • Is 8 yards equal to 288 inches cause thats what i got
    9·1 answer
  • What is the factored form of 3x^2+5x-12
    5·2 answers
  • Pls anyone help need help
    5·1 answer
  • Which of the following is 7/18 closest to? <br> 1/2<br> 0<br> 1
    9·2 answers
  • The number of 8th graders in choir is three times the number of the 7th graders. if there are 48 8th graders choir how.many 7th
    5·1 answer
  • The kids are racing around a circle on the playground with a radius of 12 feet. If they ran around it 5 times, how far did they
    5·1 answer
  • Select the correct shapes.<br> Select the shapes that are similar to shape A.<br> Reset Next
    6·1 answer
  • What is the probability of flipping a coin 50 times and getting tails 22 times or fewer
    5·2 answers
  • Use the graph below to answer the following question:
    6·1 answer
  • The angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30°. Find the heig
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!