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
Serga [27]
4 years ago
12

Can someone please help me understand why the coefficient of 'a' in a over 2 is 1/2 instead of 1?

Mathematics
2 answers:
DiKsa [7]4 years ago
8 0

Answer:

What you need to consider is what multiplied by 2 results in a/2. This number is the coefficient of a.

We can easily see that a/2 = 1/2 * a and therefore the coefficient is 1/2.

ale4655 [162]4 years ago
3 0

Answer:

Step-by-step explanation:

a/2 (a over 2) is rewritten as a×1/2 (a multiplied by half ) so now you can easily see that the coefficient of "a" is 1/2

You might be interested in
Learning Task 4. Solve the problem by applying the sum and product of roots
Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

x^2+bx+c=0

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

x^2-18x+80=0

Factoring by finding two numbers that add up to 18 and have a product of 80:

(x-10)(x-8)=0

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

6 0
3 years ago
a 65 foot ladder is leaning against a well. Its lower end is 25 feet away from the wall. How much farther away will it be if upp
Crazy boy [7]
<h3>Answer:  14 feet</h3>

=====================================================

Explanation:

Check out the diagrams below.

We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.

Use the pythagorean theorem to find the vertical side x.

a^2 + b^2 = c^2

25^2 + x^2 = 65^2

625 + x^2 = 4225

x^2 = 4225 - 625

x^2 = 3600

x = sqrt(3600)

x = 60

The top of the ladder is 60 feet high when placed against the wall in this configuration.

------------------

If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.

Like earlier, we'll use the pythagorean theorem to find the missing side.

a^2 + b^2 = c^2

y^2 + 52^2 = 65^2

y^2 + 2704 = 4225

y^2 = 4225 - 2704

y^2 = 1521

y = sqrt(1521)

y = 39

The horizontal distance from the ladder base to the wall is now 39 feet.

Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.

8 0
2 years ago
What is 4/5 as a decimal and what is 4/5 as a percent representation
Alex73 [517]
Pokslsjsjskakaisudhebebsis
7 0
3 years ago
Read 2 more answers
A teacher need 10000 small beads for a project. Michael's sell small beads in packs of 60 for 2.99. Teacher buys 77 packages. Wa
aalyn [17]

Answer:

860 beads

Step-by-step explanation:

60 times 77=4620

40 times 113=4520

4620+4520=9140

10000-9140=860

7 0
4 years ago
A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?
jolli1 [7]

Answer:

18 cents

Step-by-step explanation:

3.28/18 = .18

3 0
3 years ago
Other questions:
  • The rational function has a y-intercept of 7. What is the equation for this function?
    11·1 answer
  • Write each of the numbers 1, 4, 9, 16, and 25 as a base raised to the second power. Explain why these numbers are sometimes call
    12·1 answer
  • The base and height of a triangle are each equal to the side length of a square.
    14·2 answers
  • Mary biked 4 1/5 miles today, and Mike biked 3 2/3 How many times the
    9·1 answer
  • The base and height of the triangle of the triangle at the right are multiplied by 4. Describe the change in the area. Justify y
    14·1 answer
  • Question is down there
    8·2 answers
  • Can someone help me plzzz and thank you
    7·1 answer
  • Hope u help me pls I love u
    14·1 answer
  • What’s the rangeee??
    13·1 answer
  • To make 1/2 a batch of cookies, 1/3 cup is used.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!