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
garri49 [273]
2 years ago
9

Maya is solving the quadratic equation by completing the square.

Mathematics
1 answer:
kvasek [131]2 years ago
6 0

Step-by-step explanation:

factor 4 out of the variable terms, as this helps.

but my approach is simply to define the target and then calculate "backwards".

we want to find

(ax + b)² = a²x² + 2abx + b²

and now we compare with the original equation :

a²x² = 4x²

a² = 4

a = 2

2abx = 16x

2×2×bx = 16x

4b = 16

b = 4

b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.

so, our equation is

(2x + 4)² - 13 = 0

(2x + 4)² = 13

2x + 4 = sqrt(13)

2x = sqrt(13) - 4

x = sqrt(13)/2 - 2

You might be interested in
You need about 1 1/2 hours to set up a computer workstation. At this rate, how many hours should it take you to set up 7 of thes
Serhud [2]

Answer:

You would need 10 1/2 hours to set up 7 workstations.

Step-by-step explanation:

Multiply the amount of workstations by the rate at which they are set up.

7 * 1.5 = 10.5

6 0
4 years ago
the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of th
miss Akunina [59]

Answer:

The volume of the pyramid is V=187\ ft^{3}

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

B=93.5\ ft^{2}

H=6\ ft

substitute

V=\frac{1}{3}(93.5)(6)=187\ ft^{3}

5 0
3 years ago
Read 2 more answers
I don’t know how to complete this problem. Can anyone help out? Please and thank you :)
lawyer [7]
.....................
5 0
3 years ago
HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE thankkyouu
VikaD [51]

Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

       = 100 + 480

       = 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

     = 16.9

Thus, the cost of 10 lb of lettuce is $16.90.

6 0
3 years ago
ALL MY QUESTIONS GETTING IGNORED PLS HELP
Novosadov [1.4K]

Answer:

x=9

Step-by-step explanation:

a scale drawing means all the sides are multiplied by the same amount. to find this amount, you can divide the larger side by the bigger side by the smaller side.

15/5 = 3

12/4 = 3

therefore the scale factor is 3. to get the value of x, multiply the value of the third side by 3.

3*3=9

x=9

4 0
3 years ago
Other questions:
  • A producer of personal computer mouse pads determines that the number, N, of pads sold is related to the price, X, of a pad by N
    15·1 answer
  • Can someone please help me answer this?
    11·1 answer
  • A manufacturer produces jeans in 9 sizes, 7 different colors, and 6 different stitching patterns. If a branch store manager orde
    7·1 answer
  • Find the area for the given shape below
    7·1 answer
  • Solve x(x-1) (X-5) <=O​
    10·1 answer
  • Does anyone Understand this.
    6·1 answer
  • 6. A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sa
    11·1 answer
  • 2. Los valores de x=+19 son solución de la ecuación:
    12·1 answer
  • How to write 2 -5/8 + 1 -9/16 as a fraction
    12·1 answer
  • There are 59 counters in a bag. 20 of the counters are green. The rest of the counters are yellow. One of the counters is taken
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!