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
egoroff_w [7]
3 years ago
10

What equation results from completing the square and then factoring? x2 + 10X = 15

Mathematics
1 answer:
Mandarinka [93]3 years ago
3 0

Answer:

C) (x + 5)² = 40

Step-by-step explanation:

Given the quadratic equation, x² + 10x = 15:

To complete the square, take the coefficient of the middle term (b), and divide it by 2<em>a</em>:

x² + 10x + [\frac{b}{2a}]^{2}  = 15 + [\frac{b}{2a}]^{2}

x² + 10x + [\frac{10}{2}]^{2}  = 15 + [\frac{10}{2}]^{2}  

x² + 10x + 5²  = 15 + 5²

x² + 10x + 25 = 40

The trinomial on the left-hand side of the equation provides a perfect square binomial factors: <em>u</em>² + 2<em>uv</em> + v² = (<em>u</em> + <em>v</em>)²

x² + 10x + 25 = 40

(x + 5)²  = 40

Therefore, the correct answer is Option C)  (x + 5)²  = 40

You might be interested in
When the car moves forward by 180cm , each wheel does one full turn . What is the diameter of the wheels to the nearest cm?
Sav [38]
Since 180cm is one full turn you divide it by pie which is 3.14

=180/3.14

=180/3 (Rounded down)

=60
3 0
3 years ago
My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumul
Alina [70]

Answer:

46.818 kg

Step-by-step explanation:

First, find the surface area of your yard. This is found by multiplying the length and width.

The equation for this is (l*w)=sa

So,

l=20ft

w=17ft

(20*17)= 340 square feet.

So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.

So,

(340*1350)= 459000  flakes for the entire yard in one minute.

Since there is 60 minutes in an hour, multiply 459,000 by 60.

459,000*60= 27,540,000  new flakes in the yard per hour.

Now, to find the weight in milligrams:

27,540,000*1.7= 46,818,000  mgs

Finally, because a kilogram is equal to one million milligrams (mg),

46,818,000/1,000,000= 46.818 kg

7 0
3 years ago
The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu
IgorC [24]

Answer:

\frac{1}{9}

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

\sqrt{xy}

The Arithmetic mean is

\frac{x + y}{2}

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

\frac{ \sqrt{xy} }{ \frac{x + y}{2} }  =  \frac{3}{5}

We can write the equation;

\sqrt{xy}  = 3

or

xy = 9 -  -  - (2)

l

and

\frac{x + y}{2}  = 5

or

x + y = 10 -  -  - (2)

Make y the subject in equation 2

y = 10 - x -  -  - (3)

Put equation 3 in 1

x(10 - x) = 9

10x -  {x}^{2}  = 9

{x}^{2}  - 10x + 9 = 0

(x - 9)(x - 1) = 0

x =1  \: or \: 9

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

\frac{1}{9}

3 0
3 years ago
CAN YALL ANSWER MY BROTHERS HW BEC HIS DEADAZZ DOENST WANT TO BTW HE IS IN 3RD GRADE
nadezda [96]
You should try to retake the picture can’t c anything
4 0
2 years ago
Read 2 more answers
Graph each absolute value function. State the domain, range, and y-intercept.
Paraphin [41]

Answer:

i)D:x\in R

ii)R: y\ge-3

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

f(x)=|x+2|-3.

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

f(x)=|x+2|-3.

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is y\ge-3

iii) To find the y-intercept substitute x=0 in to the function.

f(0)=|0+2|-3.

f(0)=|2|-3.

f(0)=2-3.

f(0)=-1.

The y-intercept is (0,-1)

See attachment for graph.

6 0
3 years ago
Other questions:
  • James bought a bag of 12 dinner rolls he used 1/6 of the bag how many dinner rolls did james use?
    10·1 answer
  • 1/8 in 1 bottle of lotion
    13·1 answer
  • Find the center and radius of the attached circle that goes through the point (-4,-1)
    14·1 answer
  • What is the slope for a line that passes through (2,5) and (6,7)?
    8·2 answers
  • A spinner has three colors: red, blue, abd yellow. The red and blue sectors are the same size. If you spin twice, the probabilit
    15·1 answer
  • 3x+y+z=4<br> 2x+2y+3z=3<br> X+3y+2z=5
    15·1 answer
  • Find the distance between the two points 5,6 and 0,-6. Show your work​
    11·1 answer
  • Can someone solve this problem?
    5·2 answers
  • I need help asap!!!!!!!!!!!!!
    11·1 answer
  • PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!