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
kumpel [21]
3 years ago
6

FACTOR....x^2 + 10× - 2400 = 0​

Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

x= -5 + 5\sqrt{97}, x= -5 - 5\sqrt{97}

Step-by-step explanation:

Since this quadratic is set to zero, we can use the quadratic formula to solve this.

x^2 + 10x - 2400 = 0​

Quadractic formula =  x= -b +- \sqrt{b^2 - 4ac} /2a

For this equation:

a= 1, b=10, c=-2400

Plug these numbers into the equation and solve.

x= -10 +- \sqrt{10^2 - 4(1)(-2400})/2(1)

x= -10 +- \sqrt{100 + 9,600}/2

x= -10 +- \sqrt{9,700}/2

x= -10 +- \sqrt{2^2 * 5^2 * 97}/2

x= -10 +- 5 * 2\sqrt{97}/2

x= -10 +- 10\sqrt{97} / 2

Divide by 2.

x= -5 +- 5\sqrt{97}

Answer:

x= -5 + 5\sqrt{97} or x= -5 - 5\sqrt{97}

You might be interested in
Please Help!!! Will give brainliest
qaws [65]

36 cm^2

Step-by-step explanation:

<u>Small</u><u> </u><u>window</u>

Length: 2cm

Width: 2cm

<u>Area</u><u>:</u> 4 cm^2

<u>Big window</u>

Length: 4cm

Width: 3cm

<u>Area</u><u>:</u> 12 cm^2

Total area of the windows:

(Area of 4 small windows + area of 1 big window)

(4 cm^2 x 4 + 12cm^2)

= <u>28 cm^2</u>

<u>Above</u><u> </u><u>window</u><u> </u><u>(</u><u>approx</u><u>.</u><u>)</u>

<u>Rectangle</u>

Length: 3cm

Width: 2cm

<u>Area</u><u>:</u> 6 cm^2

<u>T</u><u>riangle</u>

Base: 1cm

Height: 1cm

<u>Area</u><u>:</u> 2 x 0.5 cm^2 = 1 cm^2

<u>Square</u><u> </u><u>(</u><u>between</u><u> </u><u>the</u><u> </u><u>triangles</u><u>)</u>

Length: 1cm

Width: 1cm

<u>Area</u><u>:</u> 1 cm^2

= 8 cm^2

<u>TOTAL</u><u> </u><u>AREA</u><u> </u><u>OF</u><u> </u><u>ALL</u><u> </u><u>WINDOWS</u>

= AREA OF 4 WINDOWS + AREA OF BIG WINDOW + AREA OF ABOVE WINDOW

= 16 cm^2 + 12 cm^2 + 8 cm^2

<h3>= <u>36 cm^2</u></h3>

<em>I</em><em> </em><em>hope</em><em> </em><em>I</em><em> </em><em>made</em><em> </em><em>the</em><em> </em><em>explanations</em><em> </em><em>clear</em><em> </em><em>enough</em><em> </em><em>to</em><em> </em><em>make</em><em> </em><em>it</em><em> </em><em>easier</em><em> </em><em>for</em><em> </em><em>you</em><em> </em><em>to</em><em> </em><em>understand</em><em>!</em>

8 0
1 year ago
0.8 rounded to nearest hundred
Tju [1.3M]

Answer:

1

Step-by-step explanation:

extending answer to be able to send

8 0
3 years ago
Read 2 more answers
2(x-5)=3(x+7) Show the process, please.
chubhunter [2.5K]

Answer:

-31

Step-by-step explanation:

(2×x) - (2×5) = (3×x) + (3×7)

2x-10 = 3x+21

2x-3x = 21+10

-x = 31

therefore, x = -31

5 0
3 years ago
Read 2 more answers
g Jack is polling New Yorkers to determine what proportion of them want to legalize recreational marijuana. How many New Yorkers
wolverine [178]

Answer:

1006

Step-by-step explanation:

Take proportion, p = 62%

n = (Z² * pq) / M.E²

Margin error = 0.03

p = 62% = 0.62

q = 1 - p = 1 - 0.62 = 0.38

Zcritical at 95% = 1.96

n = (1.96² * (0.62*0.38)) / 0.03²

n = 0.90508096 / 0.0009

n = 1005.6455

n = 1006

Sample size = 1006

5 0
3 years ago
Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?
g100num [7]

<u>Given</u>:

Given that FGH is a right triangle. The sine of angle F is 0.53.

We need to determine the cosine of angle H.

<u>Cosine of angle H:</u>

Given that the sine of angle F is 0.53

This can be written as,

sin F=0.53

Applying the trigonometric ratio, we have;

\frac{HG}{FH}=0.53 ----- (1)

Now, we shall determine the value of cosine of angle H.

Let us apply the trigonometric ratio cos \ \theta=\frac{adj}{hyp}, we get;

cos \ H=\frac{HG}{FH} ----- (2)

Substituting the value from equation (1) in equation (2), we get;

cos \ H=0.53

Thus, the cosine of angle H is 0.53

6 0
3 years ago
Other questions:
  • ben needs to convert 500 US dollars to the japanese yen. one american dollar is worth 123.3 yen. how many yen will he have
    9·1 answer
  • I need to know what the answer is!?
    11·2 answers
  • I a bandana has 40 stripes and 60 stars how many patterns are there total​
    10·1 answer
  • 20 POINTS PLEASE HELP ME!!!
    14·1 answer
  • Will mark brainliest answer for fastest answer given
    13·2 answers
  • Can someone help me please<br> b-1/4=8 1/2
    8·1 answer
  • PLEASE HELP 20 POINTS PLEASE HELP BROOO
    12·1 answer
  • PLEASE HELPPP URGENT! , I'LL GIVE BRAINLEST FOR CORRECT ANSWER!​
    13·1 answer
  • The graph of y = x2 + 4x + 3 is shown.
    14·1 answer
  • What is the sum for 2x+10?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!