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
kobusy [5.1K]
2 years ago
10

Solve by completing the square.

Mathematics
2 answers:
IRINA_888 [86]2 years ago
7 0

Answer:

-23.18, -0.82

Step-by-step explanation:

  • h² + 24h + 19 = 0
  • h²+2h*12+12²-125=0
  • (h+12)²-√125²=0
  • (h+12+11.18)(h+12-11.18)=0
  • (h+23.18)(h+0.82)=0
  • h+23.18=0 ⇒ h= -23.18
  • h+0.82=0 ⇒ h= -0.82
Colt1911 [192]2 years ago
7 0

Answer:

-23.18, -.82

Step-by-step explanation:

h^2 + 24h + 19 = 0

Subtract 19 from each side

h^2 +24h = -19

Take the coefficient of h

24

Divide by 2

24/2 =12

Square it

12^2 =144

Add this to both sides

h^2 +24h+144 = -19+144

(h+12)^2 =125

Take the square root of each side

sqrt((h+12)^2) =±sqrt(125)

h+12 = ±sqrt(125)

Subtract 12 from each side

h+12-12 = -12 ±sqrt(125)

h =-12 ±sqrt(125)

h = -12 - sqrt(125) = -23.18033989

h = -12 + sqrt(125) = -.819660113

To the nearest hundredth

-23.18, -.82

You might be interested in
Determine the intercepts of the line.<br> y-intercept (____,____)<br> x-intercept (____,____)
bija089 [108]

Answer:

y intercept is  (0 , 2.5)

x intercept is (3.5 , 0)

Step-by-step explanation:

Khan Academy is fun !!!!!!!!!!

y- intercept is where the line meets the y line    l

x- intercept is where the line meets the x line   ____

The y-intercept is 2.5

The x-intercept is 3.5

3 0
2 years ago
I WILL GIVE BRAINLIEST!!!!
-Dominant- [34]
The equation of the line shown is y = 1/3x - 1

Because the slope is rise/run and in this case you rise 1 and run 3. And the y-intercept is -1 because that is where the line crosses the y-axis.

hope this helps :)
8 0
3 years ago
Read 2 more answers
What is the equivalent to 4(4a+5)
____ [38]

Use the distributive property.

4(4a + 5) = 4 * 4a + 4 * 5 = 16a + 20

Answer: 16a + 20

3 0
2 years ago
Help, please! instructions in the picture:
lesya [120]

Answer:

x = 2

Step-by-step explanation:

10/5 = 2 so it would look like this

2 4 6 8 10

1  2 3 4 5

7 0
2 years ago
Read 2 more answers
A right cylinder has a radius of 6 m and a surface area of 84 m². Find the surface area of a similar cylinder with a radius of 2
dlinn [17]

Answer:

The surface area of the second cylinder is equal to 9.33\ m^{2}

Step-by-step explanation:

we know that

If two figures are similar then

the ratio of their surfaces areas is equal to the scale factor squared

Let

z-------> the scale factor

x------> the surface area of the smaller cylinder (second cylinder)

y-------> the surface area of the original cylinder (first cylinder)

so

z^{2}=\frac{x}{y}

Step 1

Find the scale factor

z=\frac{2}{6}=\frac{1}{3}

Step 2

Find the surface area of the second cylinder

we have

z=\frac{1}{3}

y=84\ m^{2}

substitute and solve for x

(\frac{1}{3})^{2}=\frac{x}{84}

x=\frac{1}{9}*84=9.33\ m^{2}


5 0
3 years ago
Other questions:
  • PLEASE HELP!!!!! Geometry
    6·1 answer
  • Simplify. 8-4 8-10 A) 8^-14 B) 8^-6 C) 8^6 D) 8^14
    10·2 answers
  • Is this correct for the last awnser 15 that you Cant see the awnser i put right triangle triangle i so celos
    5·2 answers
  • Is there important stuff I should know going into high school
    5·2 answers
  • Write an equation to model the following situation.
    14·2 answers
  • What percent of 240 is 180?
    5·2 answers
  • WHAT IS THE STANDARD FORM OF 5.93e-5?
    5·1 answer
  • Help for a gradeeeee...picture attacthed.
    8·1 answer
  • Can someone plz help me plzzzz!!!!
    9·1 answer
  • Translate the shape A three squares right and three squares up.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!