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
diamong [38]
3 years ago
13

Solve for -(6h+7)+8=-19

Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0
Step One:
Distribute.
-(6h+7)+8=-19
Distribute the negative into the parentheses.
-6h-7+8=-19
Combine any like-terms.
-6h+1=-19
Solve for h. Subtract 1 from both sides.
-6h=-20
Divide by 6 on both sides.
h = 20/6
Simplify the fraction.
h = 10/3
You might be interested in
Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ
In-s [12.5K]
PART A

The equation of the parabola in vertex form is given by the formula,

y - k = a {(x - h)}^{2}

where

(h,k)=(1,-2)

is the vertex of the parabola.

We substitute these values to obtain,


y  + 2 = a {(x - 1)}^{2}

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.


6  + 2 = a {(3 - 1)}^{2}


8= a {(2)}^{2}


8=4a


a = 2
Hence the equation of the parabola in vertex form is


y  + 2 = 2 {(x - 1)}^{2}


PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

y  + 2 = 2{(x - 1)}^{2}

This implies that

y + 2 = 2(x - 1)(x - 1)


We expand to obtain,


y + 2 = 2( {x}^{2}  - 2x + 1)


This will give us,


y + 2 = 2 {x}^{2}  - 4x + 2


y =  {x}^{2}  - 4x

This equation is now in the form,

y = a {x}^{2}  + bx + c
where

a=1,b=-4,c=0

This is the standard form
7 0
3 years ago
A ball is thrown vertically in the air with a velocity of 90ft/s. Use the projectile formula h=−16t2+v0t to determine at what ti
Debora [2.8K]

Answer:

t=1.7 \ sec\ , t=4.0\ sec

Step-by-step explanation:

<u>Vertical Throw</u>

It refers to a situation where an object is thrown verticaly upwards with some inicial speed v_o and let in free air (no friction) until it completes its movement up and finally returns to the very same point of lauch. The only acting force is gravity

The projectile formula is given as

h=-16t^2+v_0t

where t is time in seconds, h is the height in feet and v is the speed in ft/sec

We are required to find the time t where h=120 ft, knowing v_o=90\ ft/sec

-16t^2+90t=120

Rearranging

-16t^2+90t-120=0

This is a second-degree equation which will be solved with the formula

\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\displaystyle x=\frac{-90\pm \sqrt{90^2-4(-16)(-120)}}{2(-16)}

\displaystyle x=\frac{-90\pm \sqrt{1380}}{-32}

Two solutions are obtained

\boxed{t=1.7 \ sec\ , t= 4.\ sec}

Both solutions are possible because the ball actually is at 120 ft in its way up and then when going down

6 0
3 years ago
Read 2 more answers
Select the set or sets that the number below belongs to. Be sure to account for ALL sets. (Rational, Integer, Whole, Natural). T
arsen [322]

Answer:

rational interger whole and natural.

Step-by-step explanation:

It's all of them

5 0
3 years ago
Read 2 more answers
omg guys imagine sneezing all day and then next thing hourssss later boom you lost your voice has that ever happened to you
katrin2010 [14]

Answer:

no lol

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone help me solve this?​
NeX [460]
Which one of both??

Sorry
7 0
3 years ago
Read 2 more answers
Other questions:
  • How do i do 4/7 divided by 1 3/4
    7·1 answer
  • Simplify √-48 <br><br> Please help
    9·2 answers
  • Part 1: Use the information provided to write the standard form equation of each circle. Please show the work.
    10·2 answers
  • Plz help me!!!!!!!!!!
    13·1 answer
  • Matt Kaminsky bought a Volvo that is 33∕4 times as expensive as the car his parents bought. If his parents paid $8,000 for their
    8·2 answers
  • Jim is fishing in a pond and there are 12 fish in the pond. 3 of the fish are trout and 9 are bass. If all of the fish are equal
    10·2 answers
  • The height of a soccer ball that is kicked from the ground can
    11·1 answer
  • Pls help me on this i will give brainliest
    7·1 answer
  • HOW MANY solutions does this equation have?<br> d2=0
    12·1 answer
  • What is the expirimental probability of rolling a number greater than 4
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!