write the equation in slope-intercept form. ​

Answer:

Step-by-step explanation:

I'm going to assume it is a rectangle.

P = 2L + 2w = 34

Area = L * w = 60                        Divide by L

w = 60/L                                      Substitute into the perimeter.

P = 2L + 2w = 34                         Put (60/L) for w

P = 2L + 2(60)/L = 34                  Multiply  both sides by L

P = 2L^2 + 120 = 34L                  Subtract 34L from both sides.

2L^2 - 34L + 120 = 0                   Divide everything by 2

L^2 - 17L + 60 = 0                        Factor

(L - 5)(L - 12) = 0

Since L is usually the larger value, use L = 12

L*w = 60

12w = 60

w = 60/12

w = 5

Answer

Answer:

2 result(s) found

t=2

t=

2

11

​

=5.500

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*t^2-(15*t-22)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

 2t2 -  (15t - 22)  = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  2t2-15t+22

The first term is,  2t2  its coefficient is  2 .

The middle term is,  -15t  its coefficient is  -15 .

The last term, "the constant", is  +22

Step-1 : Multiply the coefficient of the first term by the constant   2 • 22 = 44

Step-2 : Find two factors of  44  whose sum equals the coefficient of the middle term, which is   -15 .

     -44    +    -1    =    -45

     -22    +    -2    =    -24

     -11    +    -4    =    -15    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -11  and  -4

                    2t2 - 11t - 4t - 22

Step-4 : Add up the first 2 terms, pulling out like factors :

                   t • (2t-11)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2t-11)

Step-5 : Add up the four terms of step 4 :

                   (t-2)  •  (2t-11)

            Which is the desired factorization

Equation at the end of step

2

:

 (2t - 11) • (t - 2)  = 0

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    2t-11 = 0

Add  11  to both sides of the equation :

                     2t = 11

Divide both sides of the equation by 2:

                    t = 11/2 = 5.500

Solving a Single Variable Equation:

3.3      Solve  :    t-2 = 0

Add  2  to both sides of the equation :

                     t = 2

Supplement : Solving Quadratic Equation Directly

Solving    2t2-15t+22  = 0   directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

4.1      Find the Vertex of   y = 2t2-15t+22

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 2 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,At2+Bt+C,the  t -coordinate of the vertex is given by  -B/(2A) . In our case the  t  coordinate is   3.7500  

Plugging into the parabola formula   3.7500  for  t  we can calculate the  y -coordinate :

 y = 2.0 * 3.75 * 3.75 - 15.0 * 3.75 + 22.0

or   y = -6.125-0

Answer: Width = 18m

Length = 32m

Step-by-step explanation:

Let the width of a rectangle be x

Let the length of the rectangle be: x+14

Width = 18m

Length = 32m

Check the attachment for the explanation and further details.

Answer:

24 hours

Step-by-step explanation:

This is because they seem to be stationary about one point on the surface of earth. This is possible when the satellite has the same angular speed as the earth.

This means that it takes the same amount of time to the satellite to take one revolution around the earth as it takes the earth to take one revolution about its axis.

[tex]w=\frac{revolutions}{time}[/tex]

[tex]w_{satellite}=w_{earth}[/tex]

[tex]\frac{N_{satellite}}{t_{satellite}}=\frac{N_{earth}}{t_{earth}}[/tex]

since [tex]N_{satellite}=N_{earth}[/tex]

then, when solving for t we get that:

[tex]t_{satellite}=t_{earth}[/tex]

Answer:

22.3

Step-by-step explanation:

Answer:

D (195,500,000)

Step-by-step explanation:

8.5 mil times 23 equals D

The number of people living in Brazil that year was approximately  195,500,000 people. The answer is the last option 195,500,000 people

From the question, we are to determine the number of people living in Brazil in that year

From the given information,

Brazil land area = 8.5 million square kilometers = 8500000 km²

Brazil population density = Peru population density = 23 people /km²

From population density formula,

[tex]Population\ density = \frac{Number \ of \ people}{Land\ area}[/tex]

Then,

Number of people = Population density × Land area

Therefore,

Number of people living in Brazil = 8500000 × 23

Number of people living in Brazil = 195,500,000 people

Hence, the number of people living in Brazil that year was approximately  195,500,000 people. The answer is the last option 195,500,000 people

Learn more on Population density here: https://brainly.com/question/26910545

Answer:

-10

Step-by-step explanation:

start at 0 and move backwards 5(gives you -5) then move backwards 5 more(-10)

Answer:

yes

Step-by-step explanation:

10$

Hope this helped!

Answer:

∠ 3 = 35°

Step-by-step explanation:

∠ 5 and ∠ 3 are alternate angles and congruent, thus

∠ 3 = ∠ 5 = 35°

To find the x-intercept, substitute 0 for y and solve for x.

To find the y-intercept, substitute 0 for x and solve for y.

x-intercepts : (4, 0), (1, 0)

y-intercepts : (0, 4)

Answer:

129

Step-by-step explanation:

pls heart and give brainliest much appreciated

Answer:

The greatest common factor (GCF) is the largest factor that divides two numbers and a factor is a number that divides into another number exactly so...

1)

10: 1,2,5,10

20: 1,2,4,5,10, 20

*10 is the GCF

2)

12: 1, 2, 3, 4, 6, 12

16: 1, 2, 4, 8, 16

*4 is the GCF

3)

27: 1, 3, 9, 27

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

*9 is the GCF

Answer:

140

-2.6

0

Step-by-step explanation:

60 -(-80) if there is - - that means +

60 + 80 = 140

2.3 + (-4.9) if its + - it just means - ignore the plus

2.3 - 4.9

-2.6

4.5 + (-4.5)

0

Answer:

a.140

b. -2.6

c. 0

Step-by-step explanation:

a.60-(-80)= 60+80 because two negatives make a positive

=140

b. 2.3+(-4.9)= 2.3-4.9

= -2.6

c. 4.5+(-4.5)=0

the answer you are looking for is A

Answer:

The answer is 6 N

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

6x-7=2x+3 Cause point M is the midpoint, so JM and MK have to be equal.

4x=10

x=2.5

JM=15-7=8 and MK=5+3=8

8+8=16

Answer:

so it's number 2

Step-by-step explanation:

just try it I'm sure it's right

Answer:

Second option: y = 5(x + 2)

Step-by-step explanation:

Equation that is already graphed: y = 5x - 10

Let's use the second option: y = 5(x + 2)

Since y = 5x - 10,  we substitute 5x - 10 into the equation y = 5(x + 2)

The equation will look like this: 5x - 10 = 5(x + 2)

Now we solve: 5x - 10 = 5(x + 2)

5x - 10 = 5(x + 2)

Distribute

5x - 10 = 5x + 10

Rearrange variables to the left side of the equation

5x - 5x = 10 + 10

Apply the inverse property of addition

0 = 10 + 10

Add 10 and 10

0 = 20

Therefore, there is no solution

Answer:

He rented the bike for 2 hours.

Step-by-step explanation:

Since a bike costs $13 plus $5 per hour, we can write this as:

13 + 5(h)

We used "h" as the variable for hours, since we need to find how many hours he rented the bike for, that he had to pay $23.

And since Pete paid $23, we need to make the other equation equal to 23.

= 23

So the actual equation, would look like this:

13 + 5(h) = 23

Now we just solve for h in the equation:

13 + 5(h) = 23

Step 1: Multipy 5 times "h"

13 + 5h = 23

Step 2: Subtract 13 from both sides

13 + 5h - 13 = 23 - 13

Step 3: Simplify

5h = 10

Step 4: Divide both sides by 5

5h/5 = 10/5

Step 5: Simplify

h = 2

So the number of hours that Pete rented the bike for 2 hours

Hey there!

Plug in the value of x and evaluate:

x²-16x+64

(-4)²+16(-4)+64

16-64+64

16

Hence, the answer is 16.

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

is 16 m2 for the answer hope this works

Answer:

100 miles per hour

Step-by-step explanation:

Answer:

100 miles in 1 hour

Step-by-step explanation:

all you have to do is divied 400 and 4

Answer: 7/8

Step-by-step explanation:

First, we can start by finding a common denominator.

The least common denominator of 8 and 4 is 8.

We can multiply the numerator and denominator of 3/4 by 2:

= 6/8

So, we are esssentially calculating 1/8 + 6/8. We can add the numerators:

= 7/8.

Answer:

6/2

Step-by-step explanation:

10-4=6

-1-(-3)

-1+3=2

6/2

Answer:

17 feet

Step-by-step explanation:

Since it's a cube, you just take the cube root of the volume.

So,

[tex]\sqrt[3]{4913}[/tex]=17

Answer:

10, 15, 21, 28, and 36

Step-by-step explanation:

The rule is the number of line which is n. (n-2)*(n-1) divided by 2

The slope of that line through the origin that divides the region bounded is 1.0315

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

given that,

y = 5x - 3x2

5x - 3x2 = 0

x(5 - 3x) = 0

x = 0 , x = 5/3

Area under y = 5x - 3x2 is A = [0 to 5/3] 5x - 3x2 dx

A = [0 to 5/3] 5x2/2 - 3x3/3

A = [0 to 5/3] 5x2/2 - x3

A = 5(5/3)2/2 - (5/3)3 = 125/54

line passing through origin is in the form of y = mx

==> mx = 5x - 3x2

==> 3x2 + mx - 5x = 0

==> 3x2 + x(m -5) = 0

=> x(3x + (m -5)) = 0

==> x = 0 , x = (5 -m)/3

Area under y = 5x - 3x2 and y = mx is (125/54)/2 = 125/108

==> ?[0 to (5 -m)/3] 5x - 3x2 -mx dx = 125/108

==> ?[0 to (5 -m)/3] (5 - m)x - 3x2 dx = 125/108

==> [0 to (5 -m)/3] (5 - m)x2/2 - x3 = 125/108

==> (5 - m)[(5 -m)/3]2/2 - ((5 -m)/3)3 = 125/108

==> (5 -m)3/18 - (5 -m)3/27 = 125/108

==> (5 -m)3/54 = 125/108

==> (5 -m)3 = 125/2

==> (5 -m) = 3.9685

==> m = 5 - 3.9685

==> m = 1.0315

Hence slope of line = 1.0315

To learn more about slope

brainly.com/question/3605446

#SPJ3

The complete question is given below

There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?

Answer:

Natasha will arrive at 3:23

Step-by-step explanation:

(1/3)*33= 11

3:12+11= 3:23

Answer:

3.14 cube .yd

Step-by-step explanation:

Volume of cylinder= πr^2h

Answer:

True

Step-by-step explanation:

Answer:

i would say that A. would be the answer...because 0 is a #number.