The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2

What is the width
What is the length

9514 1404 393

Answer:

  neither; they are the same distance from the line

Step-by-step explanation:

The distance of point (x, y) from line ax+by+c=0 is given by ...

  d = |ax +by +c|/(√a² +b²)

Since we're using the same line for both points, we only need to evaluate ...

  d = |ax +by +c|

Subtracting y can put the equation in the desired form:

  1/2x -y +4 = 0

__

For point A, the expression of interest evaluates to ...

  |(1/2)(-2) -(6) +4| = |-1-6+4| = 3

For point B, the expression of interest evaluates to ...

  |(1/2)(4) -(3) +4| = |2-3+4| = 3

These values tell us the points are the same distance from the line.

_____

The attached graph shows that circles of the same radius centered on A and B are both tangent to the line. Hence the distances are the same.

Answer:

45.27feet

Step-by-step explanation:

Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)

Note that the velocity of the balloon at maximum height is zero, hence;

v = dh/dt =0

-32t+28.7 = 0

-32t = -28.7

t = 28.7/32

t = 0.897secs

Get the maximum height

Recall that h=−16t²+28.7t+32.4

h = -16(0.897)²+28.7(0.897)+32.4

h= -12.87+25.74+32.4

h = 45.27feet

Hence the maximum height reached is 45.27feet

Answer:

m = -2

Step-by-step explanation:

To get the slope of the line, we are going to use the 2-points slope equation form

That will be;

m = (y2-y1)/(x2-x1)

(x1,y1) = (-5,11)

(x2,y2) = (8,-15)

m = (-15-11)/(8-(-5)) = -26/13 = -2

The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;

m = (x2-x1)/(y2-y1)

It is an error of switching the numerator for the denominator

Answer:

16x - 49

Step-by-step explanation:

Answer:

Im not sure 4x+8 and then 4×-7??? do it on your calendar frl amd you can see amd type exactly what the guesting..

Answer:

16027.52

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because i took the the test

Answer:

32

Step-by-step explanation:

You have to use pythagorean theorem for this, where a and b represent the 2 sides while c represents the hypoteneuse.

a²+b²=c²

If the diagonal of a square is 8, it divides the square into 2 triangles, both with a hypoteneuse of 8. Since it is a square, that means the other 2 sides will have equal lengths. So input 8 into the equation:

a²+b²=8²

a²+b²=64

Then you can change a and b into the same variable, since you know they will be equal due to you working with a square.

a²+a²=64

simplify: 2a²=64

divide both sides by 2: a²= 32

square root both sides: a = [tex]\sqrt{32}[/tex]

then you know the length of each side is [tex]\sqrt{32}[/tex]

to find the area of a square, you must multiply both sides by each other, so do [tex]\sqrt{32}[/tex]*[tex]\sqrt{32}[/tex], which will give you 32 since you are essentially doing this:

[tex](\sqrt{32})^2[/tex] in which the square and square root cancel out.

Answer:

-20+(-13)-7-(+11)+14= -37

Step-by-step explanation:

we make first : +(-13)= -13 then -(+11)=-11

then we calculate all the nb we have

-20-13-7-11+14= -37

Answer:

5.5 times

Step-by-step explanation:

0.33/0.06=5.5

Answer:

- 1/x^18 y^3

Step-by-step explanation:

Answer:

(3,1)

Step-by-step explanation:

If you plot both of the points on a graph you get another straight line.

When you connect the dots you get 3,1 as the midpoint of the two segments :))

Answer:

37.5%

Step-by-step explanation:

Labor rate = 8.75 dollars per hour.  

Hours worked = 6

Direct cost of labor = 140 dollars

Total price of services = 224 dollars

Therefore, the overheads = 84 dollars which is

84 X 100 / 224 = 37.5%

Answer:

.........jdjdjdndjxbxbbxx

Answer: A because it keep going none stopping

Step-by-step explanation:

Answer:

It is $42

if I am wrong then let me know so I can recheck my work

Answer:

$42

Step-by-step explanation:

20+10=30%

60*0.3=18

60-18=42

Answer:

7 is 8,and 8 is 23p+9

Answer:

7= 8

8=

Step-by-step explanation:

Step-by-step explanation:

Given inequality

n - 15 > - 5

The inequality can also be written as :

n - 15 = - 5

n = - 5 + 15

n = 10

or

n > 10

Hope it will help :)

Answer:

n>10

Step-by-step explanation:

n-15>-5

n>-5+15

n>10

Answer:

3421.19

Step-by-step explanation:

A=πr2=π·332≈3421.1944

Answer:

3419.46

Step-by-step explanation:

To find the area of a circle you need to:

pi(3.14) x Radius²

= 3.14 x 33²

= 3419.46

I hope it is right since I literally started this topic.

Answer:

the 3rd one hope this helps

Step-by-step explanation:

Answer:x  31.5 mm

Step-by-step explanation:I hope this helps

The actual length of the room on the blueprint  31.5mm.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question

35mm represents 10m

⇒ 1m = 35/10

⇒ 1m = 3.5mm

Therefore,

The actual length of the room on the blueprint = 3.5 × 9 = 31.5mm

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

1 - (1/4 + 2/3)

1 - (3/12 + 8/12)

1 - 11/12

1/12 left

Answer:

x=2.192785

Step-by-step explanation:

52x−1=12x

log(52x−1)=log(12x)

(2x−1)*(log(5))=x*(log(12))

2x−1=(

log(12)

log(5)

)*(x)

2x−1=1.543959*x

2x−1=1.543959x

2x−1−1.543959x=1.543959x−1.543959x 1.543959x

0.456041x−1=0

0.456041x−1+1=0+1

0.456041x=1

0.456041x

0.456041

=

1

0.456041

0.456041)

x=2.192785

Answer:

x = 2.19

Step-by-step explanation:

Given that,

An equation, [tex]5^{2x-1} =12^{x}[/tex]

To find,

The value of x.

Solution,

We have,

[tex]5^{2x-1} =12^{x}[/tex]

Taking log both sides,

[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]

We know that,

[tex]\text{log}\ a^n=n\ \text{log}a[/tex]

So,

[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]

So,

[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]

So, the value of x is equal to [tex]2.19[/tex].

Reference,

https://brainly.com/question/14968632

Answer:

10/3, or 3 1/3.

Step-by-step explanation:

3/1 + 1/3

3 + 1/3

9+1/3

10/3, or 3 1/3.

Answer:

54.5%

Step-by-step explanation:

Given data

Cost price= $15

Selling price= $33

Mark up percent =????

%markup= selling-cost/selling*100

substitute

%markup= 33-15/33*100

%markup= 18/33*100

%markup=0.545*100

%markup= 54.5%

Hence the Percent markup is 54.5%

Answer:

157.2

Step-by-step explanation:

Delta math

Answer:  157.2  degrees

Step-by-step explanation: Use law of cosines

A or D. not sure 'bout it. sorry.

Answer:

b. [tex] {x}^{4} \:varies \: directly \: as \: y[/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{4} }{y} = 7 \\ \\ \implies {x}^{4} = 7y \\ \\ \implies {x}^{4} \: \alpha \: y \\ {x}^{4} \:varies \: directly \: as \: y[/tex]

Answer:

3

Step-by-step explanation:

We are given an expression and are asked how many terms are there.

When it comes to terms, we need to see how many numbers have different endings, this can be variables, symbols, and exponents.

Looking into it, we see 4x^2 - 3x + 2

These are all different terms, therefore there are 3 different terms.

Answer:

9x-10= 2x+4

x=2

Step-by-step explanation: