The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Answer:

[tex]4(x-5)(3{x}^{2}+1)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into [tex]12x^3,-60x^2,4x,[/tex] and [tex]-20[/tex] ?

It is [tex]4.[/tex]

2 - What is the highest degree of [tex]x[/tex] that divides evenly into [tex]12x^3,-60x^2,4x,[/tex] and [tex]-20[/tex] ?

It is 1, since [tex]x[/tex] is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})[/tex]

3) Simplify each term in parentheses.

[tex]4(3{x}^{3}-15{x}^{2}+x-5)[/tex]

4) Factor out common terms in the first two terms, then in the last two terms.

[tex]4(3{x}^{2}(x-5)+(x-5))[/tex]

5)  Factor out the common term [tex]x-5[/tex].

[tex]4(x-5)(3{x}^{2}+1)[/tex]

(2x−3)(x+3)

HAVE A NICE DAY!

Answer:

x=3/2 or x=-3

Step-by-step explanation:

first off equate the equation to zero

2x²+3x-9=0

then using factorisation method multiply 2 and -9 to get -18.

factors of -18 include +6 and -3

2x²+6x-3x-9=0

then factorise it

2x(x+3)-3(x+3)

(2x-3)(x+3)=0

2x=3 x+3=0

x=3/2 or -3

The equation of the circle with the new point will be x² + ( y - 2 )² = 16.

The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.

Given that:-

The equation of the circle will be formed as:-

We know that the general form of the circle is given as

( x - h )² + ( y - k )² = r²,

where ( h, k ) is the centre and r is the radius. When the circle is shifted 2 units up it means that now its centre will be ( 0, 2). So the equation will be:-

x² + ( y - 2 )² = 16

Therefore the equation of the circle with the new point will be x² + ( y - 2 )² = 16.

Learn more about Circle here:

brainly.com/question/12908707

#SPJ1

Answer:.04/n

Step-by-step explanation:solidus represents division

Answer:

7.5 m = 0.0075 km (Correct)

0.31 = 310 mm (Correct)

46 m = 4,600 cm (Correct)

457 mm =4.57 cm (Incorrect)

0.6 km = 6,000 m (Incorrect)

Step-by-step explanation:

Tell me if something is wrong.

Answer:

Is your teacher trying to confuse us or what?

Step-by-step explanation:

well 3/3 is full so it's just like 12/12, so 12 pieces of 1/12 piece are in 3/3

The area of polygons formulas to V=2.56m^2

We have to determine,

The volume of the pyramid.

The volume of a pyramid is found using the formula,

V = (1/3) Bh

where 'B' is the base area and 'h' is the height of the pyramid.

hight =2.4m

base=1.4+1.8

base=3.2m

V = (1/3) (3.2)(2.4)

V=2.56m^2

As we know the base of a pyramid is any polygon,

we can apply the area of polygons formulas to find 'B.

V=2.56m^2.

To learn more about the volume visit:

https://brainly.com/question/1972490

#SPJ1

The height of the prism is 5.67 units

How to determine height of the pyramid?

The given parameters are:

The volume of a right triangle pyramid is:

Volume = 0.5 * Height * Base dimensions

So, we have;

680 = 0.5 * Height * 15 * 16

Evaluate

Height = 5.67

Hence, the height of the prism is 5.67 units

Read more about volumes at:

https://brainly.com/question/1972490

#SPJ1

Answer:

D

Step-by-step explanation:

can't really explain it just is the answer

hope this helps!

Answer:

Area: 1,200 square centimeters. Perimeter: 140 centimeters.

Step-by-step explanation:

Since you have to multiply the length and width in order to find the area, multiply 30 and 40 together and you can find 1,200. Next, to find the perimeter you have to add all the lengths of the rectangular swimming pool, which will result in 140 centimeters.

Answer:

find the measure of J

180-45=135

find the measure of K

360-135=225

Both circle C and circle E are similar to each other but the radii are different.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Circle C is shown with a center at (negative 3, 1) and a radius of 4.

Circle E is shown with a center of (4, 9) and a radius of 3.

There is only one parameter in the circle which is radius or diameter.

Then both circle C and circle E are similar to each other but the radii are different.

As shown in the graph.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ1

Answer:

.66 cu. meters

Step-by-step explanation:

volume for cone is V=1/3 x TT x r^2 x height

TT (pi) is 3.14

radius is 1/2 of diameter (1/2 x 1.5 =  .75 )

height is 1.5 x radius (1.5 x .75 = 1.125)

V= 1/3 x 3.14 x .75^2 x 1.125

V= .66  cu. meters

Answer:

  6 h

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance / speed

The total time for the two segments of her ride will be the sum of the times for each of the segments.

__

  t1 = (9 miles)/(3 mi/h) = 3 h

After riding 9 miles of the 15-mile distance, Dana had 15 -9 = 6 miles to go.

  t2 = (6 miles)/(2 mi/h) = 3 h

The total time required for the distance of 15 miles is ...

  t1 +t2 = (3 h) +(3 h) = 6 h

It took 6 hours for Dana to cover the distance.

The water consumption based on the information for three months will be 22267m³.

The total water consumption for the three months will be:

= 7219 + 7390 + 7658

= 22267m³

In conclusion, the information simply wants you to add the values of the water given.

Therefore, the water consumption based on the information for three months will be 22267m³.

Learn more about consumption on:

brainly.com/question/24741444

#SPJ1

Answer:

A

Step-by-step explanation:y-5=6(x+1)

y-5=6x+6 Combine like terms so you add -5 to +6 which would be y=6x+11

Answer:

20

Step-by-step explanation:

it is easy first think but besides which school are you from

From the steps shown in the table given, we can conclude that: D. in solving the equation, the subtraction property of equality was not applied.

If a + b = c, to apply the subtraction property of equality so that b is moved to the other side of the equation, we would have:

a + b - b = c - b

a = c - b

Thus, from the table given, the none of the steps showed that the subtraction property of equality was applied in solving the equation, so, the answer is: D.

Learn more about the subtraction property of equality on:

https://brainly.com/question/1601404

#SPJ1

The modal lengths of the ribbons are 60 cm and 110cm.

If the length 110 is removed, the new model length would be 60 cm.

Mode refers to a value that appears most frequently in a data set. Mode is a measure of central tendency. 110 and 60cm occur twice in the dataset. Thus, they are the mode lengths.

To learn more about mode, please check: https://brainly.com/question/16505756

#SPJ1

Answer:

See below ~

Step-by-step explanation:

Q1

⇒ S = {1, 2, 3, 4, 5, 6}

===========================================================

Q2

⇒ No. of possible outcomes = 6

===========================================================

Q3

(a)

⇒ P(6) = Number of 6's / Total numbers

⇒ P(6) = 1/6

(b)

⇒ P (negative) = No. of negative numbers / Total numbers

⇒ P (negative) = 0/6

⇒ P (negative) = 0

(c)

⇒ P (odd) = No. of odd numbers / Total numbers

⇒ P (odd) = 3/6

⇒ P (odd) = 1/2

Answer:

5/8

Step-by-step explanation:

The number of possible outcomes after flipping 3 coins is $2 \times 2 \times 2 = 8$. If the dime isn't heads, we need both the penny and nickel to be heads. If the dime is heads, the other two could be anything. So there are a total of $1+(2 \times 2)=5$ ways for us to get at least 6 cents. The answer is $\boxed{\dfrac58}.$

The equations of the asymptotes of the given hyperbola are; y = ±(40/9)x

We are given;

Vertex at (0,−40)

Focus at (0, 41).

Thus, the equation of the asymptote of the given hyperbola is;

y = ±(40/(√41 - (-40))

y = ±(40/(√81)

y = ±40/9

Read more about Hyperbola Equation at; https://brainly.com/question/13003184

#SPJ1

Answer:

42 miles

Step-by-step explanation:

If it's a constant 12 miles per hour then it would be

12 mph x 3 hours = 36

then you would add that with the 1/2 hour for

12 mph x 1/2 hours = 6

36 + 6 = 42 miles traveled

Answer:

Answer

4.9/5

345

author link

audreyburkett12

   Ambitious

   102 answers

   33.2K people helped

Assuming the time changes at a constant rate, the equation for this is linear (so has the equation y=mx +c)

8am = -2

9am = -0.5

10am = 1.0

11am = 2.5

12pm = 4

m = change in each value or the slope , for this it is m=1.5

c = the y intercept, we find this by: when x=8 y must = 1.5 , which it isn't , y has to = -2 . So c = -3.5

The equation then is: y= 1.5*x - 3.5

The gradient/slope/m value is 1.5. The answer is 1.5

Part A: The amount of ice cream increases as the temperature increases. Part B: the slope is 2 and the y-intercept will be 5.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Part A: The relationship between the temperature of the city and the number of ice cream cones sold.

From the graph, the dots on the graph increase in the up-right direction.

Thus, The amount of ice cream increases as the temperature increases.

Part B: The line of best fit

First, if we draw a line through the points

we select any 2 points on the line:

( p,q) and (x,y) as (15, 35) and (0, 5).

The slope (m) is:

[tex]m = \dfrac{y-q}{x-p}[/tex]

[tex]m = \dfrac{5 - 35}{0-15}\\\\m = 2[/tex]

So, the line of best fit is:

y = mx + c

y = 2(x - 0) + 5

y = 2x + 5

The y-intercept will be when x = 0

y = 2x + 5

y = 0 + 5

y = 5

Thus, the slope is 2 and the y-intercept will be 5.

Learn more about slopes here:

https://brainly.com/question/2503591

#SPJ1

Answer: -329 sorry if i'm not right

Answer:

See below

Step-by-step explanation:

If you just want the tip

[tex]0.20*161.86\approx\frac{1}{5}*160=32[/tex]

If you want the total bill

[tex]1.20*161.86\approx160+32=192[/tex]

Step-by-step explanation:

it is just a line covering all values smaller than -8 (that means left of -8).

so, it is a line starting at -8 and going all the way to the left (to the arrow on the left). and you make an empty (hollow) dot at -8, because the value -8 is not included (otherwise it would be p <= -8, and it would be a filled dot at -8).