Factor completely 40xy2 − 36x2y. (4 points)

4xy(9y − 10x)
4xy(10y − 9x)
Prime
4xy(10x − 9y)

Answer:

Step-by-step explanation:

[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]

2x +3y=3

7x-3y=24

solve the above equations

2x+3y=3

+7x-3y=24

9x=27

x=27/9

x=3

substitute the value of x in 2x+3y=3

2(3)+3y=3

6+3y=3

3y=3-6

3y=-3

y=-3/3

y=-1

so the solution is

{x=3,y=-1}

Answer:

C : (3, -1)

Step-by-step explanation:

Answer:

0.72 inch on the map.

Step-by-step explanation:

[tex]\frac{1.8}{2} =\frac{x}{0.8}\\x=0.9 \times 0.8=0.72 ~inch[/tex]

Answer:

P

Step-by-step explanation:

It passes through -2 on the y-axis

HOPE THIS HELPS! (:

Answer:

36 ft.

Step-by-step explanation:

Use the Pythagoras Theorem.

h^2 = 10^2 + 24^2

h^2 = 676

h = √676

h = 26 ft.

Original height = 10+26 = 36 ft.

Answer:

Step-by-step explanation:

the TRee form with the ground a right triangle

let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:

now ,using the Pythagorean theorem we get :

upper part = √(10²+24²)

                 = 26

then

the original height of the tree

= 10 + 26

= 36 ft

Answer:

p+q

Step-by-step explanation:

[tex]\dfrac{p^2-q^2}{p+q}\div\dfrac{p-q}{p+q}= \\\\\\\dfrac{(p-q)(p+q)}{p+q}\times \dfrac{p+q}{p-q}= \\\\\\\dfrac{(p-q)(p+q)}{p-q}= \\\\\\p+q[/tex]

Hope this helps!

Answer:

p+q

Step-by-step explanation:

We can use difference of squares to make the fractions

[tex]\frac{(p+q)(p-q)}{(p+q)} *\frac{p+q}{p-q}[/tex]

Since dividing is the same as multiplying bt the reciprocal

The (p+q) and the (p-1) cancel out so we are left with (p+q)

Answer:

uydfg

Step-by-step explanation:

hkbchjsbchvuhc

Answer:

-44 im pretty sure

The value of the radical expression is A = -3n√12

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = -√8n² ( 12 )

On simplifying , we get

A = -√108n²

Taking the value of n outside , we get

A = -n√108

On further simplification , we get

A = -n3√12

A = -3n√12

Hence , the value of the expression after simplification is A = -3n√12

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Answer:

210cm2

Step-by-step explanation:

Area of rectangle: HxW

Area of Triangle: 1/2 x bx h

There are 3 rectangles with the length of 14x3

14x3x3

= 14x9

= 126cm2

There are two triangles with the height of 12 and base of 14.

1/2x 14x 12

= 1/2x 168

= 168/2

= 84cm2

Now finally add them together:

84+126

= 210cm2

Answer:

its c

Step-by-step explanation:

-4 is the y- intercept form and 2/3 is the slope

Answer:

C.

Step-by-step explanation:

Y intercept is -4 so a. and b. are out right away

the slope is up two over three so change in Y over change in X

Answer:

im pretty sure the second option is correct

Step-by-step explanation:

the open circle means the is greater than or equal to

since the arrow is pointing to the right that means that x is greater than

Answer:

4

Step-by-step explanation:

just because i just took it

Answer:

C) Normal distribution

Step-by-step explanation:

We are supposed to find A distribution in which the mean, mode, and median are nearly equal

A) bimodal

Bimodal distribution is a statistical pattern in which the frequencies of values in a sample have two distinct peaks, even though parts of the distribution may overlap.

B) Flat

A flat distribution can be said either to have no tails, or to have short tails.

C) Normal

A distribution in which the mean, mode, and median are nearly equal is called a normal distribution

D)Skewed

A left-skewed, negative distribution will have the mean to the left of the median.

A right-skewed distribution will have the mean to the right of the median.

Hence Option C is true

Answer:

its c on usatestprep

Answer:

false

Step-by-step explanation:

5 cant be put into 2

Answer:

not a function

Step-by-step explanation:

Since one input goes to two different outputs, this is not a one to one correspondence, then this is not a function

Answer:

Todd's Z-score is - 0.27    

Step-by-step explanation:

Explanation:-

Step(i):-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

Mean of the population 'μ' = 70

Standard deviation of the Population ' σ ' = 10

let 'x' be the random variable in normally distributed

Step(ii):-

Given raw score  'x' = 55

Todd's Z-score

                      [tex]Z = \frac{x-mean}{S.D}[/tex]

                     [tex]Z = \frac{55-70}{55}[/tex]

                     Z = -0.27

Final answer:-

Todd's Z-score is - 0.27                    

Answer:

b

Step-by-step explanation:

this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2  and she did that 5 times

this means that the final answer 5 * ( 2 + 2 )

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

rotation

Step-by-step explanation:

Answer:

the answer is 420km.

Step-by-step explanation:

Given speed of car =60km/hr

then,distance travelled in 7hours

=speed×time

=60×7=420

=distance 420 km.

Answer:

20

Step-by-step explanation:

We can use similar triangles

12/3 = x/5

x = 20

Answer:

VS = 20

Step-by-step explanation:

ST/SV = RT/QV

SV = ST×QV/RT

= 12×5/3

= 60/3

= 20

Answer:

1.) Chances of picking a black marble: 28/81 or 34.6%

2). 0/81 chances of picking a purple marble or 0%

3.) Chances of picking a red or white marble: 35/81 or 43.2%

4.) Chances of picking a marble whose color has 5 letter in it: 40/81 or 49.4%

Answer:

Step-

Honey it c !!!!………!l║.by-step explanation:

The explicit formula for the given "geometric-sequence" is aₙ = 4 × 2ⁿ⁻¹, and the eight term is 512, Option(c) is correct.

To find the explicit formula for a geometric-sequence, we need to find the common ratio between any two consecutive terms.

In this sequence, we can see that each term is obtained by multiplying the previous term by 2. So, the "common-ratio" is 2.

We also know the "first-term" is 4, so we use the formula for the nth term of a geometric sequence which is : aₙ = a₁ × rⁿ⁻¹,

Substituting the values,

We get,

⇒ a₈ = 4 × 2⁽⁸⁻¹⁾

⇒ a₈ = 4 × 2⁷

⇒ a₈ = 512,

Therefore, the correct answer is (c) aₙ = 4 × 2ⁿ⁻¹; 512.

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The given question is incomplete, the complete question is

Find the explicit formula for the geometric sequence. Then find a₈.

4, 8, 16, 32, 64,....

Which Answer is Correct:

(a) aₙ = 4 × rₙ - 1; 1024

(b) aₙ = a₁ × 2ⁿ⁻¹; 256

(c) aₙ = 4 × 2ⁿ⁻¹; 512

(d) aₙ = 2 × 4ⁿ⁻¹; 512

Answer:

689 ft

Step-by-step explanation:

Answer:

2.86

Step-by-step explanation:

h=V

πr2=441

π·72≈2.86479

Answer:

9x²-3x-25, Domain is all real numbers

Step-by-step explanation:

f(g(x)) = 3(3x²-x-10)+5

= 9x²-3x-30+5

= 9x²-3x-25

Domain is all real numbers

Hope this helps! : )

Answer:

A

Step-by-step explanation:

Perhaps you know of the {3, 4 ,5} Pythagorean triple.

Pythagoras stated a² + b² = c²

so checking for A:

a² + b² = c²

5² + 12²

25 + 144 = 169 which is 13²

Only answer A. (5, 12, 13) is a Pythagorean triple.

The others are not.

The correct answer for Pythagorean triple are (5,12,13). The correct option is A.

A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem can be written as:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Check each option:

A. (5, 12, 13)

=[tex]5^{2} +12^{2} \\[/tex]

= [tex]25 + 144[/tex]

= 169

[tex]= 13^{2} \\= 169[/tex]

Since both sides are equal (169 = 169), this is a Pythagorean triple.

B. (1, 1, 2)

[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]

[tex]= 2^{2} \\= 4[/tex]

The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.

C. (3, 4, 6)

[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]

[tex]=6^{2}[/tex]

[tex]= 36[/tex]

The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.

D. (5, 8, 10)

[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]

[tex]= 10^{2} \\= 100[/tex]

The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.

The correct answer is (5,12,13). The correct option is A.

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________________________________

Hey!!

Solution,

(5r+2)(3r-4)

= 5r(3r-4)+2(3r-4)

= 15r^2-20r+6r-8

= 15r^2-14r-8

So the right answer is 15 r squared minus 14 r minus 8

Hope it helps

Good luck on your assignment

_________________________________

Answer:

15 r squared minus 14 r minus 8

Step-by-step explanation:

from my understanding that what I think it is :) have an awesome day!!!!!!

hi this is my first answer

a straight angle has 180°,

here your given angle is 60+60=120°

so your missing angle is 180-120=60°

Step-by-step explanation:

The missing angle is 60° (180 - 60 - 60=60)

Its name: equilateral triangle

Answer:

The parking lot does not form a rectangle.

Step-by-step explanation:

Given: One pair of opposite sides of parking lot are 100 yards long. The other two sides are 60 yards long.

The distance from one end of the longer side to the opposite end of the shorter side is 120 yards.

To find: If the distances given form a right triangle?

Also, to find the hypotenuse and the numbers which represent the two sides.

Solution:

In a triangle, if the square of the length of the longest side is equal to the sum of the squares of the other two sides, then the triangle is said to be a  right angled triangle.

[tex](60)^2+(100)^2=3600+10000=13600\\(120)^2=14400\\\therefore (60)^2+(100)^2\neq (120)^2[/tex]

So, the triangle is not a right angled triangle.

So, none of the angles of the parking lot forming a quadrilateral is equal to [tex]90^{\circ}[/tex].

Hence, the parking lot is not a rectangle although the opposite sides are equal.

(A quadrilateral in which opposite sides are equal such each angle is [tex]90^{\circ}[/tex] is a rectangle )

The distances given do not form a right triangle.

Answer:

A = 6 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (6)(2)

A = 6 units^2

Answer:

6 units^2

Step-by-step explanation:

The area of a triangle can be found using the following formula.

a=(bh)/2

where b is the base and h is the height. In this triangle, we know that 6 units is the base. We also know that 2 units is the height, because the height should form a right angle(little square) with the base.

b=6

h=2

Substitute these values into the formula.

a=(6*2)/2

Multiply 6 and 2 first.

a=12/2

Divide 12 by 2

a=6

Add appropriate units. Area always has the unit squared.

a= 6 units^2

The area of the triangle is 6 square units.

Answer:

20 p^5 + 15 p^4 - 5 p^3

Step-by-step explanation:

5p^3(4p^2 + 3p - 1)

Distribute

20 p^5 + 15 p^4 - 5 p^3

Answer:

- 20 p^5 - 15 p^4 + 5 p^3

Step-by-step explanation:

= - 5p^3(4p^2 + 3p - 1)

= - 20 p^5 - 15 p^4 + 5 p^3

Hope this helps!