what is the factored form of -4/5(30x - 40) + (42x + 4)? ​

Answer:

[tex]x=16.4\ y=13.7[/tex]

Step-by-step explanation:

[tex][Kindly\ refer\ the\ attachment.]\\We\ are\ given\ that,\\\triangle ABC\ is\ a\ right-triangle\ and\ has\ it's\ legs\ x\ and\ z.\\It's\ altitude\ CD\ separates\ it\ into\ two\ triangles:\\\triangle BCD\ and\ \triangle ADC,\ both\ of\ which\ are\ right-triangles.\\Now,\\The\ Pythagoras\ Theorem\ tells\ us\ that:\\'The\ sum\ of\ squares\ of\ both\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\\ hypotenuse'.\\Here,\\Lets\ consider\ three\ triangles\ separately.\\[/tex]

[tex]In\ \triangle ADC\ right\ angle\ is\ at\ \angle ADC.\\Hence,\\AC\ is\ the\ hypotenuse, and\ AD\ and\ DC\ are\ it's\ legs.\\Hence,\\AD^2+DC^2=AC^2\\Or,\\9^2+y^2=x^2\\\\Lets\ take\ the\ above\ equation\ as\ E_1.[/tex]

[tex]In\ \triangle BDC\ right\ angle\ is\ at\ \angle BDC.\\Hence,\\BC\ is\ the\ hypotenuse, and\ DC\ and\ DB\ are\ it's\ legs.\\Hence,\\DC^2+DB^2=BC^2\\Or,\\21^2+y^2=z^2\\Lets\ take\ the\ above\ equation\ as\ E_2.[/tex]

[tex]Now,\\In\ whole\ \triangle ACB\ right\ angle\ is\ at\ \angle ACB.\\Hence,\\AB\ is\ the\ hypotenuse, and\ AC\ and\ BC\ are\ it's\ legs.\\Hence,\\AC^2+BC^2=AB^2\\Or,\\x^2+z^2=(21+9)^2=30^2\\Lets\ take\ the\ above\ equation\ as\ E_3.[/tex]

[tex]Lets\ now\ gather\ the\ three\ equations:\\9^2+y^2=x^2\\21^2+y^2=z^2\\x^2+z^2=30^2\\Now,\\Lets\ pair\ and\ add\ E_1\ and\ E_2.\\Hence,\\(9^2+y^2)+(21^2+y^2)=(x^2)+(z^2)\\Hence,\\81+y^2+441+y^2=x^2+z^2\\Hence,\\2y^2+522=x^2+z^2\\Considering\ E_3,\\We\ already\ know\ that,\\x^2+z^2=30^2\\Hence,\\2y^2+522=30^2\\Hence,\\2y^2+522=900\\2y^2=900-522=378\\Hence,\\y^2=\frac{378}{2}=189\\Hence,\\y=\sqrt{189}=13.7\\[/tex]

[tex]Plugging\ in\ y=13.7\ in\ E_1,\\9^2+(13.7)^2=x^2\\81+189=x^2\\x^2=270\\x=\sqrt{270}=16.4[/tex]

Answer:

A and D

Step-by-step explanation:

because they pass through the origin

Answer:

8.5 i think

Step-by-step explanation:

Answer:

the answer would be 8.5 inches

Step-by-step explanation:

its 8and a half not 0.85 so its placed wrong

Answer:

distributive property is in the middle going straight up (read it going from the bottom up)

Answer:

1st part is 958

2nd part is 1024

Step-by-step explanation:

Answer:

a. 958 inches

b. 1024 inches

Step-by-step explanation:

a. The perimeter is 2(234+245) = 958 inches, by the formula of the perimeter of a rectangle.

b. This will increase the perimeter by 2 * 33 = 66 inches (because we're increasing in one dimension), so the answer is 958 + 66 = 1024 inches.

Answer:

blue

Step-by-step explanation:

Answer:

The second option from the left

Step-by-step explanation:

The right answer is the second option because if we follow the pattern through we will get the following...

[tex]y =2(4)^{x} \\y = 2(4)^{0} = 2(1) = 2\\y = 2(4)^{1} = 2(4) = 8\\y = 2(4)^{2} = 2(16) = 32\\y = 2(4)^{3} = 2(64) = 128[/tex]

From this we know the pattern must be 2, 8, 32, 128

Answer:

girl I don't know the answer but download photomath it's a life changer

Answer:

it's B

Step-by-step explanation:

I did the math and the answer is b there is my explanation

Well 9 - 5 = 4

to figure out (7 x ?) - 7-?

First you have to figure out what ? is

Well if 9 - 5 = 4, then the ? is 4!!

So 7 x 4 =28 and 28 - 28 = 0

so your anwswer is:

(7 x 4) = (28 - 28) and the ?=4

Answer: B: 11

Step-by-step explanation:

Just to the quiz for it

An equation is formed of two equal expressions. The number of players going to the tournament is 11.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Since the cost of the van is fixed, therefore, 231. Thus, the two equations can be written as,

Solving the above two equations we will get,

Px + 3P - 4.50x -13.5 = 231

3P - 4.50x - 13.5 = 0

3P - 4.50x = 13.5

3(231/x) - (4.50x) = 13.5

693 - 4.50x² = 13.5x

-4.50x² - 13.5x + 693 = 0

x² + 3x - 154 = 0

x = -14, 11

Since the number of members can not be negative, the number of players going to the tournament is 11.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Answer: The total boats in the marina are 105.

Step-by-step explanation:

Let the total number of boats in the marina = x

Given : Number of white boats in the marina = [tex]\frac{2}{3}x[/tex]

Number of blue boats in the marina = [tex]\frac{4}{7}\times (x-\frac{2x}{3})=\frac{4}{7}\times \frac{x}{3}=\frac{4x}{21}[/tex]

Number of red boats in the marina = [tex]x-\frac{2x}{3}-\frac{4x}{21}=\frac{3x}{21}[/tex]

Given : Number of red boats in the marina = 15

[tex]\frac{3}{21}\times x=15[/tex]

[tex]x=105[/tex]

Thus total boats in the marina are 105.

By working with fractions and proportions, we will see that there are 105 boats in the marina.

Let's say that there are N boats in the marina, we know that:

2/3 of these are white, then the proportion of boats that are not white is:

1 - 2/3 = 3/3 - 2/3 = 1/3.

Of these, 4/7 are blue, then the proportion of red ones is:

1 - 4/7 = 7/7 - 4/7 = 3/7

The total proportion of red boats is:

(3/7)*(1/3) = 1/7

And we know that there are 15 red boats, this means that:

(1/7)*N = 15

Solving for N we get:

N = 7*15 = 105

So there are 105 boats in the marina.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Answer:

They are congruent because they have all the same angles

Step-by-step explanation:

Answer:

12,7

Step-by-step explanation:

use pathogaras theorem

c^2=a^2+b^2

Step-by-step explanation:

she traveled 2/3 on Saturday and the remaining is the distance for Sunday so u subtract the fractions

Answer:

ADB=45

Step-by-step explanation:

we know that angles a, b, c, and d are right, or 90 degrees. We also know that the two lines in the center are bisectors, which cut a angle perfectly in half. we can now use this equation for thet:

90/2=<ADB

ADB=45

Answer:

12 sides and measure of each interior angle is 150...

Answer:

Step-by-step explanation:

Number of sides = 360°/30° = 12

Interior angle is the supplement of exterior angle = 180°-30° = 150°

Answer:

49 pound bag=$.19 per pound

one pound = $.41 per pound

Step-by-step explanation:

49 pound bag for $9

$9/49=$0.1836 per pound

49 pound bag=$.19

one pound = $.41 per pound

Answer:

[tex]\frac{1}{1892}[/tex]

Step-by-step explanation:

There are two possibilities for each of 13 questions, true or false.  As a result, you have a [tex]\frac{1}{2}[/tex] chance of choosing either of the choices.  To find this, you would multiply the probability to the power of the number of cases, meaning [tex](\frac{1}{2^(13)})=\frac{1}{1892}[/tex].

Answer: 16.5

Step-by-step explanation:

The correct answer is given :) , for proof please select the picture in order to understand.

Answer:

65.42 is your answer

Step-by-step explanation:

Answer:

no :)

jk

65.42

Step-by-step explanation:

Step-by-step explanation:

volume of cube = a ³= 5³= 125 cm³

plz mark my answer as brainlist plzzzz vote me also.

hope this will be helpful to you .

Answer:125

Step-by-step explanation:

Answer:

It would be 5000

Step-by-step explanation:

It would be 500 b/c the number is a greater number that is 4802 and it is closer to 5000 than 4000

Answer: The second answer to the question is 7.2 + 6.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

it is b

Step-by-step explanation:

Answer:

f = 1.1 Hz

Step-by-step explanation:

Given that,

The velocity of an ocean wave, v = 4.4 m/s

The distance  between the crest of each wave is 4 m.

We need to find the frequency of the waves.

The distance between the crest of a wave is called the wavelength of a wave.

The relation between the frequency, wavelength and the velocity of a wave is given by :

[tex]v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{4.4}{4}\\\\f=1.1\ Hz[/tex]

So, the frequency of the waves is 1.1 Hz.

Answer:

the value of the polynomial should be -4

Step-by-step explanation:

Hope this Helped