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Answer:

x = 8

Step-by-step explanation:

==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.

Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.

Thus, AB/EF = BC/FG = CD/GH = DA/HE

We have: 3/y = 4/3 = 5/z = x/6

Finding z:

4/3 = 5/z

Cross multiply

4*z = 5*3

4z = 15

z = 15/4

z = 3.75

Let's find x:

5/z = x/6

5/3.75 = x/6

Cross multiply

6*5 = x*3.75

30/3.75 = x

8 = x

x = 8

Answer

C

Step-by-step explanation:

PRIMERO ENCUENTRAS x

y = 6x - 5

y =  x + 5 (-1)

      5x + 10

x = 10/5 = 2

ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES

ORIGINALES.

y = 62) - 5 = 7

Answer:

432 cm²

Step-by-step explanation:

To find the surface area of a cuboid, there is a formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

Multiply all the terms.

336+96

Add both the terms.

= 432

The surface area of the open cuboid is 432cm².

Answer:

432 cm²

Step-by-step explanation:

The formula.

2lw+2lh+2hw

Length is l, height is h, and width is w.

2(12)(8)+2(12)(6)+2(6)(8)

336+96

= 432

The surface area of the open cuboid is 432cm²

Answer:

Step-by-step explanation:

[tex]f(x) =x^2[/tex] is, in vertex form,

[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.

g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is

[tex]g(x)=-x^2-4[/tex], choice D in your list.

Answer:

D

Step-by-step explanation:

The opposite side of function f(x) is g(x). So -x².

The y-intercept is -4.

- x² - 4

Answer:

There are 86,400 seconds in a day. (Answer choice C)

Answer:

i hope this helps and its clear !

Answer:

a(8) = -49152

Step-by-step explanation:

Step 1: Find r

-12/3 = 4

Step 2: Write geometric explicit formula

[tex]a_{n} = 3(4)^{n-1}[/tex]

Step 3: Plug in 8th term for n

[tex]a_{8} = 3(4)^{7}[/tex]

a(8) = -49152

Alternatively you can find r then multiply 3 by -4 8 times.

Answer:

1

Step-by-step explanation:

=> [tex]\sqrt[3]{1}[/tex]

=> [tex]\sqrt[3]{1*1*1}[/tex]

=> [tex]\sqrt[3]{1^3}[/tex]

=> 1

Answer:

First graph -2/3x+6 (Slope of -2/3)

(Y intercept of 6)

Then shade everything under that line

Answer:

The transformation is

reflection in the x axis

That's ( x , - y)

Hope this helps.

Answer:

A. 7

Step-by-step explanation:

7= 1*7

8= 1*8= 2*4

9= 1*9= 3*3

10= 1*10= 2*5

Answer:

[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]

[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]

[tex] = \frac{ + 2}{4} [/tex]

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

Here's your answer girlfriend

Please follow me

Answer:

[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]

Hope this helps!

Answer:

(2√7 + 3√6) x (5√2 + 4√3)

Multiply the parentheses

= 10√14 + 8√21 + 15√12 + 12√18

= 10√14 + 8√21 + 30√3 + 12√18

Answer:

A & D

Step-by-step explanation:

=> 3x²+2x-5 = 0

=> Using Mid-term Break Formula

=> 3x²-3x+5x-5 = 0

=> 3x(x-1)+5(x-1) = 0

=> (3x+5)(x-1) = 0

Either,

3x+5 = 0    OR   x-1 = 0

x = [tex]-\frac{5}{3}[/tex]        OR    x = 1

Answer:   x = 1       and        x = 5/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is

x = 2y + 7

The second equation, then, is

x - y = 22

Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:

2y + 7 - y = 22 and

y + 7 = 22 so

y = 15.

Sub that in for y to solve for x:

x - 15 = 22 so

x = 37

Answer:

its 37

Step-by-step explanation:

Answer:

d. The two triangles are not congruent because dilation is not a rigid motion.

Step-by-step explanation:

Triangle ABC is dilated about the origin b a factor of 2. It is then reflected and translated to form Triangle XYZ.

The new triangle formed is not congruent to ABC because the image is not the same size as the pre-image. It is only rigid transformations that preserve length, however dilation is not a rigid transformation.

Answer:

1

Step-by-step explanation:

8:8=1

Answer:

8:8 simplified is 1:1 or just 1 for short.

Answer:

8 th term

Step-by-step explanation:

Continuing the sequence from the last term given (term 4 )

a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25

a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125

a₇ = 0.5 × 4.125 - 2 = 2.125

a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative

The first term to be negative is term 8

Answer:

It is D.

Step-by-step explanation:

270 degrees counterclockwise is 90 degrees clockwise.

Answer:1/11

Step-by-step explanation:

Let the yellow cubes be x

yellow = x

blue = 2x                // Blue cubes is twice of yellow

Green = 8x              // Green is four times of blue

Ratio:

Yellow : Blue : Green

  1       :   2    :     8

P(Yellow) = 1/11

Answer:

Either £16 or £26.32 depending on what you meant in the question

Step-by-step explanation:

I'm going to answer the question in 2 ways, since I'm not sure if you mean £14 or 14%

If its £14, then the original price is 30-14 = £16

If its 14% then that means after the increase, the shirt will be 100%+14% of the original price or 114% of the original price.

This means that

£30 = 114%

To make it easier, reduce the 114% to 1 %

1% = 30/114

1% = £0.26316

100% = £26.32 (rounded to 2 decimal places)

Therefore the original price was £26.32

Answer:

1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.

Answer:

252 bags of maize

Step-by-step explanation:

From the question, we are told that a farmer harvested maize

In the year 2012 = 144 bags of maize

In the year 2013(following year) the harvest decreased in the ratio 3:4

This means

3:4 = 2013: 2012.

Where number of bags harvested in 2013 = unknown = x

3/4 = x/ 144

Cross multiply 4x = 3 × 144

x = 3 × 144/ 4

× = 108

This means 108 bags of maize was harvested in 2013

The total number of bags harvested is = 108 + 144

= 252 bags of maize.

Answer:

5

Step-by-step explanation:

A pentagon is a polygon that has 5 sides.

Answer:

A pentagon has 5 sides

Step-by-step explanation:

penta, often means 5.

Answer:

Solution,

[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

Answer: Organizes Data

Step-by-step explanation:

A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs

Answer:

g(1) = 1.8696

g(2) = 1.8662

Step-by-step explanation:

Simply plug in the x values into the equation in a calc and you should get your answer.

Answer:

12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3

Step-by-step explanation:

Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.

Answer:

2

4

And 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the function f(x)=(x+4)², the x intercept occurs at f(x)  = 0, substituting f(x) = 0 into the given equation to get the value of x we have;

[tex]0 = (x+4)^{2} \\[/tex]

Taking the square root of both sides

[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]

Subtracting 4 from both sides of the equation

[tex]x+4-4 = 0-4\\x = -4[/tex]

Therefore the x intercept of the equation is -4