Can someone please solve 16 and 17

Step-by-step explanation:

[tex]16x^4-(y-1)^2=4^2\cdot (x^2)^2-(y-1)^2=(\textcolor{blue}{4x^2})^2-(\textcolor{green}{y-1})^2[/tex]

[tex]\text{Comparing with } \textcolor{blue}{U}^2-\textcolor{green}{V}^2, \text{ we know}[/tex]

[tex]\textcolor{red}{U=4x^2, V=(y-1)}[/tex]

[tex]\text{By the formula } U^2-V^2=(U+V)(U-V)[/tex]

[tex]16x^4-(y-1)^2=(4x^2)^2-(y-1)^2=\textcolor{red}{(4x^2+y-1)(4x^2-y+1)}[/tex]

Step-by-step explanation:

Taking A as people who watch tennis and B as people who play sport. Then finding the number of people who watch tennis but doesn't play sports through formula of sets.

And then finding probability.

Answer:

15+3=15+13

Step-by-step explanation:

Answer:

Step-by-step explanation:

js it not letting me open the other tabs and that your question doesn't make sense

Answer: A=(5,2) B=(5,-1) C=(6,-1) D=(6,2)

Step-by-step explanation: part D: The x-coordinates of the translated figure are 2 more than the original x-coordinates. The y-coordinates of the translated figure are 4 less than the original y-coordinates.

Part E: A translation of two yards east involves moving 2 units in the positive x-direction. Given any initial x-coordinate, x, the algebraic expression that represents the new x-coordinate after the translation is x + 2.

Part F: A translation of four yards south involves moving 4 units in the negative y-direction. Given any initial y-coordinate, y, the algebraic expression that represents the y-coordinate after translation is y + (-4).

Part G: Combining the expressions from parts E and F, for any given initial point (x, y), the coordinates of the new point after a translation of two yards east and four yards south are (x + 2, y + (-4)).

Answer:

3

Step-by-step explanation:

I just answered that one on a quiz

Answer:

144

Step by step explanation ;

Area of square is S×S

side X×X=9

X equals 3

4×3=12

12×12=144

The area of a square of side 4x will be 36 square units.

A square is a four-sided polygon, whose all sides are equal in length and whose opposite sides are parallel to each other.

Also, each vertex of the square has an angle equal to 90 degrees.

The area of the figure is the product of the length of the side.

Area of square = Side × Side

The area of a square with side x is 9. Then the area will be

Area = 4x

Area = 9 × 4

Area = 36

The area of a square of side 4x will be 36 square units.

Learn more about an area of the square here:

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Answer:

$y=(7/2)x+20$

Step-by-step explanation:

SInce the gradient of the first line is $-2/7$ then the gradien of the perpendicular line is $7/2$.

Therefore by the point slope formula the line that we are looking for is

$y-6=(7/2)(x+4)$

$y=(7/2)x + 20$

Answer:

24°

Step-by-step explanation:

66°+b=90°(right angle)

or,b=90°-66°

or,b=24°

hope this helps you

Answer:

- Reagan needs to purchase 1346 centimeters. I think it solve like this (238+435)×2 =1346 cm.

- what length of fringe does Raegan need for the longer bedspread? The answer is :

1346 + 27×2 = 1400 cm.

What if there are mistakes, hope you sympathy and forgiveness !!!

Answer:

2(2y+5)/2=37.2/2

2y+5=37

2y+5-5=37-5

2y=32

2y/2=32/2

y=16

the closest to that is y=8

Step-by-step explanation:

hope that helps>3

Answer:

4000

Step-by-step explanation:

c

Step-by-step explanation:

make the denominator the same with multiplying and you multiply the top how much you multiply the bottom

Answer:

it's C

Step-by-step explanation:

I can't explain things but yeah

Answer:

5x + 13

Step-by-step explanation:

x times 5 is 5x.

13 more than 5x is 5x + 13, or 13 + 5x. (Same thing.)

The required expression is 5x + 13.

It is required to find the required expression.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given problem is 13 more than x times 5.

According to given question we have,

x times 5 is 5x.

13 more than 5x

= 5x + 13

Therefore, the required expression is 5x + 13.

Learn more about expression here:

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[tex] - 4a - (8a + 1) = - 169 \\ \\ 4a + 8a + 1 = 169 \\ \\ 4a + 8a = 169 - 1 \\ \\ 12a = 169 - 1 \\ \\ 12a = 168 \\ \\ a = \frac{168}{12} \\ \\ a = 14 \\ \\ this \: was \: helping \: you[/tex]

Step-by-step explanation:

Okay so remember the BODMAS rule where u start with brackets right; Since we're proving that RHS =LHS ,we look at the side which is more complicated and solve it first.

RHS: -4a-(8a+1) =-169

-4a-8a-1=-169

-4a-8a= -169+1 ( N:B like terms)

-12a= -168

-12a/-12= -168/-12

a= 14

Then go back to the original equation and subtitute .

where u see a u put the value u calculated.

-4a-(8a+1)=-169

-4(14)-(8(14)+1)= -169

-169= -169 and u DONE!!

Step-by-step explanation:

I think second would be better because there is no charges for per day and then it will be cheaper than the car rental value

Step-by-step explanation:

taxi rates $ 6.50 for the first mile plus for each additional mile

because it is cheaper.

Answer:

-9

Step-by-step explanation:

C + D

-----------

C - D

= 8/11 + 10/11

- - - - - - - - - -

8/11 - 10/11

=18/11

- - - - -

- 2/11

=18/11 x 11/-2

= - 9

Answer:

The answer is -9

Step-by-step explanation:

8/11 + 10/11

8/11 - 10/11

18/11

-2/11

= -9

Add the 3 ratios together: 1 + 3 + 2 = 6

Divide perimeter by total:

30/6 = 5

Multiply each ratio by 5:

1 x 5 = 5

3 x 5 = 15

2 x 5 = 10

The greatest side is 15 cm

Answer:

17 & 18

Step-by-step explanation:

We can write S as

[tex]\displaystyle S = \sum_{k=0}^{n-1} (n-k)3^k[/tex]

and expand it as

[tex]\displaystyle S = n \sum_{k=0}^{n-1} 3^k - \sum_{k=0}^{n-1} k\cdot3^k[/tex]

The first sum is geometric, nothing tricky:

[tex]\displaystyle\sum_{k=0}^{n-1} 3^k = 1 + 3 + 3^2 + \cdots + 3^{n-1} \\\\ \implies 3\sum_{k=0}^{n-1} 3^k = 3 + 3^2 + 3^3 + \cdots + 3^n \\\\ \implies -2\sum_{k=0}^{n-1} 3^k = 1 - 3^n \\\\ \implies \sum_{k=0}^{n-1} 3^k = \frac{3^n-1}2[/tex]

For the second sum, you can use the same method employed in another question of yours (24494877) to find

[tex]\displaystyle \sum_{k=0}^{n-1} k\cdot 3^k = \frac{(2n-3)3^n+3}4[/tex]

So this sum comes out to

[tex]\displaystyle S = n\cdot\frac{3^n-1}2 - \frac{(2n-3)3^n+3}4 \\\\ S = \frac{2n\cdot3^n-2n - (2n-3)3^n-3}4 \\\\ \boxed{S = \frac{3^{n+1}-2n-3}4}[/tex]

Answer:

a) y=1/3x-2

b) y=1/5x+2

c) y=[tex]\sqrt{x}[/tex]

Step-by-step explanation:

Answer:

946

Step-by-step explanation:

xyz- the searched number where x depicts hundreds, y - tens and z describes ones. Both X and Z are divisible by 3 .Y and Z are divisible by 2

Z is divisible by 3 and divisible by 2, the only digit which is possible is 3*2=6

6-2=4 - tens digit Y

The hundreds place digit is 3*3=9

S0 946- is an answer

Answer:

-12.5 is not a whole number.

Step-by-step explanation:

EF = 6x - 4

and it is also the combination of EG and GF.

so,

6x - 4 = EG + GF = EG + 13

6x = EG + 17

now, we have additional information. EF bisects CD. that means it cuts CD in half.

and that means both banks must be off equal size.

5x - 1 = 7x -13

12 = 2x

x = 6

so, back to the first problem

6×6 = EG + 17

36 = EG + 17

19 = EG

Answer:

28%

Step-by-step explanation:

Hjhbvcghbbbvvu88i

Answer:

12

Step-by-step explanation:

(1/3) x  + 5 = 9

(1/3) x = 9 -5

(1/3) x = 4

Multiply both sides by 3

x = 12

Answer:

x = 12

Step-by-step explanation:

1/3x + 5 =9.

1/3x = 4,

x = 12