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2 years ago

Prove: If the number a+7b is divisible by 17 , then the number 10a+2b is divisible by 17

1 answer:

tatiyna2 years ago

7 0

a=10a and 7b=2b then you can get your answer just set these numbers 10a+2b so you can get ur answer and 10a+2b is divisible by 17

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around a square with diagonal d = 4.6 cm a circle is described. Calculate the perimeter of the circle

Nadya [2.5K]

Answer:

14.45cm2

Step-by-step explanation:

The diagonal is the diameter of the circle.

4.6cm

The perimeter of the circle is

Pi x4.6= 3.142 * 4.6= 14.45cm2

3 0

3 years ago

Y = 2000-(1.05)

Aleonysh [2.5K]

Answer:

What is your initial value? 2000

Does this function represent exponential growth or exponential decay? Exponential growth

What is the rate of growth or rate of decay? 5%

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2 years ago

Family Video charges $10 for

Irina18 [472]

Answer:

4 movies, $20

Step-by-step explanation:

Given data

Family Video

charges $10 for a monthly membership and

$2.50 per movie

let the number of movies be x

and the charge for x movies be y

y= 10+2.5x----------1

Babe's Movies

charges a $12

membership and $2 per

movie.

let the number of movies be x

and the charge for x movies be y

y= 12+2x----------2

equate 1 and 2

10+2.5x= 12+2x

collect like terms

12-10= 2.5x-2x

2= 0.5x

x= 2/0.5

x= 4 movies

put x= 4 in equation 1 or 2

y= 12+2x----------2

y= 12+2*4

y= 12+8

y= $20

4 0

3 years ago

What is an equation of the line that passes through the points (-4,1) and (4,4)?

Ray Of Light [21]

Answer:

y = $\frac{3}{8} x + \frac{5}{2}$

Step-by-step explanation:

☆Remember: $m = \frac{y_2 - y_1}{x_2 - x_1}$

☆Remember: Slope-intercept form -> y = mx + b

☆Now. We first need to find the slope.

$m = \frac{4 - 1}{4 - (- 4)} = \frac{3}{8}$

☆Now the y-intercept.

$y = mx + b \\ \\ 4 = \frac{3}{8} (4) + b \\ \\ 4 = \frac{3}{2} + b \\ \frac{ - \frac{ 3}{ 2} = - \frac{ 3}{ 2} \: \: \: \: \: \: \: \: \: \: }{ \frac{5}{2} = b }$

8 0

2 years ago

Select the polynomial that is a perfect square trinomial. 36x2 − 4x 16 16x2 − 8x 36 25x2 9x 4 4x2 20x 25.

Naya [18.7K]

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

The given polynomial is

$a) 36x^2-4x+16$

What is the form of perfect square polynomial?

$(ax+b)^2$

we solve this method by using perfect square method

add and subtract 1/9

$36x^2-4x+16+\frac{1}{9}-\frac{1}{9}$

factor 36

$\frac{143}{9}+36(x^2-\frac{x}{9}+\frac{1}{324} )$

Now complete the square

$\frac{143}{9}+36(x^2-\frac{1}{18})^2$

Therefore this is not perfect square trinomial.

Similarly for

$b) 16x^2-8x+36$

Complete square is,

$16(x-\frac{1}{4})^2+35$

This polynomial is also not perfect square trinomial.

$c) 25x^2+9x+4\\$

complete square is,

$25(x+\frac{9}{50})^2+\frac{319}{100}$

This polynomial is not perfect square trinomial.

$d)4x^2+20x+25\\$

complete square is,

$(2x+5)^2$

This polynomial is perfect square trinomial.

Therefore,

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

To learn more about perfect square trinomial visit:

brainly.com/question/1538726

3 0

2 years ago