What is the slope of y=2x-6

the smaller rectangle is a 1/4 scale drawing of the original figure. Use the drop-down menus to show the missing dimensions of t

mihalych1998 [28]

Answer:the answer is 363

Step-by-step explanation:

4 0

3 years ago

789/548x-89/887=688/8724 find x

Olin [163]

$\frac{789}{548}x- \frac{89}{887}=\frac{688}{8724}$

first we try to semplify as much as possible the fractions.

First we decompose the numbers

789 = 3 * 263

548 = 2 * 2 * 137 = 2^2

they have nothing in common, so the first fraction remains so

89 = 89 (prime number)

887 = 887 (prime number)

they have nothing in common, so the second one remains so

688 = 2 * 2 * 2 * 2 * 43 = 2^4 * 43

8724 = 2 * 2 * 3 * 727 = 2^2 * 3 * 727

they have 2^2 (=4) in common, so the numerator and the denominator can be devided by 4

$\frac{688}{8724}= \frac{688:4}{8724:4}=\frac{172}{2181}$

so:

$\frac{789}{548}x- \frac{89}{887}=\frac{172}{2181}$

now we calculate the common denominator

take the scomposition:

548 = 2^2 * 137

887 = 887

2181 = 3 * 727

take every number one time

so the common denominator is 2^2 * 137 * 887 * 727 * 3 = 1'060'131'756

now calculate every single numerator: first we divide each denominator by the common denominator, then we moltiply the result with each numerator

first fraction: 789/548

1060131756 / 548 = 1934547

1934547 * 789 = 1526357583

second fraction: 89/887

1060131756 / 887 = 1195188

1195188 * 89 = 106371732

third one: 172/2181

1060131756 / 2181 = 486076

486076 * 172 = 83605072

now we can delete the common denominator

1526357583x - 106371732 = 83605072

solve it

1526357583x = 83605072 + 106371732

1526357583x = 189976804

x = 1526357583 / 189976804

decompose

1526357583 = 887 * 3 * 3 * 727 * 263

189976804 = 137 * 2 * 2 * 211 * 53 * 31

nothing in common

x = 1526357583 / 189976804

8 0

3 years ago

Al sumar un número entero con el doble de su sucesor, se obtiene un total de 44. ¿De qué número se está hablando?

Vlad [161]

Basado en lo que nos dieron en la pregunta podemos decir que:
1) x sea un numero entero
2)x+1 sea el numero sucesor del anterior
3) los dos seran sumados y el total de la suma es 44
4) el numero sucesor es multiplicado por dos antes de ser sumado con el numero entero

Entonces tenemos:
$x+2(x+1)=44 \\ x+2x+2=44 \\ 3x=42 \\ x=14$

En este caso el numero del cual se esta hablando es 14 para comprobar

$14+2(14+1)=44 \\ 14+2(15)=44 \\ 44=44$

7 0

3 years ago

A circle has a diameter of 10 cm. What is the best approximation of its area?

Darina [25.2K]

Recall that the area of a circle can be determined by the formula pi * r(squared). Since we are given the diameter, we can divide it by 2, giving us the radius. 10 / 2 = 5 Now that we have all of our values, we substitute them into the formula for area. 3.14 * 5(squared) This simplifies to 3.14 * 25 Which gives us 78.5 I hope that helps.

7 0

3 years ago

Read 2 more answers

Write an equation for the graph below in terms of x

monitta

Answer:

x = y/2 - 1/2

Step-by-step explanation:

you can use the slope-intercept form of a line first, then change to terms of 'x'

y = mx + b where 'm' is the slope and 'b' is the y-intercept

if we use two points on the line, such as (-1, -1) (0, 1), we can find the slope

m = 1-(-1) / 0-(-1)

m = 2/1

b = 1

Slope-Intercept form: y = 2x + 1

in terms of 'x':

2x = y - 1

x = y/2 - 1/2

6 0

2 years ago