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3 years ago

I

Mathematics

1 answer:

posledela3 years ago

5 0

Answer:

6(x-8)=5-2x

Step-by-step explanation:

let the number be x

so we have six times the difference between a number and 8

that is 6(x-8).

is equal to 5 less than twice the number ..we have

=5-2x.

therefore, our answer becomes:

6(x-8)=5-2x

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What is the spread of the data?

Nonamiya [84]

C is the correct answer

5 0

3 years ago

Triangle DNO has vertices at D(5, 8), N(– 3, 10), and O(– 3, 6). If vertex D is translated 4 units to the right, the best name f

prisoha [69]

Using distance between two points to find the lengths of the edges of the triangle, the correct option is:

b. Isosceles

The distance between two points, $(x_1,y_1)$ and $(x_2,y_2)$ , is given by:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Vertex D is translated 4 units to the right is (9,8).

The lengths of the edges are:

$DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}$

$DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}$

$NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4$

<u>Two edges of the same length</u>, hence, it is an isosceles triangle, given by option b.

You can learn more about distance between two points at brainly.com/question/18345417

6 0

3 years ago

Original price $65.00; Markdown: 12%

MAVERICK [17]

65 x .12 = 7.865 - 7.8 = 57.2

8 0

3 years ago

The table shows a linear function. <br>which equation represents the function?

Bas_tet [7]

Answer:

Option C is correct.

The equation $f(x)= -\frac{1}{2}x +4$ represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points $(x_1, y_1)$ and $(x_2, y_2)$ the equation of line is given by:

$y -y _1 = m(x-x_1)$ ......[1] ;where m is the slope given by:

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

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

$m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}$

$m = \frac{2}{-4} = -\frac{1}{2}$

Now, substitute in equation [1] we have:

$y - 2 = -\frac{1}{2} (x-4)$

Distributive property i.e, $a\cdot (b+c) = a\cdot b + a\cdot c$

$y -2 = -\frac{1}{2}x +2$

Add both sides 2 we get;

$y -2+2 = -\frac{1}{2}x+2+2$

Simplify:

$y = -\frac{1}{2}x+4$

Since, y= f(x)

$f(x)= -\frac{1}{2}x +4$

therefore, the equation $f(x)= -\frac{1}{2}x +4$ represents the function.

8 0

3 years ago

Plz help me I can't get these wrong plz help meeeee

Vika [28.1K]

Answer: w<0

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers