What is the slope of a line that is perpendicular to 5 x

-19=-17+k/5 please show work

EleoNora [17]

Answer:

Step-by-step explanation:

-19=-17+k/5

add 17 to both sides

-2=k/5

multiply by 5 on both sides to get k alone

k=-10

7 0

3 years ago

Read 2 more answers

The measurements of the three sides of a triangle are represented by the expressions 2x, 3x and 4x. If the perimeter of this tri

Harrizon [31]

Answer:

4, 6 and 8

Step-by-step explanation:

The perimeter is the sum of the lengths of the 3 sides, hence

2x + 3x + 4x = 18

9x = 18 ( divide both sides by 9 )

x = 2

The 3 sides have length

2x = 2 × 2 = 4

3x = 3 × 2 = 6

4x = 4 × 2 = 8

4 0

4 years ago

Explain how to get that answer!!

ra1l [238]

We need to simplify $\frac{ \sqrt{14x^3} }{ \sqrt{18x} }$

First lets factor $\sqrt{14x^3}$

$\sqrt{14x^3}$ = $\sqrt{14} \sqrt{x^3}$
$\sqrt{14} = \sqrt{2} \sqrt{7}$ by applying the radical rule $\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}$
$\sqrt{x^3} = x^{3/2}$ By applying the radical rule $\sqrt[n]{x^m} = x^{m/n}$

So
$\sqrt{14x^3}$ = $\sqrt{14} \sqrt{x^3}$ = $\sqrt{2} \sqrt{7}x^{3/2}$

Now let's factor $\sqrt{18x}$
By applying the radical rule $\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}$ ,
$\sqrt{18x} = \sqrt{18} \sqrt{x}$
$\sqrt{18} = \sqrt{2} * 3$

So $\sqrt{18x}$ = $\sqrt{2}*3 \sqrt{x}$

So $\frac{ \sqrt{14x^3} }{ \sqrt{18x} }$ = $\frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3 \sqrt{x} }$

We know that $\sqrt[n]{x} = x^{1/n}$ so $\sqrt{x} = x^{1/2}$

We now have $\frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3 \sqrt{x}} = \frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3x^{1/2}}$

We know that $\frac{x^a}{x^b} = x^{a-b}$
So $\frac{x^{3/2}}{x^{1/2}} = x^{3/2 - 1/2} = x$

We now got $\frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3x^{1/2}} = \frac{ \sqrt{2} \sqrt{7} x }{ \sqrt{2}*3}
$

We can notice that the numerator and the denominator both got √2 in a multiplication, so we can simplify them, and we get:
$\frac{ \sqrt{2} \sqrt{7} x }{ \sqrt{2}*3} = \frac{ \sqrt{7}x }{3}$

All in All, we get $\frac{ \sqrt{14x^3} }{ \sqrt{18x} }$ = $\frac{ \sqrt{7}x }{3}$

Hope this helps! :D

6 0

3 years ago

Summation notation help!!!!

solniwko [45]

3 is always on the numerator. It is not effected by a power. The answer has to be something that leaves the numerator alone. That means that B is not correct.

The answer is going to be something that makes the denominator 1 when n = 1. That's going to be the answer to the question, because the first term in the sequence is just 3. The denominator must be 1. (not zero).

D is not the answer, because 3/5^1 = 3/5, so D is wrong.

A is not going to get us anywhere either. 3/5^(1 + 1) = 3/5^2 = 3/25 which is not the first term.

The only choice we have left is C. It must be the answer. 3/5^(1 - 1) = 3/5^0 = 3/1 = 3. There's your answer. Note anything raised to the zero power = 1.

4 0

3 years ago

Dia loves to drink hot chocolate in the morning. Her dad makes the hot chocolate the same way each day. He uses 3 ounces of choc

Elden [556K]

Answer:

9 ounces

Step-by-step explanation:

He uses 3 ounces 3 different days. That is 3x3 which equals 9. Hope you get a 100! :)

8 0

3 years ago

What is the slope of a line that is perpendicular to 5 x – 2 y = 1 ?