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3 years ago

12

if a piece of string 23 inches long is cut into two pieces so that one piece is 9 inches shorter than the other, how many inches

long is the longer piece?

1 answer:

TEA [102]3 years ago

7 0

Answer:

14

Step-by-step explanation: 9+14=23

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3><u>Explanation</u><u>:</u></h3>

Calculate the slope with two given coordinate points by using rise over run.

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

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

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

<h3><u>Answer</u></h3>

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

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7 0

3 years ago

1. Mr. Samuel had 13 notes in his wallet. They consist of $1. $5 and $10 notes. The total amount of the notes adds up to $93. Ho

bazaltina [42]

Answer:

8 $10 notes

Step-by-step explanation:

I started by working it backwards. $93-$3 equals $90. So we have three of our 13 notes. We need ten more. Well the most $10 notes we can have is 8. if we had 8 $10 notes that would give us $80. $90-$80=10. We can take ten and divide it by five so we have 2 $5 notes.

So in total he would have 8 $10 notes, 2 $5 notes, and $3 one dollar notes which adds up to 13 notes

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2 years ago

In a class⅗ of the children are going to special event If there are 30 children in the class,how many are going

irinina [24]

Answer:

18

Step-by-step explanation:

3/5 x 30

(3 times 30)divided by 5

= 18 children are going.

Hope this helps:-)

4 0

3 years ago

How to factor the algebraic expression 24a + 28

bonufazy [111]

So use undistributive properyt]
ab+ac=a(b+c)
so factor 24a dadn 28 to find 'a' the common factor
24=2 times 2 times 2 times 3 tiems a
28=2 times 2 times 7
common one is 2 itmes 2=4
a=4
4(2 times3 times a)+4(7)=4(6a)+4(7)=4(6a+7)

7 0

3 years ago

|x| + 4 > 7 plz help and hurry

Talja [164]

Answer:

The solution is $(-\infty,-3)\cup(3,\infty)$ .

Step-by-step explanation:

Given:

The inequality given is:

$|x|+4>7$

In order to simplify for 'x', we first isolate 'x' on one side.

Adding -4 on both sides, we get:

$|x|+4-4>7-4\\\\|x|>3$

Now, $|x|$ is an absolute value function which is defined as:

$|x|=\left \{ {{-x}\ \ x$

Therefore, the given inequality can be rewritten as:

$-x > 3\\x$ and $x > 3$

Therefore, the solution is $(-\infty,-3)\cup(3,\infty)$ .

4 0

3 years ago