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2 years ago

The width of a rectangle is 1/3 its length, l .

1 answer:

5 0

The correct expression for perimeter is 2(l+1/3l). If you solve this for 56; 2(l+1/3l) = 56. You find that l = 21. If l = 21, then the width is 7, and Area = l * w, so the area of the rectangle is 147 square inches.

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Calculate the slope of the line passing through points (-3, 4) and (-3,-7)

Andrei [34K]

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (- 3, - 7 )

m = $\frac{-7-4}{-3+3}$ = $\frac{-11}{0}$

Since division by zero is undefined then the slope is undefined

This indicates the line is vertical and parallel to the y- axis

7 0

2 years ago

Let a4+a8+a12+a16=224. Find the sum of first 19 term in sequence.

Tomtit [17]

Without knowing anything about the sequence, this is impossible to answer. But suppose the sequence is arithmetic, in which case each term differs by some constant $k$ :

$a_2=a_1+k$

$a_3=a_2+k=a_1+2k$

$a_4=a_3+k=a_1+3k$

$\ldots$

$a_n=a_{n-1}+k=a_1+(n-1)k$

Then we can write

$a_4+a_8+a_{12}+a_{16}=4a_1+36k=224\implies a_1+9k=56$

and from the formula above, we see this means the 10th term in the sequence is $a_{10}=56$ . But that's all the specific info we can gather about such an arithmetic sequence. If we set the first term to be some unknown $a_1=a$ , then the sum of the first 19 terms in the sequence would be

$\displaystyle\sum_{n=1}^{19}a_n=\sum_{n=1}^{19}\big(a+(n-1)k\big)=19a+k\sum_{n=1}^{18}n=19a+171k$

If we knew one more term in the sequence, we could determine the value of $k$ and derive the value of $a$ (if the first term $a_1$ is not immediately given), and then go on to find an exact numeric value for the sum.

7 0

3 years ago

I need someone to solve this math problem by elimination for me. 3X+2y=6 -x+y=-2

FinnZ [79.3K]

3x + 2y = 6 ⇒ -3x - 2y = -6
-x + y = -2 ⇒ -3x + 3y = -6
 -5y = 0
 -5 -5
 y = 0
 3x + 2(0) = 6
 3x + 0 = 6
 - 0 - 0
 3x = 6
 3 3
 x = 2
 (x, y) = (2, 0)

8 0

2 years ago

Can someone help me solve this system of linear equations by the addition method?

schepotkina [342]

4x-8y=4
3y=1
X=5/3
Y=1/3

3 0

3 years ago

The graph shows the amount of money liana earns per hour working as a hostess at a restraunt.

neonofarm [45]

Answer:

<h2>The Slope Is 12</h2>

Step-by-step explanation:

Below are the steps to follow to find the slope of any line.

First you need to pick two points. I chose (2,24) and (4,48). (It does not mater what points you chose.)

Now follow the equation

Slope (m) = ΔY/ΔX

ΔY = 48 – 24 = 24

ΔX = 4 – 2 = 2

24/2 = 12

Then no mater what points you chose, 12 should be your final answer

3 0

2 years ago