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Scilla [17]
3 years ago
15

What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯? Enter your answers in the boxe

s. ( , ) and ( , ) A triangle J K L is graphed on a coordinate plane. The horizontal x-axis ranges from negative 3 to 5 in increments of 1. The vertical y-axis ranges from negative 6 to 1 in increments of 1. The vertex labeled as J lies at begin ordered pair negative 2 comma negative 1 end ordered pair. The vertex labeled as K lies at begin ordered pair 4 comma negative 5 end ordered pair. The vertex labeled as L lies at begin ordered pair 0 comma negative 5 end ordered pair.
Mathematics
1 answer:
labwork [276]3 years ago
5 0

Answer:

J(-2, -1), K(4, -5), L(0, -5)

The midpoint of segment JL is

(-2 + 0)/2, (-1 + (-5))/2) = (-2/2, -6/2) = (-1, -3)

The midpoint is

(-2 + 4)/2, (-1 + (-5))/2) = (2/2, -6/2) = (1, -3)

A: (-1, -3), (1, -3)

Step-by-step explanation:

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a discount of 15% saved jackie $57 on office supplies. what was the price of the supplies before the discount?
kolbaska11 [484]

Answer:

$38-

Step-by-step explanation:

15% = $57

57 ÷ 3 = 19%

15 ÷ 3 = 5

100 ÷ 5 = 20

19% × 20 = $380

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=y%20%3D%20x%20%7B%7D%5E%7B2%7D%20-%209x%20%2B%2014" id="TexFormula1" title="y = x {}^{2} - 9x
svetoff [14.1K]

Answer:

a = - \frac{9}{2} , b = - \frac{25}{4}

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- \frac{9}{2} )x + \frac{81}{4} - \frac{81}{4} + 14

  = (x - \frac{9}{2} )² - \frac{81}{4} + \frac{56}{4}

  = (x - \frac{9}{2} )²- \frac{25}{4} ← in the form (x + a)² + b

with a = - \frac{9}{2} and b = - \frac{25}{4}

8 0
3 years ago
Read 2 more answers
Which statement is true regarding the graphed functions?
Dennis_Churaev [7]

Answer:

c

Step-by-step explanation:

took the test

4 0
3 years ago
What is the value of 1/2 x 2/3 in simplest form
Dominik [7]

Answer:

1/3

Step-by-step explanation:

First I covert them into decimals. 1/2= 0.5 and 2/3=0.66667 then I just multiplied those together and that was 0.33333 then I made it into a fraction.

Hope this helps

Please mark me as Brainliest

4 0
3 years ago
Letang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $280,00
Vanyuwa [196]

We have to calculate the EAC for both the conveyor belt system.

Solutions :

<u>Equivalent Annual Cost or (EAC) for the SYSTEM-A</u>

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times $tax rate )

                                $=-855,000(1-0.23)+\left[\left(\frac{280,000}{4}\right)\times 0.23\right]$

                               $= (-85,000 \times 0.77 ) + (70,000 \times 0.23)$

                               = $ 49,350

Year      Annual Cost flow     Present value factor    Present Value of Annual

                                                     at 10%                              cash flow

1                    -49,350                  0.909091                          -44,863.64

2                  -49,350                   0.826446                          -40,785.12

3                   -49,350                  0.751315                            -37,077.39

4                   -49,350                 <u> 0.683013   </u>                       <u>-33,706.71  </u>

     Total                                    $ 3.169865                       $ -156,432.86  

Therefore, Net Present value = present value of the annual cash flow - initial investment.

           = 156,432.86 - 280,000

          = $ 436,432.86 (negative)

Now the EAC or the Equivalent Annual Cost for System A :

$\text{EAC}= \text{Net present value / (PVIFA 10 percent, 4 years)}$

        $=\frac{436,432.86}{3.169865}$

        $= 137,681.86 $ dollar (negative)

$\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times $tax rate)

$=79,000(1-0.23)+\left[\left(\frac{360,000}{6}\right) \times 0.23\right]$

$=(-78,000 \times 0.77)+(60,000 \times 0.23)$

= -$ 47,030

Year      Annual Cost flow     Present value factor    Present Value of Annual

                                                     at 10%                              cash flow

1                    -47,030                  0.909091                          -42,754.55

2                  -47,030                   0.826446                          -38,867.77

3                   -47,030                  0.751315                           -35,334.34

4                   -47,030                 0.683013                            -32,122.12

5                  -47,030                  0.620921                            -29,201.93

6                  -47,030                 <u> 0.564474  </u>                        <u>  -26,547.21 </u>  

    Total                                     $ 4.355261                       $  -204,827.91

Net Present Value = Present Value of annual cash inflows – Initial Investment

$= 204,827.91 - 360,000$

= -$ 564,827.91 (negative)

EAC for system B:

Equivalent Annual Cost for system B $=\frac{\text{net present value}}{\text{PVIFA 10 \text percent, 6 years}}$

$=\frac{-564,827.91}{4.355261}$

= -$129,688.66 (negative)

7 0
2 years ago
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