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Nana76 [90]
3 years ago
15

Find the perimeter of the polygon with the vertices G(2, 4), H(2,−3), J(−2,−3), and K(−2, 4).

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer:

<em>22 units</em>

Step-by-step explanation:

Graphed to solve.

Width:

The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.

Length:

The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.

14 + 8 = 22

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Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply.
SCORPION-xisa [38]

Answer:

{-3/2, 4}

Step-by-step explanation:

Use synthetic division here.  If the remainder is 0, then the divisor is a root or solution.

Here we have x = -4.  Perform the synthetic division as follows:

-4       4     -10    -24

                 -16     108

------------------------------

          4      -26     84              The remainder is 84, which tells us -4 is NOT

                                                a root/solution.

Try -3/2 as divisor this time:

-3/2    4     -10    -24

                   -6    24

------------------------------

          4      -16       0            Remainder is 0, so -3/2 is a solution

Show in the same manner that 4 is a solution also.  Or determine whether x - 4 satisfies 4x - 16 = 0 (it does).

8 0
3 years ago
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A cantaloupe weights 56 ounces there are 16 ounces in a pound how many pounds does the cantaloupe weight
Semenov [28]
It would be 3.5 as you start with 56 then take away 16 =40 then another witch is 24 the another 16 Is 8 so you have taken e16 away so far that's 3 pound and because you can take a full 16 off that makes it a half so final awnser is 3.5 56-16=40-16=24-16=8=3 pounds and a half hope I have helped you in any way
5 0
3 years ago
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The test statistic of z= -2.39 is obtained when testing the claim that p&lt;0.52.
krek1111 [17]

Considering the situation described, we have that:

a) The critical value is of z = -1.645.

b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.

<h3>What is the critical value?</h3>

We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.

<h3>What is the decision?</h3>

Considering the test statistic, for a left-tailed test, we have that:

  • Less than the critical value: Reject H0.
  • Equal or greater: Do not reject.

In this problem, z = -2.39 is less than -1.645, hence we should reject the null hypothesis H0.

More can be learned about the test of an hypothesis at brainly.com/question/13873630

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6 0
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What is 67593 increased by 10430
photoshop1234 [79]
67593 increased bye 10430 is 78,023
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Snezhnost [94]

Answer:

9 feet down

Step-by-step explanation:

2+7=9

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