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yulyashka [42]
3 years ago
12

Carly draws quadrilateral JKLM with vertices J(-3,3), K(3,3), L(2,-1),and M(-2, -1). What is the best way to classify the quadri

lateral?​

Mathematics
1 answer:
Trava [24]3 years ago
6 0

Answer:

Trapezoid

Step-by-step explanation:

The points are shown in the attached graph.

<em>You can clearly see from the picture that it is a "Trapezoid".</em>

<em />

<em>Trapezoid</em><em> is basically a quadrilateral (4 sided-figure) that has 1/2 pair of parallel sides.</em>

<em>On the other hand, a </em><em>parallelogram</em><em> has 2 pair of parallel sides.</em>

<em />

Thus, a parallelogram is a special type of trapezoid where there are 2 pair of parallel sides. But trapezoid need not be a parallelogram.

<em>The picture shows 1 pair of parallel sides, hence it is a </em><em>trapezoid.</em>

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What are the x- and y-intercepts of the graph of 5x-4y= -20
lakkis [162]

To find the intercepts, we can set the opposite variable equal to 0 and solve.

Let's find the x intercept first.

5x - 4(0) = -20

5x = -20

Divide both sides by 5.

x = -4

<h3>The x intercept is -4.</h3>

Now let's find the y intercept.

5(0) - 4y = -20

-4y = -20

Divide both sides by -4.

y = 5

<h3>The y intercept is 5.</h3>
7 0
2 years ago
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Rewrite 2(5n+3) using Distributive Property of Equality
ASHA 777 [7]

Answer: 10n+6

Step-by-step explanation:

3 0
2 years ago
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Please help as soon as possible <br>it's due tomorrow ​
erma4kov [3.2K]

Answer:

378 cm^3

Step-by-step explanation:

V = Bh = l * w * h

since the Base B is 54 (l*w), multiply by 7 to find volume

54 * 7 = 378

7 0
3 years ago
While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price
shepuryov [24]

Answer:

$4.34

Step-by-step explanation:

Given the information:

  • The original price: $5
  • Discount : 20%
  • Tax: 8.5%

We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:

= the original price (100% - discount rate)

= 5(100% -20%)

= $4

  • The tax amount she need to pay is:

= The actual price*tax rate

= $4*8.5%

= $0.34

=> the total cost of the bunch of balloons :

The actual price + tax price

= $4 + $0.34

= $4.34

Hope it will find you well.

4 0
2 years ago
If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Lelechka [254]

Answer:

\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)

So we can say that

a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab

and we can notice that

a^2+b^2=(a+b)^2-2ab so

(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab

it comes

x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}

multiply by 3

3x^2-20x+2*16+5=3x^2-20x+37

4 0
3 years ago
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