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3 years ago

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WILL GIVE BRAINLIEST: Show that ABCD is a rhombus if A(0, –2), B(10, 3), C(21, 5), and D(11, 0). Find the slope m1 of AC and the

slope m2 of BD and verify that m1m2 = –1.

1 answer:

Olegator [25]3 years ago

4 0

Answer:

Answers in the pics

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)

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Jon and Andy had a total of 560 trading cards. After Jon gave 1/9 of his trading cards to Andy, they has an equal number of trad

Romashka [77]

Answer:

70 cards

Step-by-step explanation:

Let A = the number of Andys cards

J = the number of Jons cards

Jon and Andy had a total of 560 trading cards

A+J = 560

After Jon gave 1/9 of his trading cards to Andy, they has an equal number of trading cards

J - 1/9 J = 1/9 J +A

Combine like terms

8/9 J = 1/9 J +A

Subtract 1/9J from each side

7/9J = A

Substitute this into A +J = 560

7/9J +J = 560

Combine like terms

7/9J +9/9J = 560

16/9 J = 560

Multiply each side by 9/16

9/16 *16/9 J = 560 *9/16

J =315

Jon originally had 315 cards

Now we need to find Andys cards

7/9J = A

7/9 (315) =A

245=A

How many more trading cards did Jon have that Andy in the beginning?

We need to take Jons cards and subtract Andys cards

J-A

315-245

70

6 0

3 years ago

Solve the equatuon<br><br> x/2-(2/(x+1))=1<br><br> x=?

Snezhnost [94]

$\frac{x}{2}-\frac{2}{x+1}=1$

We have 2 denominators that we need to get rid of. Whenever there are the denominators, all we have to do is multiply all whole equation with the denominators.

Our denominators are both 2 and x+1. Therefore, we multiply the whole equation by 2(x+1)

$\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)]$

Then shorten the fractions.

$\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)]\\x(x+1)-2(2)=1(2x+2)$

Distribute in all.

$x^2+x-4=2x+2$

We should get like this. Because the polynomial is 2-degree, I'd suggest you to move all terms to one place. Therefore, moving 2x+2 to another side and subtract.

$x^2+x-4-2x-2=0\\x^2-x-6=0\\$

We are almost there. All we have to do is, solving for x by factoring. (Although there are more than just factoring but factoring this polynomial is faster.)

$(x-3)(x+2)=0\\x=3,-2$

Thus, the answer is x = 3, -2

7 0

2 years ago

4x+6< or equal to 52

shutvik [7]

The answer to the question

7 0

2 years ago

How can you solve 25% of 44 both mentally and with pencil and paper?

STALIN [3.7K]

Answer:

<u>Solving it mentally</u> :-

It says 25% × 44. When we have a percent, change it to decimal and solve which would be easy to do it mentally.

25% = 0.25

0.25 × 44 = 11 *Answer is bolded.*

<u>Solving it on paper</u> :-

I have attached a picture of me doing it on paper.

Hope this helps, thank you :) !!

3 0

2 years ago

Factor out the coefficient of the variable 1/3b-1/3

Darya [45]

The variable is b, the coefinet is 1/3

remember
ab-ac=a(b-c)
1/3b-1/3=1/3(b-1)
there, factored

8 0

3 years ago