MATHEMATICS MIDDLE SCHOOL

Consider a rectangle with vertices A (4, 7), B (6, 7), C (4, -1), and D (6, -1). What is the length of side CD? What is the length of side BD?

Answers

Answer 1

Answer:

Answer:

$CD=2\n\nBD=8$

Step-by-step explanation:

$A (4, 7)$ , $B (6, 7)$ , $C (4, -1)$ , and $D (6, -1)$

Using Distance formula:

CD:

$√((6-4)^2+(-1-(-1))^2) \n\n=√((6-4)^2+(-1+1)^2) \n\n=√(2^2+0)\n\n=√(4)\n\n =2$

BD:

$√((6-6)^2+(-1-7)^2) \n\n=√(0+(-8)^2)\n\n=√(64) \n\n=8$

$CD=2\n\nBD=8$

Answer 2

Answer: Same way can find BD length

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Canned beans are on sale at a price of 5 cans for $3,which means each can will cost _
3
5 of a dollar. Your club needs 35 cans of
beans for a large chili dinner. How much will the beans cost? Show your work.

Answers

You would have to divided 35 by 5 and get 7. than you would multiply 7 by 3 an get 21. So you would have to pay $21. Hope this helped :)

3-5(x+4)=8(2x-3) how to solve this equation

Answers

Answer:3

Step-by-step explanation:

Final answer:

The solution to the equation 3-5(x+4)=8(2x-3) is x = 1/3. The solving process involves distributing, collecting similar terms, isolating variables, and finally simplifying.

Explanation:

To solve the equation 3-5(x+4)=8(2x-3), we need to follow a few steps:

Start by simplifying both sides of the equation. This step would involve the use of the distributive property.
Distribute 5 into the parenthesis on the left side to get 3 -5x -20. In the same way, distribute 8 into the parenthesis on the right side to get 16x -24.
The simplified equation would then be: -5x -17 = 16x -24.
Next, get all the x terms on one side (by adding 5x to both sides) and the constants on the other side (by adding 24 to both sides). This gives us 21x = 7.
Finally, to isolate x, divide both sides by 21 to get x = 7/21, which simplifies to x = 1/3.

Learn more about Solving equations here:

brainly.com/question/18322830

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Mr.Smith's art class has a total of 35 students enrolled. Seven of the thirty five are girls. What percent of the class is made up of boys?

Answers

✡ Answer: 80% ✡

- - Why?

Well if there is 35 kids in the class and 7 of them are girls, you can subtract 35-7 to get the reaming total of kids, in this case, the boys.

Now we have a fraction of 28/35
28*35.
Lets convert it to a percent:

- - We have
Divide
28 ÷ 35 = 0.8

Always multiply by 100

0.8*100

- - Solve:

80%

✡Hope this helps✡

i agree with her.
80%

12 = -4(-6x - 3)
Helllppppppppppppppp

Answers

Answer:

x = ZERO

Step-by-step explanation:

In the picture above.

If you want to check, just substitute the value of x in the equation .

A science class measured the mass of a balloon to be 4 grams.After the balloon was inflated the mass was 8 grams.What was the mass of the air inside the inflated balloon?