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Helen [10]
3 years ago
8

For each graph find (a) AB to the nearest tenth and (b) the coordinates of the midpoint of line AB

Mathematics
1 answer:
Lorico [155]3 years ago
3 0

In each graph, they give you a line.

For part A, they want you to use the <u>Distance Formula</u> which is:

\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}}

(x2 is supposed to be x sub 2, but I can't put subheadings in the equation tool)

x1, x2, y1, and y2 are the coordinates of the endpoints of the segment.


For part B, they want you to use the <u>Midpoint Formula</u>, which is:

(\frac{x1 + x2}{2}, \frac{y1 + y2}{2})

The coordinate pair you get from the Midpoint Formula is your midpoint.


Hope this helps! :)

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(x+1)^2=7x+15 \iff x^2+2x+1=7x+15 \iff x^2-5x-14 = 0

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.

Similarly, we have

x-3 = \sqrt{x-1}+4 \iff x-7=\sqrt{x-1}

So, we have to impose

x-7\geq 0 \iff x \geq 7

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(x-7)^2=x-1 \iff x^2-14x+49=x-1 \iff x^2-15x+50 = 0

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.

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Your teacher asks all 30 students in your class their favorite color and tallies the results. Which graph would best
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Damon buys lumber worth $562. He gets a 20% contractors discount. The sales tax is 6%. His credit card gives him 2% off. How muc
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Answer:

$467.05

Step-by-step explanation:

By getting a discount of 20%, it means he pays 100-20=80% of the initial price

80% is same as 0.8

Price after discount will be

0.8*$562=$449.6

Taxation is then subjected to the discounted price. With tax rate of 6% which is equivalent to 0.06 then the total prive incurres will be 106% of the discounted price, same as 1.06

Final price inclusive of tax

1.06*$449.6=$476.576

Since his credit gives 2% discount of everytging then he only pays 98% of the price inclusive of tax

Payable amount

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Answer:

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Step-by-step explanation:

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Substitute the measures of the diagonal given.

35 * 12 * 0.5 = 210

The area is 210 m²

I hope this helps! Feel free to ask any questions!

Why is (D₁ + D₂)/2 incorrect?

This is a really helpful link:

http://mathandmultimedia.com/2015/03/04/why-the-area-of-a-rhombus-half-the-product-of-its-diagonals/

https://byjus.com/maths/area-of-rhombus/

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luda_lava [24]

Answer: 0.88888889

Step-by-step explanation:

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