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Evgen [1.6K]
3 years ago
8

In rectangle ABCD, AC = -x + 21, BP = -9x + 19, and DP = -y + 5. Find the value of y.

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

y=-5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other

so

BP=\frac{1}{2}AC

DP=BP

step 1

Find the value of x

BP=\frac{1}{2}AC

substitute the given values

(-9x+19)=\frac{1}{2} (-x+21)

solve for x

Multiply by 2 both sides

-18x+38=-x+21

18x-x=38-21\\17x=17\\x=1

step 2

Find the value of y

DP=BP

we have

BP=-9x+19

DP=-y+5

substitute

-y+5=-9x+19

substitute the value of x

-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5

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Answer:

165 is greater than or equal to 17.75x+5.25; 9 is greater than or equal to x

Step-by-step explanation:

The problem states that they have no more than $165. This means that they either use all the money, or they have leftover money, which means you need to use the 'greater than or equal to' sign. It says that tickets are $17.75 a person, and we're trying to find the number of people (x). You can write this as 17.75x. There is also a parking fee to add on to the equation, which is represented as +5.25. Now, we can solve!

I'm going to use an equal sign to replace the inequality symbol, but make sure to add the symbol at the end of the problem.

165=17.75x+5.25

159.75=17.75x

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Our final answer is 9 is greater than or equal to x. Hope this helps!

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Y=x^2 -9x at x = 4 Find an equation of the tangent an an equation of the normal
Montano1993 [528]

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When <em>x</em> = 4, the function takes on a value of

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and the derivative is

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Then use the point-slope formula to get the equation of the tangent line:

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Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each bea
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Step-by-step explanation:

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