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Angelina_Jolie [31]
3 years ago
10

The figure shows two perpendicular lines s and r, intersecting at point P in the interior of a trapezoid. Line r is parallel to

the bases and bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid.
Which transformation will ALWAYS carry the figure onto itself?
Mathematics
1 answer:
arlik [135]3 years ago
4 0
I’m sorry I’m not sure why you gotta tell
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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon
Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

h(t)=-16t^2+40t+5

we know that

When the ball hits the ground, the height is equal to zero

so

-16t^2+40t+5=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0

is equal to

t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+40t+5=0

so

a=-16\\b=40\\c=5

substitute in the formula

t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}

t=\frac{-40\pm\sqrt{1,920}} {-32}

t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec

t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec

therefore

The solution  is t=2.62 seconds

4 0
2 years ago
-5•3 = 3 • -5<br><br> Name the property that justifies the statement
algol13

Answer:

commutative property of multiplication

Step-by-step explanation:

3 0
3 years ago
How many solutions for x does the following equation have?
Luba_88 [7]
The answer would be D. Infinite
5 0
3 years ago
thomas want to save money for a vacation. Thomas invest $1,300 in account that pays an interest rate of 6.25% how many years wil
Harrizon [31]

Answer:

  44.2 years

Step-by-step explanation:

If we assume the interest is compounded annually and the investment is a one-time deposit into the account, its value each year is multiplied by 1+6.25% = 1.0625. After n years, the value in the account will be ...

  19000 = 1300·1.0625^n

Dividing by 1300 and taking logs, we have ...

  log(19000/1300) = n·log(1.0625)

  log(190/13)/log(1.0625) = n ≈ 44.24 . . . .  years

It will take about 44.2 years for the account to reach $19,000.

5 0
3 years ago
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the sales tax rate for a community is 6.75%. If you purchase an item for $500, how much will you pay in sales tax?
Anarel [89]
You will pay $533.75 total. $<span>33.75 being the sales tax</span>
6 0
3 years ago
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