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DiKsa [7]
3 years ago
5

Help me please with numbers 8-11 I'm stuck!!

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0
8. 90° When a perpendicular line is drawn, the measure of both of the angles equal 90°.
9. Just draw two parallel lines, name them x and y. Then, draw a line through both of them and name it k.
10. Draw two parallel lines and draw a perpendicular line going through both r and s. All the angles will measure 90°.
11. Set it up like #9. and make the alternate interior angles congruent.
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A taxi charges a base fee plus $0.75/km.
Naily [24]

a) The rate of change in this situation is 0.75 dollars/km

b) The equation for the cost of hiring a taxi in terms of length of the

trip is y = 0.75 x + b

c) The initial value represents in this situation is $1.2

Step-by-step explanation:

The given is:

  • A taxi charges a base fee plus $0.75/km.
  • A 10-km trip costs $8.70

∵ A rate of change is a rate that describes how one quantity

  changes in relation to another quantity

∵ The unit cost of a taxi is 0.75 dollars for each 1 kilometer

∴ The rate of change = 0.75 dollars/km

a) The rate of change in this situation is 0.75 dollars/km

Assume that the cost of hiring a taxi is $y for length of a trip x km

and a base fee of $b

∵ The length of the trip = x km

∵ The cost per km = $0.75

∵ The base fee = $b

∵ The cost of hiring a taxi = $y

- Write an equation for the the cost of hiring a taxi

∴ y = 0.75 x + b

b) The equation for the cost of hiring a taxi in terms of length

of the trip is y = 0.75 x + b

∵ The length of the trip is 10 km

∴ x = 10

∵ The cost of the hiring a taxi is $8.70

∴ y = 8.70

- Substitute these values in the equation of part (b)

∵ y = 0.75 x + b

∴ 8.70 = 0.75(10) + b

∴ 8.70 = 7.5 + b

- Subtract 7.5 from both sides

∴ 1.2 = b

∵ b is the base fee

∴ b is the initial value

∴ The initial value = $1.2

c) The initial value represents in this situation is $1.2

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

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3 years ago
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icang [17]
1. The Formula to getting the area of a circle is pi r^2= 3.14 times the radius squared. Plug in the number given in the question to get your answer.
2. The Circumference formula is 2pir which is 2 time 3.14 times the radius given. Plug in the number to get your answer.
3. This one is giving you the diameter, therefore you need to divide the diameter by 2 to get the radius (diameter is twice the size of radius) and plug in the radius into the first formula (3.14 times r^2) to get your answer.
8 0
3 years ago
Given that ∫51f(x)dx=1,∫53 f(x)dx=3 and ∫61f(x)dx=9 find ∫63 f(x)dx.
ELEN [110]
\displaystyle\int_1^6=\int_1^5+\int_5^6\implies\int_5^6=9-1=8

\displaystyle\int_3^6=\int_3^5+\int_5^6=3+8=11
6 0
3 years ago
How many F's can I get in order to still pass 7th grade??? What's the maximum??
guapka [62]
:D i hav th same question cuz i hav lik 3 E's
probably one failing grade each quarter or marking period w.e ur school calls it
ik in my school i cn get honor role even tho i hav one C soooo ^thts wat im thinkin
6 0
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Nick paid 2.94 in sales tax on an item that cost $42.00 at the rate how much he pay in sales tax on an item that cost $58.00 bef
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$2.93/$42= about 7% tax
$58*7%= $<span>4.06 in tax</span>
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