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alina1380 [7]
3 years ago
8

Eliminate the parameter. x = t2 + 2, y = t2 - 4

Mathematics
2 answers:
stepan [7]3 years ago
8 0
\bf \begin{cases}
x=t^2+2\implies x-2=t^2\implies \sqrt{x-2}=\boxed{t}\\\\
y=t^2-4\\
----------\\
y=\left( \boxed{\sqrt{x-2}} \right)^2-4\implies y=x-2-4\\\\
y=x-6
\end{cases}

just a plain vanilla substitution

ElenaW [278]3 years ago
5 0

y = x-6 hope this helps

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Given: m arc IV =140°, m arc VK =30°, m∠ISV=135° Find: m∠VPL
Blizzard [7]

Answer:

m

Step-by-step explanation:

step 1

Find the measure of arc PK

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

Let

x------> the measure of arc IV

y ------> the measure of arc PK

m

substitute the values and solve for y

135\°=\frac{1}{2}(140\°+y)

270\°=(140\°+y)

y=270\°-140\°=130\°

The measure of arc PK is 130\°

step 2

Find the measure of angle VPL

we know that

The inscribed angle measures half that of the arc comprising

Let

z------> the measure of arc VK

y ------> the measure of arc PK

m

substitute the values

m

5 0
3 years ago
Solve for AB. Round your answer to the nearest tenth if necessary.
NeTakaya

Answer:

See Below

Step-by-step explanation:

You want to find AB.

They give the equation for AB, BC, and AC

AC - BC = AB

substitute the equations

(30) - (8x + 3) = 6x + 8

30 - 8x - 3 = 6x + 8

27 - 8x = 6x + 8

     +8x  +8x

27 = 14x + 8

-8            -8

19 = 14x

19/14 = 14x/14

1.3571428 = x

0.1 = tenth

1.4 = x

Substitute x into the equation for AB

6(1.4) + 8

16.4

6 0
3 years ago
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Estimate by rounding the first factor to the nearest thousand. 1,912 x 8
Vika [28.1K]

Answer:

15,000

Step-by-step explanation:

1912* 8 =15,296

To the nearest thousand = 15,000

5 0
3 years ago
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Please help ASAP. Please include steps to answer the question, thank you!
ziro4ka [17]

Answer:

i have no idea but thx 4 the points

Step-by-step explanation:

3 0
2 years ago
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Dylan borrowed $2100 from the bank for 15 months. The bank discounted the loan at 2.6%. How much was the interest? $ State your
melomori [17]

Answer:

actual rate of interest is 2.08 %

Step-by-step explanation:

Given data

borrowed = $2100

time = 15 months

rate = 2.6%

to find out

interest and receive from the bank and actual rate of interest

solution

we know bank discounted the loan at 2.6%

so interest will be 2.6% of $2100

that is  = 2.6/100 × 2100

interest = $54.60

so receive from the bank  is  borrowed money - interest

receive = 2100 - 54.60

receive from the bank is $2045.40

and we can say that interest is directly proportional to time

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here  interest of 12 months = 12/15 ×  interest of 15 month

interest of 12 months = 12/15 × 54.60

interest of 12 months is $43.68 (annually)

now we can calculate actual rate of interest

that is = interest / borrowed money × 100

actual rate of interest = 43.68/2100 × 100

actual rate of interest is 2.08 %

6 0
2 years ago
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