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3 years ago

The function y = -3x + 5 is transformed by reflecting it over the y axis. What is the equation of the new function? *

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

x= −1/3 y+5/3

Step-by-step explanation:

Let's solve for x.

y=−3x+5

Step 1: Flip the equation.

−3x+5=y

Step 2: Add -5 to both sides.

−3x+5+−5=y+−5

−3x=y−5

Step 3: Divide both sides by -3.

−3x

−3

y−5

−3

−1

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Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

5 0

4 years ago

Subtract 7x^2+4x-9 from 5x^2+10x-5. Express the result as a trinomial in descending degree order.

victus00 [196]

So it's saying to
(5x^2 + 10x - 5) - (7x^2 + 4x - 9)

Collect the like terms
and regroup

(5x^2 - 7x^2) + (10x - 4x) + ( -5 + 9)

Simplify

-2x^2 + 6x + 4

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Write a function rule for the table. x f(x) (–3, 1) (–2, 2) (–1, 3) (0, 4)

inn [45]

The answer is (1,1) a liner function

7 0

3 years ago

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If the monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be distributed as

Y_Kistochka [10]

Answer:

A) About $195.00

Step-by-step explanation:

In a normal distribution, the interval (mean - 3*standard deviation, mean + 3*standard deviation) account for about 99.7% of the values. In this case mean + 3*standard deviation = $87.00 + 3*$36.00 = $195.00. So, it 's expected that this amount of money would be the largest individual customer bill.

4 0

3 years ago

The perimeter and area of each figure: a. A square with a side length of 3.5 inches.

Anna11 [10]

$3.5 \times 3.5 = 12.25 \: for \: are \\ 3.5 \times 4 = 14 \: for \: perimeter$

5 0

4 years ago