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1 year ago

8

The function f(x) = x2 is transformed to obtain the graph of the related function g(x) using a vertical stretch by a factor of 3

.

1 answer:

timofeeve [1]1 year ago

3 0

Answer:

$y = \frac{1}{3} x^2$

Step-by-step explanation:

Vertical stretch = widens graph

Factor = multiply by $\frac{1}{3}$

FINAL RESULT: $y = \frac{1}{3} x^2$

Hope this helps!

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clearance items in a store are all marked down proportionally. A shirt with an original price of $32 is on clearance of $12. wha

WINSTONCH [101]

Answer:

$15

Step-by-step explanation:

Set up a proportion where x is the clearance price of the $40 shirt:

$\frac{32}{12}$ = $\frac{40}{x}$

Cross multiply and solve for x:

32x = 480

x = 15

So, the clearance price is $15

8 0

2 years ago

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The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan

kiruha [24]

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points $(x_1, y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Length of PQ = $\sqrt{(1-1)^2+(2-6)^2}$

PQ = 4

Length of PR = $\sqrt{(1+4)^2+(2-2)^2}$

PR = 5

Length of QR = $\sqrt{(1+4)^2+(6-2)^2}$

QR = $\sqrt{25+16}$

= $\sqrt{41}$

= 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

= 4 + 6.4 + 5

= 15.4 yards

4 0

3 years ago

Find the area of the triangle with a= 18.8, b= 11.6, c= 13.8. Round to the nearest tenth.

Anika [276]

Answer:

not rounded is 44.2, rouned to the nearest tenth is 40

Step-by-step explanation:

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2 years ago

(MARKING BRAINLIEST) Kareem cannot decide which of two washing machines to buy. The selling price of each is $390. The first is

Tems11 [23]

Answer:

See explanation

Step-by-step explanation:

The selling price is $495.

The first washing machine:

- is marked down by 30%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

The second washing machine:

- is marked down by 20% with an additional 10% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Thus, the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

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2 years ago

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Find the length of line segmentAB which joins the following points.A(10, 14) and B(2,6)

Helen [10]

Answer:

The equation of the line AB is y - x -4 = 0

Step-by-step explanation:

The points are A (10,14) and B(2,6)

Now, slope of the line AB : $m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{14 -6 }{10 - 2}$ = $\frac{8}{8} = 1$

So, slope of the equation AB = 1

Now, by SLOPE INTERCEPT FORM:

The equation of line is given as : y - y0 = m (x-x0)

So,the equation of line AB is y - 6 = 1(x-2)

or, y - 6 -x + 2 = 0

or, y - x -4 = 0

Hence, the equation of the line AB is y - x -4 = 0

5 0

2 years ago