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Novosadov [1.4K]
3 years ago
14

What does it mean when it says equivalent form of the equation?

Mathematics
2 answers:
Strike441 [17]3 years ago
8 0
Equivalent means equal to
sergij07 [2.7K]3 years ago
6 0
Equivalent means equal
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Find the area of the curve y= f(x) = x between x = 5 and x = 10
Tems11 [23]

Answer:

the area of the curve y= f(x) = x between x = 5 and x = 10

A=\frac{75}{2}

Step-by-step explanation:

  • Finding the area of the curve  y = f(x) = x between x = 5 and x = 10

Using the Area formula

A=\int _a^b\:f\left(x\right)dx

As the area of curve lies between x = 5 and x = 10

so

  • a = 5, b = 10

so the integral expression becomes

A=\int _5^{10}xdx

\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1

A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5

    =\left[\frac{x^2}{2}\right]^{10}_5

     =\frac{1}{2}\left[10^2-5^2\right]

     =\frac{1}{2}\cdot \:75

     =\frac{75}{2}

Therefore, area of the curve y= f(x) = x between x = 5 and x = 10

A=\frac{75}{2}

4 0
3 years ago
Find the value of x. Round the length to the nearest tenth.
STALIN [3.7K]

Answer:

x = 5.13 yards to the nearest tenth

Step-by-step explanation:

The diagram is redrawn and labelled in the attached photo.

It is labelled as triangle ABC. Angle A is determined to be 25 degrees. This is because it is alternate to 25 degrees at the top.

To find x, we will apply trigonometric ratio

Tan # =opposite side / adjacent side

Where # = 25 degrees

Opposite side = x

Adjacent side = 11

Tan 25 = x/11

x = 11tan25

x = 11× 0.4663

x = 5.1293 yards

x = 5.13 yards to the nearest tenth.

3 0
3 years ago
Adelia had 4 dollars. She found 50 cents then bought a snack. She ended up with 6 quarters.
vaieri [72.5K]

Answer: Adelia brought a snack that costed 3 dollars.


Step-by-step explanation:

4 quarters in each dollar

(4dollars*4quarters)

$4.00=16 quarters

(she found 2 more quarters)

16+2=18

0.25*18= $4.50

She brought a snack that left her with 6 quarters ($1.50)

$4.50-$1.50=$3.00

Adelia brought a snack for $3.00

8 0
3 years ago
What’s is the image of point 2,5 under the translation that shifts (x,y) to (x+3,y-2)
harkovskaia [24]

Answer:

(5,3)

Step-by-step explanation:

I know its worded weird, but they are just asking you to translate the point 2,5.

They say image because the  point 2,5 is the pre-image and after the translation, it is called the image.

4 0
3 years ago
If f(x) = -5x + 1 and g(x) = x3, what is (gºf)(0)?<br> Enter the correct answer
xenn [34]

Answer:

1

Step-by-step explanation:

To evaluate (g ○ f)(0), substitute x = 0 into f(x) then substitute the value obtained into g(x), that is

f(0) = 5(0) + 1 = 0 + 1 = 1, then

g(1) = 1³ = 1

5 0
3 years ago
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