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lakkis [162]
3 years ago
5

True or false: f(x) is a function. A 2 f(x)

Mathematics
1 answer:
Anni [7]3 years ago
3 0

True, f(x) is a function.

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The perimeter of a square is 56 cm. What is the approximate length of its diagonal? A.10.6 cm
sweet-ann [11.9K]
A. 10.6
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3 0
3 years ago
Read 2 more answers
Write the standard form of an equation of an ellipse subject to the given conditions.
irina [24]

Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²

Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

Using c² = a² - b²:

5² = a² - 37²

a² = 37² + 5² = 1369 + 25

a² = 1394

Therefore the equation of the ellipse is:

\frac{x^2}{1369}+ \frac{y^2}{1394} =1

6 0
2 years ago
Evaluate 2(s+t)^3-6when s = 3 and t = 2
Komok [63]

Answer:

994

Step-by-step explanation:

2(s+t)= 10

10^3= 1.000

1.000-6= 994

3 0
3 years ago
-3x + 7y = -16<br> -9x + 5y = 16
otez555 [7]

Answer:

x = -4 y =-4

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

7 0
3 years ago
Place the indicated product in the proper location on the grid.
marishachu [46]

Answer:

See explanation

Step-by-step explanation:

1.

(a+b)(a^2-ab+b^2)=a^3-a^2b+ab^2+a^2b-ab^2+b^3=a^3+b^3

2.

(1-7x)(1+9x)=1+9x-7x-63x^2=-63x^2+2x+1

3.

(x+y+3)(x+y-4)=x^2+xy-4x+xy+y^2-4y+3x+3y-12=x^2+2xy+y^2-x-y-12

4.

(a-b)(a^2+ab+b^2)=a^3+a^2b+ab^2-a^2b-ab^2-b^3=a^3-b^3

5.

(m^3n+8)(m^3n-5)=(m^3n)^2-5m^3n+8m^3n-40=m^6n^2+3m^3n-40

6.

(4-(3c-1))(6-(3c-1))=(4-3c+1)(6-3c+1)=(5-3c)(7-3c)=35-15c-21c+9c^2=9c^2-36c+35

7.

(ab-9)(ab+8)=(ab)^2+8ab-9ab-72=a^2b^2-ab-72

8.

(a+b-c)(a+b+c)=a^2+ab+ac+ab+b^2+bc-ac-bc-c^2=a^2+b^2-c^2+2ab

9.

(a+3)(a-2)=a^2-2a+3a-6=a^2+a-6

10.

(3m^3-y)(3m^3-y)=(3m^3)^2-3m^3y-3m^3y+y^2=9m^6-6m^3y+y^2

11.

(2x-3y)(4x-y)=8x^2-2xy-12xy+3y^2=8x^2-14xy+3y^2

12.

(x^2+2x-1)(x^2+2x+5)=x^4+2x^3+5x^2+2x^3+4x^2+10x-x^2-2x-5=x^4+4x^3+8x^2+8x-5

13.

(4x-3y+5)(x+2y-3)=4x^2+8xy-12x-3xy-6y^2+9y+5x+10y-15=4x^2+5xy-6y^2-7x+19y-15

8 0
3 years ago
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