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seraphim [82]
3 years ago
5

Are the two expressions equivalent when x = 5? 24x + 18 and 6 (4x + 2)

Mathematics
1 answer:
patriot [66]3 years ago
3 0

Answer:

Nope-

Step-by-step explanation:

24x + 18 = 138

6 (4x + 2) = 132

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Show that the equation represents a circle and find its center and radius.<br> x2 + y2 +6y + 2 = 0
Dafna11 [192]

Answer:

Step-by-step explanation:

The general equation of a circle can be expressed as (x-a)²+(y-b)² = r² where (a,b) is the centre of the circle and r is the radius.

To show that the equation x² + y² +6y + 2 = 0 represents a circle, we need to write it in the format above using the completing the square method.

Given x² + (y² +6y) + 2 = 0

First we need to complete the square of the square in parenthesis by adding the square of half of the coefficient of y i.e (\frac{1}{2}*6) ^2 to the equation and adding the constant to the other side of the equation as well.

x² + (y² +6y) + 2 = 0

x^2+(y^2+6y+(\frac{1}{2}*6) ^2)+2 = 0+(\frac{1}{2}*6) ^2\\x^2+(y^2+6y+(3) ^2)+2 = 0+3 ^2\\x^2+(y^2+6y+9)+2 = 0+9\\x^2+(y+3)^2+2 = 9\\x^2+(y+3)^2+2-2 = 9-2\\x^2+(y+3)^2 = 7\\(x-0)^2+(y+3)^2 = 7\\

<em>Hence the equation represents a circle with centre C at (0, -3) and radius of √7</em>

7 0
3 years ago
THE RIGHT ANSWER WILL RECIEVE A BRAINLEST AND POINTS AND THANXS!!!
ExtremeBDS [4]
Sorry for the poor graph. The solution to the inequality is
x \leqslant - 5

4 0
3 years ago
If f(x)=2x-7, then find f(8)​
Artyom0805 [142]

It should be 9. I hope this helps. If it's not 9 then can u please give me a list of your answers to choose from.

5 0
3 years ago
How many square feet of outdoor carpet will we need for this hole
Fed [463]

Answer:

40 ft²

Step-by-step explanation:

The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle

✔️Area of triangle 1:

Area = ½*bh

b = 6 - 3 = 3 ft

h = 11 - 7 = 4 ft

Area of triangle 1 = ½*3*4 = 6 ft²

✔️Area of triangle 2:

Area = ½*by

b = 2 ft

h = 3 ft

Area of triangle 2 = ½*2*3 = 3 ft

✔️Area of rectangle = L × W

L = 11 ft

W = 3 ft

Area of rectangle = 11 × 3 = 33 ft

✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²

4 0
3 years ago
Please help me find the value of x with all the work
iVinArrow [24]

Answer:

x = 21

Step-by-step explanation:

the angles 5x - 35 and 3x + 7 are vertical angles and congruent, thus

5x - 35 = 3x + 7 ( subtract 3x from both sides )

2x - 35 = 7 ( add 35 to both sides )

2x = 42 ( divide both sides by 2 )

x = 21

4 0
3 years ago
Read 2 more answers
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