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2 years ago

What is the slope of the line represented by the equation y = -1/2x+1/4?

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

7 0

Answer:

-1/2

negative

Step-by-step explanation:

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10(x – 9) > -270 How do I do this ?

Ilia_Sergeevich [38]

Answer:

x > -18

Step-by-step explanation:

10 ( x - 9 ) > -270

Treat the inequality like an equation,

Distribute first:

10 ( x - 9 ) > - 270

10x - 90 > -270

Inverse operations:

10x - 90 > -270

+90 +90

10x > -180

/10 /10

x > -18

4 0

2 years ago

7(3x/1)=-1 its distributive property but I don't know how to solve it

Lelu [443]

7(3x/1)=-1
7(3x)=-1
21x=-1
21x/21=-1/21
X=-1/21

Answer: -1/21

7 0

3 years ago

The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

4 0

2 years ago

Is (1, 2) a solution to the equation y = 8x?

Rom4ik [11]

Answer:

no it is not

Step-by-step explanation:

8 × 1 does not equal 2

4 0

3 years ago

Sally had $250 in her savings account. She deposited x dollars in her account.Write an expression that shows her new balance in

melamori03 [73]

$250 + x. =

$250 + x. =. $500

5 0

3 years ago