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2 years ago

(5,1); m=2 write an equation of the line

1 answer:

3 0

Hey there! :)

To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.

Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept

Since we're already given the slope, all we really need to do is find the y-intercept.

We can do this by plugging our known values into the slope-intercept equation.

y = mx + b

Since we're trying to find "b," we need to plug in "y, m, x" into our formula.

(1) = (2)(5) + b

Simplify.

1 = 10 + b

Subtract 10 from both sides.

1 - 10 = b

Simplify.

-9 = b

So, our y-intercept is 9!

Now, we can very simply plug our known values into slope-intercept form.

y = mx + b

y = 2x - 9 → final answer

~Hope I helped!~

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Express the series using sigma notation. 4 + 16 + 64 + 256 + 1,024

Hatshy [7]

Answer:

EASSYYY

Step-by-step explanation:

1364

3 0

2 years ago

Read 2 more answers

Solve the system by the elimination method. -2x + y + 6 = 0 2x + y - 8 = 0 When you eliminate x, what is the resulting equation?

Natali5045456 [20]

For this case we have the following system of two equations with two unknowns:

$-2x + y + 6 = 0\\2x + y-8 = 0$

Adding both equations we have to eliminate the variable "x":

$y + y + 6-8 = 0$

Adding common terms, keeping in mind that different signs are subtracted and the sign of the major is placed:

$2y-2 = 0\\2y = 2$

Answer:

$2y = 2$

Option A

5 0

2 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

How would u do this and can u explain

Amanda [17]

M=2-(-6)/(-1)-(-2)=8
Y=8x+b
-6=8*(-2)+b
-6=-16+b
B=16-6=10
Y=8x+10

I hope my answer is help to you

4 0

2 years ago

Ifteen bales of hale were loaded into a truck. Some of the bales weight 150 pounds, and some weighed 100 punds. Hpw many bales o

horrorfan [7]

Answer:

There are 7 bales of 100 pounds and 8 bales of 150 pounds hale

Step-by-step explanation:

Let the amount of bale of 100 pounds be x and the bale of hale of 150pounds be y

If fifteen bales of hale were loaded into a truck, then x+y = 15 ... 1

Also if some of the bales weight 150 pounds, and some weighed 100 pounds with total weight of pounds to be 1900 pounds, then mathematically;

150y + 100x = 1900

Dividing through by 100;

1.5y+x = 19 ..... 2

Solving equation 1 and 2 simultaneously;

x+y = 15 ... 1

1.5y+x = 19 .... 2

Subtracting 1 from 2

y-1.5y = 15-19

-0.5y = -4

Divide both sides by 0.5

-0.5y/-0.5 = -4/-0.5

y = 8

Substituting y = 8 into equation 1, we will have;

x+y = 15

x+8 = 15

x = 15-8

x = 7

Hence there are 7 bales of 100 pounds and 8 bales of 150 pounds hale

6 0

3 years ago