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3 years ago

What is the Product of x-3 and x-9

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

x^2-12x+27

Step-by-step explanation:

(x-3)(x-9)=x^2-3x-9x+27=x^2-12x+27

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The edges of the diameter of a circle are at (-1,2) and (3,-1). Write the equation of the circle in general form.

Y_Kistochka [10]

Answer:

(x-1)²+ (y-0.5)²=6.25

Step-by-step explanation:

The standard form of equation of a circle is;

(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius

Finding the mid-point of the given points

(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)

midpoint= {1/2(-1+3), 1/2(2+-1)}

midpoint=(1,0.5)

Finding the radius r; the distance from the center to either of the given two points

Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²

Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then

d=√ (-1-1)² +(2-0.5)²

d= √ (-2)²+(1.5)²

d=√4+2.25⇒√6.25⇒2.5

r=2.5

Equation of the circle

(x-1)² + (y-0.5)²=2.5²

(x-1)²+ (y-0.5)²=6.25

3 0

3 years ago

Carol bought 24 stamps for $6, and Charles paid $13 for 52 stamps. If the amount paid for the stamps is proportional to the numb

Vera_Pavlovna [14]

Answer:

Yes

Step-by-step explanation:

$24 divided by 6 equals 4

$52 divided by 13 equals 4

4 0

2 years ago

Read 2 more answers

In a circle with a diameter of 25.2 ft, an arc is intercepted by a central angle of 168º.

Rina8888 [55]

Answer:

$36.93\ ft$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=\pi D$

we have

$D=25.2\ ft$

substitute

$C=25.2\pi\ ft$

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

using proportion

Find out the arc length by a central angle of 168 degrees

$\frac{25.2\pi}{360}=\frac{x}{168}\\\\x=25.2\pi*168/360\\\\x=(25.2*3.14)*168/360\\\\x=36.93\ ft$

3 0

3 years ago

Compare the value of 495,123 and 63,129

Vesnalui [34]

63,219 is overall the lower value, but has the greater hundreds and ones place.

Hope this helps!

8 0

3 years ago

A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to r

aleksandrvk [35]

Answer:

The distance between X and Y is 68m

Step-by-step explanation:

Consider the diagram attached:

A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.

We have to find distance XY.

Let the distance XY be x

Total distance covered by the person = XY + YZ

We know that total distance covered is 100m, so

100m = x + YZ

YZ = (100 - x)m

See the diagram, XZY forms a right angled triangle such that:

Hypotenuse = XY = x

Base = XZ = 60m

Perpendicular = YZ = (100-x)m

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = (60)² + (100-x)²

Solve the equation for x, we get:

x = 68m

6 0

3 years ago

What is the Product of x-3 and x-9​

What is the Product of x-3 and x-9