The radius of a circle is 2 meters. What is the circle's area?
(use 3.14 for π)

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.

  (x +4)² = (2x -1)(2x -1 +9)

  0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)

  0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)

This has solutions x = -4 and x = 2. Only the latter works in this geometry.

  x = 2

Answer:

it looks pretty nice

Step-by-step explanation:

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

Answer:

Center (5,-4) Radius = 1

Step-by-step explanation:

Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.

(x-5)^2+y(-(-4))^2 = 1^2

Hence, center (5, -4) and radius 1.

Answer:

x= 5

the length = 13 meters

the width = 7 meters

Step-by-step explanation:

(2x+3)(x+2)=91

2x²+7x+6=91

2x²+7x-85=0

(2x+17)(x-5) =0

x=-17/2 or x = 5

the length = 2(5)+3= 13 meters

the width = 5+2 = 7 meters

Answer: Hi

Step-by-step explanation:

Cost Price per bottle : $1.10

Selling price per bottle : $2.50

2.50 - 1.10 = 1.40

$1200=1.40B

B=858

The company must sell 858 Soda´s in order to equal it daily cost.

Hope this help. Be safe

Answer:

A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.

Step-by-step explanation:

Answer:

5x - 3

Step-by-step explanation:

Add like terms: (4x + x) + (-6 + 3) = 5x - 3

Answer:

3x-3

Step-by-step explanation:

combine like terms, 4x-x=3x and -6+3=-3

Answer:

The mistakes were on points C and D

Step-by-step explanation:

Point C was graphed on (5,8) when it's supposed to be plotted on (5,7). Point D was on (-3,-4) but was supposed to be on (-4,-3?

Answer:

The mistakes are Point C and D

Answer:

D.

(DNE)

Step-by-step explanation:

when you plug in 1 to the denominator, 1 minus 1 becomes 0. a fraction with 0 as the denominator does not exist.

The limit of the function f(x)=[tex]x^{3}-1[/tex]/x-1 as x approaches 1 is 3.

Limit is the value that a function approaches as the value of variable approaches some value. They are essential to calculas and mathematical analysis and are use to define continuity , derivatives and integrals. It can change value of function at different values of x.

We have been given a function f(x)=[tex]x^{3}-1[/tex]/x-1 and we have to find the limit of function.

F(x)=[tex]x^{3} -1[/tex] /(x-1) [[tex]x^{3} -y^{3} =x^{2} +y^{2} +xy[/tex]]

[tex]\lim_{x \to \0}x^{3}-1/x-1[/tex]

[tex]\lim_{x \to \0} (x-1)(x^{2} +1+x)[/tex]/x-1

[tex]\lim_{x \to \0} x^{2} +x+1[/tex]

change limit by putting x=1-h

[tex]\lim_{h \to \0} (1-h)^{2} +1+1-h[/tex]

Put the value of h=0.

=1+1+1

=3

Hence the limit of the function [tex]x^{3}-1/x-1[/tex] is 3.

Learn more about limits at https://brainly.com/question/27517662

#SPJ2

Answer:

89°

Step-by-step explanation:

By inscribed angle theorem:

[tex]m\angle ZXY =\frac{1}{2} \times 178\degree \\ \\ m\angle ZXY =89\degree [/tex]

Answer:

V≈2.14×106

Step-by-step explanation:

i looked up volume of a cylinder, do the same.

Answer:

the answer is 2

-3x+7=1 x=2

I believe the answers are A. The account earns about 1.03% interest each year. and D. Tatiana's starting balance was $500.

I hope this helps

Answer:

A and E

Step-by-step explanation:

Answer:

r his

Step-by-step explanation:rfrfrefeffrefeferfeferfe

Answer:

It is a number with 6 whole numbers and 2 decimals, Its a Hundred thousand number

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since the side length of the square is (2x+5), and squares have equal sides, then you have to do (2x+5)(2x+5). You would get 4x^2+20x+25. That means the answer is D.

Hope this helped!! :D

Answer:

14/1.8 = x/4

Step-by-step explanation:

Using similar triangles,

height of man/length of man's shadow = height of tree/length of tree's shadow

1.8/4 = x/14

x/14 = 1.8/4

If we cross-multiply, we have

1.8 × 14 = x × 4

dividing both sides by 4 and 1.8,we have

14/4 = x/1.8

x/1.8 = 14/4

So, the two expressions we have are

x/14 = 1.8/4 and x/1.8 = 14/4.

So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.

Answer:

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Trust me. The two triangles are equivalent, so 90+55=145

180-145=35

Answer:

20 use Pythagorean theorem

Step-by-step explanation:

Answer:

I would go with letter B. -7

Step-by-step explanation:

The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:

y² + 15y + 56 = (y + 7)(y + a)

y² + 15y + 56 = y² + (7 + a)y + 7a

...............................................................................................................................................

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

Step by step solution :

STEP  1 :

Trying to factor by splitting the middle term

1.1     Factoring  y2+14y+49  

The first term is,  y2  its coefficient is  1 .

The middle term is,  +14y  its coefficient is  14 .

The last term, "the constant", is  +49  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 49 = 49  

Step-2 : Find two factors of  49  whose sum equals the coefficient of the middle term, which is   14 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  7  and  7  

                    y2 + 7y + 7y + 49

Step-4 : Add up the first 2 terms, pulling out like factors :

                   y • (y+7)

             Add up the last 2 terms, pulling out common factors :

                   7 • (y+7)

Step-5 : Add up the four terms of step 4 :

                   (y+7)  •  (y+7)

The solution is:

  y  =  -7  

 The solution is:

 y = -14 / 2 = -7

Answer:

B

Step-by-step explanation:

2/9th of the money does to netball

2/9 of 1800 is 400

Answer:b

Step-by-step explanation:

Answer:

12.25 cm²

Step-by-step explanation:

(3.5 cm)² = 12.25 cm²

Answer:

(a) O+ to A+

[tex]O+:A+=90:45[/tex]

[tex]O+:A+=18:9[/tex]

[tex]O+:A+=2:1[/tex]

(b) AB- : AB+

[tex]AB-:AB+ = 6:4[/tex]

[tex]AB-:AB+ = 3:2[/tex]

[tex]AB-:AB+ = 12:8[/tex]

(c): B+ to total

[tex]B+ : Total = 20 : 195[/tex]

[tex]B+ : Total = 4 : 39[/tex]

[tex]B+ : Total = 40 : 390[/tex]

Step-by-step explanation:

Given

[tex]A+ = 45[/tex]       [tex]B+ = 20[/tex]        [tex]AB+ =6[/tex]        [tex]O+=90[/tex]

[tex]A-=21[/tex]       [tex]B-=0[/tex]          [tex]AB-=4[/tex]          [tex]O-=9[/tex]

[tex]Total = 195[/tex]

See attachment

Required

Solving (a): O+ to A+

We have:

[tex]A+ = 45[/tex]

[tex]O+=90[/tex]

So, the ratio is:

[tex]O+:A+=90:45[/tex] ---- first comparison

Divide by 5

[tex]O+:A+=90/5:45/5[/tex]

[tex]O+:A+=18:9[/tex] ---- Second comparison

Divide by 45

[tex]O+:A+=90/45:45/45[/tex]

[tex]O+:A+=2:1[/tex] ---- Third comparison

Solving (b): AB- to AB+

We have:

[tex]AB+ =6[/tex]

[tex]AB-=4[/tex]

So, the ratio is:

[tex]AB-:AB+ = 6:4[/tex] ---- first comparison

Divide by 2

[tex]AB-:AB+ = 6/2:4/2[/tex]

[tex]AB-:AB+ = 3:2[/tex] ---- Second comparison

Multiply by 2

[tex]AB-:AB+ = 6*2:4*2[/tex]

[tex]AB-:AB+ = 12:8[/tex] ---- Third comparison

Solving (c): B+ to total

We have:

[tex]B+ = 20[/tex]

[tex]Total = 195[/tex]

So, the ratio is:

[tex]B+ : Total = 20 : 195[/tex] ---- first comparison

Divide by 5

[tex]B+ : Total = 20/5 : 195/5[/tex]

[tex]B+ : Total = 4 : 39[/tex] ---- Second comparison

Multiply by 2

[tex]B+ : Total = 20*2 : 195*2[/tex]

[tex]B+ : Total = 40 : 390[/tex] ---- Third comparison

Answer:

8/3

Step-by-step explanation:

We need to find the slope of the line that passes through points , (5,1) and (2,-7) . We can find the slope as ,

=> m = y₁ - y₂/ x ₁ - x ₂

=> m = -7 - 1 / 2 - 5

=> m = -8/-3

=> m = 8/3