A. 3 times
B. 0.3 times
C. 1.3 times
D. 3 more than

Answer:

Step-by-step explanation:

[tex]4x^2-16x-9.\\Writ -16x - as -a -difference\\ 4x^2 +2x-18x -9 \\Factor -out- common- terms\\2x(2x+1)-9(2x+1)\\ Factor -out (2x+1)\\(2x+1)(2x-9)[/tex]

I Hope It Helps :)

Answer:

[tex] \boxed{\sf (2x - 9)(2x + 1)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies 4 {x}^{2} - 16x - 9 \\ \\ \sf Factor \: the \: quadratic \: 4 {x}^{2} - 16 x - 9. \\ \sf The \: coefficient \: of \: {x}^{2} \: is \: 4 \: and \: the \: constant \\ \sf term \: is \: - 9. \: The \: product \: of \: 4 \: and \: - 9 \: is \\ \sf - 36. \: The \: factors \: of \: - 36 \: which \: sum \: to \\ \sf - 16 \: are \: 2 \: and \: - 18. \\ \sf So, \\ \sf \implies 4 {x}^{2} - (18 - 2)x - 9 \\ \\ \sf \implies 4 {x}^{2} - 18x + 2x - 9 \\ \\ \sf \implies 2x(2x - 9) + 1(2x - 9) \\ \\ \sf Factor \: 2x - 9 \: from \: 2x(2x - 9) + 1(2x - 9) : \\ \sf \implies (2x - 9)(2x + 1)[/tex]

Answer:

(f+g)(-5)

(f+g)(x) = x²+3x-10+x+5

(f+g)(-5) = (-5)² + 3(-5)-10+(-5)+5

             = 25-15-10-5+5 = 0

(f-g)(3)

(f-g)(x) = x²+3x-10 - (x+5)

          = x²+3x-10-x-5

          = x²+2x-15

(f-g)(3) = (3)²+2(3)-15

          = 9+6-15 = 0

Answer:

2 sqrt(5)

Step-by-step explanation:

To find the geometric mean to two numbers

sqrt( x*y)

sqrt( 5*4)

sqrt(5) * sqrt(4)

2 sqrt(5)

Answer:

B.

Step-by-step explanation:

A =  C = 40°

40+40+ 4x = 180

4x = 100

x = 25°

Answer:

i think its A but im not sure

Answer:

False

Step-by-step explanation:

Definition of Tangency : Tangent to a circle is a line that touches the circle at one point, which is known as Tangency.

At the point of Tangency, Tangent to a circle is always perpendicular to the radius.

We are supposed to find The point of tangency of line S to circle A is M

Considering the definition,

The lines S touches the circle at point J not at M

So,The point of tangency of line S to circle A is M is False

So, Option B is correct

Hence The point of tangency of line S to circle A is M is False

Answer:

False

Step-by-step explanation:

Hope it helps.

Answer:

FBC

Step-by-step explanation:

It's the only one at the front of the box

Answer:

FBC

Step-by-step explanation:

thats what it says on my sheet

Answer:

D = 13 units

Step-by-step explanation:

Using Distance Formula to find the length.

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]

D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13 units

Answer:

i think its 13

Step-by-step explanation:

i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13

Answer:

See explanation

Step-by-step explanation:

Vertex: -b/2a = 8/4 = 2. Plug 2 back into the equation to get (2, -2)

y-intercept: plug 0 for all the x values to get 6. The y intercept is (0,6)

x intercept: factor the equation:

2(x^2 - 4x + 3)

2(x-3)(x-1)       <— by splitting the middle variable

so the x intercepts are (x-3) and (x-1) or 3 and 1.

Axis of symmetry : 2 (the x value of the vertex)

Domain: ARN ( all real numbers)

Range: ARN except y cannot be less than -2.

To graph you simply just plug in x values in a table and get the y values. Then plot them on the graph and draw a smooth curve.

Answer:

£2598.80

Step-by-step explanation:

155 people pay

49 are under 16

The number of 16+ people is: 155 - 49 = 106

Total money collected:

106 * £18.60 + 49 * £12.80 = £1971.60 + £627.20 = £2598.80

Answer:

The quadratic equation is: [tex]y=x^2-36[/tex]

Step-by-step explanation:

If the roots of the quadratic equation are "-6" and "6", then it must have the following factors:  [tex](x+6)\,\, and \,\,(x-6)[/tex]

Therefore, we can write the equation in factor form as:

[tex]y=a\,(x+6)\,(x-6)[/tex]

where a is a real number constant factor. Now, this equation in standard form will look like:

[tex]y=a\,(x^2+6x-6x-6^2)=a\,(x^2-36)=ax^2-36\,a[/tex]

Therefore, using the information about the leading coefficient being "1" (one), we derive that the constant  factor [tex]a[/tex] must be "1". The final expression for the quadratic becomes:

[tex]y=x^2-36[/tex]

Answer:

x = 68

Step-by-step explanation:

If you divided 90 by 45, you can see that the 1st ratio has been multiplied by 2 to get the second ratio. To get x, simply multiply 34 by 2 and you should get 68

Answer:

68

Step-by-step explanation:

Answer:

110 ft  

Step-by-step explanation:

The length of fencing is four times the perimeter of one garden.

The formula for the perimeter of a rectangle is  

P = 2l + 2w

The total perimeter for all four rectangles is

P = 4× (2l + 2w) = 8l + 8w

Data:

 l = 9¼ ft

w = 4½ ft

Calculation:

P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft

The total length of fencing is 110 ft.

Answer:

1060

Step-by-step explanation:

Given:

No. of boys = 870

No. of girls = 800

Probability that a boy chosen studies Spanish = [tex]\dfrac{2}{3}[/tex]

Probability that a girl chosen studies Spanish = [tex]\dfrac{3}{5}[/tex]

the number of boys in the school who study Spanish :

[tex]\dfrac{2}{3}\times 870=290\times 2=580[/tex]

the number of girls in the school who study Spanish :

[tex]\dfrac{3}{5}\times 800 \\=3\times 160\\\\=480[/tex]

Therefore, total number of students who study Spanish would be :

480+580=1060

Answer:

x=5

Step-by-step explanation:

(the goal is to get x by itself)

subtract x on both sides

5x-11=14

add 11 on both sides

5x=25

divide 5 on both sides

x=5

and check your work by plugging x back in to see if the two sides equal each other.

Step-by-step explanation:

6x-11=x+14

[tex]6x - x - 11 - 14 = 0 \\ 5x - 25 = 0 \\5x = 25 \\ x = 5[/tex]

Answer ?.???? ?.???. ?????

Area of the semicircle = 509.004 cm²

When an arc of a circle with its endpoints on the diameter cuts a circle into two equal halves, those halves are called semicircles.

Given,

radius of semicircle = 18cm

π = 3.142

Area of the semicircle = πr²/2

                                     = 3.142 × 18×18/2

                                     = 3.142 × 18×9

                                     = 56.556×9

                                     = 509.004 cm²

Hence, 509.004 cm² is the area of the semicircle.

Learn more about semicircle here:

https://brainly.com/question/29140521

#SPJ2

Answer:

y = -1/2x + 2

Step-by-step explanation:

If two lines are perpendicular then the product of their slopes are -1

m1*m2 = -1

where m1 amd m2 is slope of two lines.

_______________________________________

Given line

y = 2x-3\

it is in form of y = mx+c (slope intercept form)

where m is slope and c is y intercept

Thus, slope of line  y = 2x-3 is 2

Now we know that product of two lines are -1

let m be slope of other line

then m*2 = -1

m = -1/2

thus, slope of required line is -1/2

let the line be y = mx+c but m = -1/2

thus

y = -1/2 x + c

given that point(-6,5) lies on it

we use -6 in plca of x and 5 in place of y

5 = -1/2 *-6 + c

=>5 = 3 +c

=> c = 5-3 = 2

Thus, equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5) is y = -1/2x + 2

Answer:

{2, 4}.

Step-by-step explanation:

A = {1, 2, 3, 4, 5} and B = {2, 4}.

A ∩ B?

This means intersection or what is in common

A ∩ B =  {2, 4}.

Answer:

The first four terms are:  -3, -1, 1, and 3

Step-by-step explanation:

First 4 terms are:

f(1) = 2 (1) - 5  = -3

f(2) = 2 (2) - 5  = -1

f(3) = 2 (3) - 5  = 1

f(4) = 2 (4) - 5  = 3

Answer:

[tex]F=\frac{K Q1Q2}{d^2} \\[/tex]

Step-by-step explanation:

According to coulombs law "the force of attraction or repulsion between two charges Q1 and Q2 in a given medium is directly proportional to the product of their charges and inversely proportional to the square of the distance separating them"

[tex]F=\frac{K Q1Q2}{d^2} \\[/tex]

where

k = constant of proportionality ([tex]9.05*10^9[/tex])

Answer:

it is c

Step-by-step explanation:

Answer:

I think A

Step-by-step explanation:

I'm not really sure but I think it's A assuming the triangle is not an equilateral

Answer:

[tex]\frac{y-x}{x+y}[/tex]

Step-by-step explanation:

We are given that fraction

[tex]\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}[/tex]

We have to find the expression which is equivalent to given  fraction .

[tex]\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}[/tex]

[tex]\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}[/tex]

Substitute the values  then, we get

[tex]\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}[/tex]

We know that

[tex]\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}[/tex]

Using the property then, we get

[tex]\frac{y-x}{xy}\times \frac{xy}{x+y}[/tex]

[tex]\frac{y-x}{x+y}[/tex]

This is required expression which is equivalent to given expression.

The equivalent fraction of the given fraction is needed.

The equivalent fraction is [tex]\dfrac{y-x}{y+x}[/tex]

The given fraction is

[tex]\dfrac{\dfrac{1}{x}-\dfrac{1}{y}}{\dfrac{1}{x}+\dfrac{1}{y}}[/tex]

Simplifying the fraction

[tex]\dfrac{\dfrac{y-x}{xy}}{\dfrac{y+x}{xy}}\\ =\dfrac{y-x}{xy}\times \dfrac{xy}{y+x}\\ =\dfrac{y-x}{y+x}[/tex]

The equivalent fraction is [tex]\dfrac{y-x}{y+x}[/tex]

Learn more:

https://brainly.com/question/14744647

Answer:

a(8) = -49152

Step-by-step explanation:

Step 1: Find r

-12/3 = 4

Step 2: Write geometric explicit formula

[tex]a_{n} = 3(4)^{n-1}[/tex]

Step 3: Plug in 8th term for n

[tex]a_{8} = 3(4)^{7}[/tex]

a(8) = -49152

Alternatively you can find r then multiply 3 by -4 8 times.

Answer:

108πin³

Step-by-step explanation:

The volume of a cone = ⅓ of the volume of a cylinder

Thus, volume of cylinder = 2πr²h

Where, r = radius, h = height of cylinder.

Volume of cone = ⅓×πr²h

So therefore, the volume of a cone given = ⅓ of the volume of a cylinder with the same height and and base of the cone

Thus,

If Volume of cone = 36πin³ , volume of cylinder would be 3 × 36πin³

Volume of cylinder = 108πin³

Answer:

B. (1, -5), (3, -9), (6, -2)

Step-by-step explanation:

First vertex: -2 + 3 = 1, -1 - 4 = -5, so (1, -5)

Second vertex: 0 + 3 = 3, -5 - 4 = -9, so (3, -9)

Third vertex: 3 + 3 = 6, 2 - 4 = -2, so (6, -2)

(1, -5), (3, -9), (6, -2)

I hope this helps :))

ANSWER:

The answer is -16.75  

First divide the division 3/-4 then start the addition and subtraction

Answer:

-67/4 or -16.75

Step-by-step explanation:

Simply plug all of that into the calc and you should get your answer.

Answer:

100 kilometers per hour.

Step-by-step explanation:

Since he covered a distance of 250 km in a time range of 2 and a half hours, his average speed in kilometers per hour is 250 / 2.5, which is 100 kilometers per hour.

Answer:

100km / hr

Step-by-step explanation:

Given That:

Time = between 6.00 and 8.30 = 2 1/2 hours  

Distance = 250 k m

We Know that :

Speed  = Distance divided by time.

Unit of speed, appropriate here = km/h

thus, Speed = 250/2.5 = 100km/hr.

Hope this helps

Answer:

A =7  B=14

Step-by-step explanation:

AREA OF RING

PERIMETER OF RING