The solutions of x² = 16x - 28 are
1) -2 and -14
2) 2 and 14
3) -4 and -7
4) 4 and 7

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

[tex]f(x) = \dfrac{1 + 2\cdot x}{x}[/tex]

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

[tex]\dfrac{1 + 2\cdot x}{x} = 2 + x[/tex]

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

Answer: a , b

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

The Time of day is skip counting by ten each time

EX: 1000-1010-1020-1030-1040- so on

Answer:

HOPE IT HELPED U .....

Step-by-step explanation:

a). f(5)= 2x +6

= 2 *5+6

= 10+6

=16

(b). g (9)= -12x+4

= -12*9+4

= -108 +4

=-104

(c). f(5)+f(9)= 16+(-104)

=-88

Answer:

Step-by-step explanation:

f(x)=2x+6

f(5)=2*5+6

f(5)=10+6

f(5)=16

g(x)=-12x+4

g(9)=-12*9+4

g(9)=-108+4

g(9)=-104

Answer:

126

Step-by-step explanation:

6 (14 + 7)

6 (21)

126

Answer:

C) 1/3

Step-by-step explanation:

if you have a 6 sided cube you have 1/6 of a chance of landing on any number.

But you only have a 2/6 chance of landing on 5 or greater.

2/6 is also equal to 1/3

Answer:

I dont see the question oh nvm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get

[tex](x+4)^2=9[/tex] Now we have to undo the squaring on the left by taking the square root of both sides:

[tex]\sqrt{(x+4)^2}=[/tex] ±[tex]\sqrt{9}[/tex] Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:

x + 4 = ±3

The 2 solutions are

x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.

Answer:

71. 8

Step-by-step explanation:

volume of a cylinder = 4/ 3 π r² h

=> 4817 = 4/ 3 × 22/ 7 × 4² × h

=> h = (4817 × 3 × 7)/ (4 × 22 × 4²)

=> h = 71.8

Answer:

√2 ft.

Step-by-step explanation:

⇒ Area of square board = 2 ft.²

⇒ (Side of the board)² = 2 ft.²

⇒ Side of the board = √(2 ft.²)

⇒ Side of the board = √2 ft.

Answer:

y=-1

Step-by-step explanation:

y=-1 just shows the y value which means its just a horizontal line which is parallel to the x axis.

Answer:

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

[tex]a^2+b^2=c^2\\[/tex]

Substitute,

[tex]a^2+40^2=47^2\\[/tex]

Simplify,

[tex]a^2+1600=2209\\[/tex]

Inverse operations,

[tex]a^2=609[/tex]

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Answer:

b = 9 mm

Step-by-step explanation:

Using Pythagoras; identity in the right triangle

b² + 40² = 41²

b² + 1600 = 1681 ( subtract 1600 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9 mm

Answer:B

Step-by-step explanation:

Answer:

x = 42°

Step-by-step explanation:

You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.

96 • 2 + 2y = 360

168 = 2y

y = 84

x is half of y.

84 ÷ 2 = 42

Answer:

[tex]x=42^{o}[/tex]

Step-by-step explanation:

Area of a triangle is 180 degrees

Here both the triangles are same so, form an equation:

[tex]x+x+96=180[/tex]

[tex]2x+96=180[/tex]

[tex]2x=180-96[/tex]

[tex]2x=84[/tex]

[tex]x=84/2[/tex]

[tex]x=42^{o}[/tex]

Answer:

upper left graph:  y = 3/4x-3

lower right graph:  x = 3

Step-by-step explanation:

Answer:

area=3.14 yd^2

Step-by-step explanation:

radius=diameter/2

=2/2

=1

area =π*r^2

=3.14&1

=3.14 yd^2

Answer:

3.14 yd^2

Step-by-step explanation:

First we need to find the radius

r = d/2 = 2/2 =1 yd

The area of a circle is given by

A = pi r^2

   = 3.14 ( 1)^2

   = 3.14 yd^2

Answer:

196,836,571.6 miles²

Step-by-step explanation:

the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere

surface area of a sphere = 4πr²

π= 3.14

r = 7,917.5 / 2 = 3958.75 miles

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

4 x 3.14 x 3958.75² = 196,836,571.6 miles²

Answer:

[tex]\sqrt{15}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{3}[/tex] × [tex]\sqrt{5}[/tex] = [tex]\sqrt{3(5)}[/tex] = [tex]\sqrt{15}[/tex]

Answer:

P=100(A-R)/RT

Step-by-step explanation:

A-R=PRT/100

100(A-R)=PRT

100(A-R)/RT=P

P=100(A-R)/RT

Answer:

-3

Step-by-step explanation:

[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.

This gives 12-3×5 or 12-15.

This solves to -3.

**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!

Answer:

all i know is that the answer is

above 2,400

Step-by-step explanation:

Answer:

11.67 Amperes

Step-by-step explanation:

From Ohm's law,

Ohm's law which state that a current

which flow through a conductor at a distance between two points is proportional directly to the voltage which is flowing across the two points.

I= V/R

Where

I= Current

V= potential difference =35v

R= resistance = 3 ohms

Then substitute the values we have

I = 35 / 3

I= 11.67 Amperes

Answer:

( x-2)^2 +(y-5)^2 = 12.25

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

( x-2)^2 +(y-5)^2 = (3.5)^2

( x-2)^2 +(y-5)^2 = 12.25

Answer: [tex]108^{\circ}[/tex]

Step-by-step explanation:

Given

The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].

Suppose the missing corner measures [tex]x[/tex]

So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]

[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]

Therefore, the missing angle is [tex]108^{\circ}[/tex].

Answer:

20

Step-by-step explanation:

By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.

Answer:

x < [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Have a great summer :)

Answer:

someone answered this and its correct

Step-by-step explanation:

:D

Good question. It is supposed to be both the y-intercept and the x-intercept and is the only point on a graph that can be both. Something in wrong in that thing.

Answer: square root property

Step-by-step explanation:trust me

Answer:

[tex] {( \cos2A - \cos2B) }^{2} + {( \sin2A + \sin2 B }^{2}\\ = ( - 2\cos2A \cos2B + { \cos {}^{2} 2A } + \cos {}^{2} 2B) + (2 \sin2A \sin2B + \sin {}^{2} 2A + \sin {}^{2} 2B)\\ \\ { = - 2( \sin2A + \sin 2 B - \cos2 A - \cos2B) }\\ \\ { = - 2( - 4 \sin( A + B) \cos(A + B) } \\ \\ = {\tt{double \: angle \: of \: sine}}\\ \\ { = 2 \times 2(2 \sin (A + B) \cos(A + B)) }\\ \\ { = 4 \sin2(A + B)}[/tex]

Answer:

∆ABC~=∆PQR

Angle BAC=QPR