What is the nth term rule of the linear sequence -5,-7,-9,-11,-13

Answer:

See Explanation

Step-by-step explanation:

Given two variables (say x and y); the constant of proportionality is the ratio between these to variables.

Illustration; y is directly proportional to x

The above statement can be represented as:

[tex]y\ \alpha\ x[/tex]

When converted to an equation, you get

[tex]y\ =k x[/tex]

k, in the above equation, represents the constant of proportionality

Divide both sides by x to solve for k

[tex]k = \frac{y}{x}[/tex]

Take for instance: [tex]y = 3x[/tex]

Divide both sides by x

[tex]\frac{y}{x} = 3[/tex] --- 3 is the constant of proportionality

Answer:

it depends on the size and angles that are given

SSS means side side side

SAS means side angle side

ASA means angle side angle

AAS means angle angle side

Answer:

3.14

Step-by-step explanation:

Because you know it's the right answer.

Answer:

C

Step-by-step explanation:

Perpendicular bisector of line segment AB

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

Equation 1: 12-x=5 (Answer is 7)

Equation 2: 60-x=25 (Answer is 35)

Answer:

ronalyn has 7 oranges

7 + 5 = 12

aurthur has Php 35.00

25.00 + 35.00 = 60.00

hope it helps u..

Answer:

Perimeter = 30

Area = 30

Step-by-step explanation:

[tex](x+8)^2 -x^2 = 12^2[/tex]

[tex]x^2 +16x +64 - x^2 = 144[/tex]

[tex]16x+64=144[/tex]

[tex]16x = 80[/tex]

[tex]x = 5[/tex]

Double check:

[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]

Perimeter:

[tex]12+5+13=30[/tex]

Area([tex]\frac{1}{2}bh[/tex]):

[tex]\frac{1}{2}[/tex] × 12 × 5 = 30

According to Pythagorean theorem,

Δ  (Hypotenuse)² = (1st Leg)² + (2nd Leg)²

⇒  (x + 8)² = x² + 12²

⇒  x² + 64 + 16x = x² + 144

⇒  16x = 80

⇒ x = 5

Hypotenuse = (x + 8) = (5 + 8) = 13

1st Leg = 5

2nd Leg = 12

We know that : Perimeter is the Sum of all sides of the Triangle

⇒  Perimeter = Hypotenuse + 1st Leg + 2nd Leg

⇒  Perimeter = 13 + 5 + 12

⇒  Perimeter = 30

We know that :

[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]

Base = 1st Leg

Height = 2nd Leg

[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]

[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]

Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]

Answer:

x= 4/3

y= -8

if you ment 3x + 2y = -12 in the second problem

Step-by-step explanation:

Answer:

24000ml or 24L

Step-by-step explanation:

wxhxl = volume

20cm x 30cm x 40cm = volume

volume = 24000cm3

1cm3 = 1ml

24000cm3 = 24000ml

1000ml = 1L

24000ml = 24L

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

Answer:

Solution given:

letA=(10,-4)

B=(-2,-4)

centre[C](h,k)=[tex]\frac{10-2}{2},\frac{-4-4}{2}=(+4,-4)[/tex]

radius=[tex]\sqrt{(4-10)²+(-4+4)²}=6[/tex]units

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

(x-4)²+(y+4)²=36

or.

x²-8x+16+y²+8y+16=36

x²-8x+8y+y²=36-32

x²-8x+8y+y²=4

The equation is (x-4)²+(y+4)²=36 or x²-8x+8y+y²=4.

Answer:

[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]

Step-by-step explanation:

the given points are the diameter points of circle because notice that in the both points y coordinate is the same therefore it's a horizontal diameter

since (10,-4),(-2,-4) are the diameter points of the circle the midpoint of the diameter will be the centre of the circle

remember midpoint formula,

[tex] \displaystyle M = \left( \frac{x _{1} + x_{2} }{2} , \frac{ y_{2} + y_{2}}{2} \right)[/tex]

let,

thus substitute:

[tex] \rm\displaystyle M = \left( \frac{10 + ( - 2)}{2} , \frac{ - 4 + ( - 4)}{2} \right)[/tex]

simplify addition:

[tex] \rm\displaystyle M = \left( \frac{8}{2} , \frac{ - 8}{2} \right)[/tex]

simplify division:

[tex] \rm\displaystyle M = \left( 4, - 4 \right)[/tex]

so the centre of the circle is (4,-4)

since it's a horizontal diameter the the redious will be the difference between the x coordinate of the Midpoint and the any x coordinate of the given two points but I'll use (-2,-4) therefore the redious is

[tex] \displaystyle r = 4 - ( - 2)[/tex]

simplify which yields:

[tex] \displaystyle\boxed{ r =6}[/tex]

recall the equation of circle

[tex] \displaystyle (x - h) ^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

we acquire that,

therefore substitute:

[tex] \rm\displaystyle (x - 4) ^{2} + {(y - ( - 4))}^{2} = {6}^{2} [/tex]

simplify:

[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]

and we are done!

also refer the attachment

(the graph is web resource of desmos)

Answer:

Quadratic formula is the tool for solving for an unknown number (usually x)

Step-by-step explanation:

The formula is below

Answer:

Below.

Step-by-step explanation:

The formula, which gives the solutions of the equation, is

x = [-b ±√(b^2-4ac)]/2a.

- a, b and c are the coefficients of the quadratic equation

ax^2 + bx + c = 0.

Answer:

A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.

Step-by-step explanation:

Basically in simple terms, one side is the statements, and the otherside is the reasoning

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]

taking positive

t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]

t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]

So

t=4.15seconds closer to 4seconds.So

Max is closer.

Answer:

i dont know spanish

Step-by-step explanation:

Answer:

B. Symmetry

Step-by-step explanation:

They are symmetrical, meaning they are mirrored or both look the same.

Hope this helps! :)

Step-by-step explanation:

[tex]8 log_{5}( {x}^{5} ) = 8 \times 5 log_{5}(x) \\ = 40 log_{5}(x) [/tex]

Answer:

∆ABC~=∆PQR

Angle BAC=QPR

Answer:

18

Step-by-step explanation:

Calculation to determine how many coloured paper are there

Let 3x represent the number of coloured papers

Let 8x represent the number of white papers

Given that 8x=48

Hence,

x=48/8

x=6

Now let determine how many coloured paper are there

Coloured paper=3x

Coloured paper=3(6)

Coloured paper=18

Thereffore the number of coloured paper that are there is 18

can you please put the equation so i can answer it?

thank you!

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:

Solution given:

sin 47=opposite/hypotenuse

Sin 47=x/18

x=sin47*18

x=13.16ft

Answer:

ammaamakamamMN8181(18736

Step-by-step explanation:

88271(1(1+1+382(2(#!#

Answer:

IQR = 12

Step-by-step explanation:

interquartile range is the difference between quartile 3 and quartile 1

in this set of data Q3 = 40 and Q1 = 28

so IQR = 12

Answer:

gradient of horizontal slope is 0

Answer:

(105 | 35)

the x-component (how much to the side) is left, the y-component right (how high)

The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.

For the given situation,

The graph shows the time in x-axis and cost in y-axis.

Ordered pairs are often used to represent two variables.

The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.

From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.

Thus the point of intersection is x at 110 and y at 35.

⇒ [tex](x,y)=(110,35)[/tex]

Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

Learn more about graphs here

https://brainly.com/question/7563606

#SPJ2

Step-by-step explanation:

The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.

Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180

90 + 2x + 3x = 180

90 + 5x = 180

subtract 90 from both sides to separate the x and its coefficient

5x = 90

divide both sides by 5 to separate the x

x = 18

(a) ∠CAB = 2x = 18(2) = 36

(b) ∠ABC = 3x = 18(3) = 54

(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.

Answer: the 23rd term of the arithmetic sequence=91

Step-by-step explanation:

The nth term of an arithmetic sequence is given as

an=a+  (n-1) d

Given common difference , d=4 and

first term is a^1 = 3.

We have that

a₂₃=3+  (23-1) 4

a₂₃=3+  (22) 4

a₂₃=3+  88

a₂₃=91

the 23rd term of the arithmetic sequence=91

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