Describe in your own words how graphing equations can help find the
solution to a system of equations?

Answer:

[tex]a_{n}[/tex] = 60 - 15n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 45 and d = a₂ - a₁ = 30 - 45 = - 15 , then

[tex]a_{n}[/tex] = 45 - 15(n - 1) = 45 - 15n + 15 = 60 - 15n

An equation for the nth term of the arithmetic sequence is aₙ=60-15n.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given arithmetic sequence is 45, 30, 15, 0,.....

Here, a=45 and d=30-45 = -15

Now, aₙ=45+(n-1)(-15)

aₙ=45-15n+15

aₙ=60-15n

Therefore, an equation for the nth term of the arithmetic sequence is aₙ=60-15n.

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Answer:

its B I think not for sure

Answer:

264 square miles

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

4x - 2(x + 4) = 22

Distribute:

4x - 2x - 8 = 22

Combine like terms:

2x - 8 = 22

Simplify and solve:

2x = 14

x = 7

Answer:

4x-2x-8=22

2x-8=22

2x=30

x=15

Answer:

AAS

Step-by-step explanation:

Angle K is congruent to Angle N (given), Angle H is congruent to itself (reflexive property), and side JH is congruent to side MH (given).

Answer:

X=23

Step-by-step explanation:

x + (-12) = 11

Open the bracket

x-12=11

Collect like terms

X=11+12

X=23

The perimeter of the square is 70.8 meters.

To find the perimeter of a square, we need to know either the length of one side or the area of the square. In this case, we are given the area of the square as 313.29 m².

The formula for the area of a square is:

Area = side length²

We can rearrange this formula to solve for the side length:

Side length = √Area

Substituting the given area into the formula, we have:

Side length = √313.29 m²

Calculating the square root of 313.29, we find that the side length of the square is approximately 17.7 meters (rounded to one decimal place).

Since a square has four equal sides, the perimeter is simply four times the side length:

Perimeter = 4 * 17.7 m = 70.8 meters

As a result, the square's circumference is 70.8 metres.

for such more question on perimeter

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The product is greater than  both factors but less than 1.

Answer:

0.54m/s

Step-by-step explanation:

Speed = distance / time

5.4/10=0.54 m/s

Answer:

Step-by-step explanation:

x - 2.8 gal < 24.5 gal

x < 247.8 gal

Answer:

x < 27.3 gallons

Step-by-step explanation:

gallons in the tank before = x

x < 2.8+24.5

x < 27.3 gallons

Answer:      imgurl=http%3A%2F%2Fwww.rasmus.is%2FIS%2FT%2FF%2FSu52k03_m01.gif&imgrefurl=http%3A%2F%2Fwww.rasmus.is%2Fuk%2Ft%2FF%2FSu52k03.htm&tbnid=0mYNOM8hE-8CkM&vet=12ahUKEwj4y9mb3NrvAhXNtFMKHZ9kCDEQMygIegUIARCjAQ..i&docid=Iv4G7-Ojzx0JrM&w=290&h=247&q=Which%20function%20does%20the%20graph%20represent%3F3%2C%2015)Of(x)%20%3D%20(x%20%2B%203)(x%20%2B%207)O%20f(x)%20%3D%20(x%20-%203)(x%20-%207)O%20f(x)%20%3D%203(x%20%E2%80%93%203)(x%20%E2%80%93%207)Of(x)%20%3D%2011(x%20%2B%203)(x%20%2B%207)&safe=active&ved=2ahUKEwj4y9mb3NrvAhXNtFMKHZ9kCDEQMygIegUIARCjAQ

Answer:

10/4 or 15/6

Step-by-step explanation:

Answer:

You have a 2/3 chance

Answer:

2/3

Step-by-step explanation:

when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.

so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.

Answer:

The answer is choice first which is "When x = 3, both expressions have a value of 30".

Step-by-step explanation:

Given:

First expression: [tex]4(x+3)+2x[/tex]

Second expression: [tex]6(x+2)[/tex]

Through the question when we substitute x=3 into its first equation so we get:

[tex]\to 4(3+3)+2(3) \\\\ \to 4\times (6)+6\\\\ \to 24+6\\\\ \to 30[/tex]

The value will be substituted by x=3 into its second expression:

[tex]\to 6(3+2)\\\\ \to 6(5)\\\\ \to 30[/tex]

So, it will prove that both the two expressions are equivalent.

9514 1404 393

Answer:

Step-by-step explanation:

When Mai receives money, her account balance increases. The amount received can be represented by a positive number.

When Mai spends money, her account balance decreases. The amount spent can be represented by a negative number.

Question 1

D) relative pronoun

Question 2

A) subject pronoun

Question 3

C) reflexive pronoun

Question 4

B) object pronoun

Hope this helps :)

Step-by-step explanation:

hope it is helpful

Answer: 152$

Step-by-step explanation:

255 x (1/3) = 85

85

110 of the coins are 50p

110 x .5 = 55

85 + 55 = 140

85 + 110 = 195 total coins

255 - 195 = 60

60 x .2 = 12$

140 + 12 = 152$

Step-by-step explanation:

pentagonal pyramid

cone

7

Answer:

$1452.6

Step-by-step explanation:

To obtain the cost of fencing round a triangular paddock, we obtain the perimeter. The perimeter of a triangle is given as :

Perimeter = a + b + c ; where a, b and c are the length of the three sides of the triangle.

The perimeter of the paddock in this scenario is :

(114 + 102 + 53) feets = 269 feets ; which are the lengths of the 3 sides of the triangular paddock.

Painting Cost per feet = $5.40

Cost per feet * number of feets

$5.40 * 269

= $1452.6

Answer:

2 yards

Step-by-step explanation:

1 yard = 3 feet

Answer:

2 yards

Step-by-step explanation:

Answer:

158 in.

Step-by-step explanation:

Surface area of a prism = Area of all the faces added together

So, Face 1 & 2 = 5 x 80 = 40 x 2 = 80

Face 3 & 4 = 8 x 3 = 24 x 2 = 48

Face 5 & 6 = 5 x 3 = 15 x 2 = 30

Therefore, adding them together makes:

80 + 48 + 30 = 158 in.

Answer:

True

Step-by-step explanation:

The absolute value of any number will always be positive. Therefore the absolute value of a negative number is the opposite of the negative. Which is positive.

Answer:

my answer is no because for a right angle triangle the sum of the squares of the other two sides is equal to the square of the longest side

3²+7²=9+49=58

(√57)²=57

57≠58 it's not a right angle triangle

assume the sides to be a,b and c

a=3 b=7 c=√57

by Pythagoras theorem

a²+b²=c²

3²+7²=√57²

but 58≠57

hope it's clear

Answer:

Find x

Find y

Answer:

in first figure

by using Pythagoras law

h²=p²+b²

y²=5²+5²

y=√50=5√2

y=5√2

Step-by-step explanation:

for second figure

by using Pythagoras law

h²=p²+b²

x²=14²+7²

x=√245=7√5

x=7√5

Answer:

x = 13 units ; y = 13√2 units

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation: