could I have some help on my patterns assignment​

The Perimeter of a triangle ΔABC  is 27.68

Given ABC be triangle having vertices A(-2, -1), B(4, 3), C(-5, 7)

We need to find the perimeter of a triangle as

Perimeter of a triangle ΔABC = AB + BC +CA

Now we need to find distances as

D = √ (x₂ - x₁)² + ( y₂ - y₁ )²

AB = √ (4 - (-2))² + (  3 - (-1) )²

     = √ ( 4 + 2 )² + ( 3+1 )²

    = √ (6)² + (4)²

    = √ 36 + 16

    = √ 52

    = 7.21

BC = √ ((-5) - (4))² + (  7 - (3) )²

     = √ (-5 -4 )² + ( 7-3 )²

    = √ (-9)² + (4)²

    = √ 81 + 16

    = √ 97

    = 9.84

AC = √ ((-5) - (-2))² + (  7 - (-1) )²

     = √ (-5 -2 )² + ( 7+1)²

    = √ (-7)² + (8)²

    = √ 49 + 64

    = √ 113

    = 10.63

Perimeter of a triangle ΔABC = AB + BC +CA

                                                 = 7.21 + 9.84 + 10.63

                                                 = 27.68

Therefore, the Perimeter of the given triangle ΔABC  = 27.68

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Answer:

280. Answer choice D

Step-by-step explanation:

1st month: 60 meals

2nd month: 33% more than 1st month - 80 meals

(1 + (33/100)) * 60 = (1.33)(60) = 79.8 meals (Round to 80 meals)

3rd month: 2(60+80) = 280 meals

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(M) 280

Step-by-step explanation:

The first month the girls delivered 60 meals. For the second month 133% of 60 is (60 x 1.33) 79.8 which is ~ 80 meals. 80 + 60 = 140, 140 x 2 = 280

The answer is (M) 280

Answer

4 miles

Step-by-step explanation:

The distance traveled in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.

In order words, the total distance which is travelled in one hour if a person travels a journey of 2/3 miles in 10 mins is 4 miles.

The ratio of the parameters given from the above is given below:

2/3 miles in 10 mins

Convert hour to minutes:

let

Equate ratio of distance to time taken

2/3 : 10 = x : 60

2/3 ÷ 10 = x / 60

2/3 × 1/10 = x/60

2/30 = x/60

2 × 60 = 30 × x

120 = 30x

x = 120 / 30

x = 4 miles

Therefore, the distance traveled or covered in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.

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Answer:

3/14

Step-by-step explanation:

Answer:

3/14

Step-by-step explanation:

The prove that the equation can be verified using the laws of exponents.

It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).

It follows from the laws of indices ; particularly, the product of same base numbers.

The evaluation is therefore as follows;

2^(2x+4)= 16 • 2^(2x)

2^(2x) • 2⁴ = 16 • 2^(2x)

2^(2x) • 16 = 16 • 2^(2x)

Hence, since LHS = RHS, it follows that the expression is mathematically correct.

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The one cup holds 7 ounces of juice.

According to the statement

We have to find that the How many ounces does a cup hold.

So, For this purpose, we know that the

A quantity is a property of some object or collection of objects that is measurable.

From the given information:

A large juice jug holds the equivalent of 10 drinking cups: 4 jugs hold 189 ounces more than 13 drinking cups.

Let the amount held by a cup be y ounces.

So the large jug holds 10y ounces.

4 jugs hold 189 ounces more than 13 cups

4*10y=189+13y

40y-13y=189

27y=189

y=7

A cup holds 7 ounces.

So, The one cup holds 7 ounces of juice.

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You have 120 cups. The cups of beverage will be enough.

In order to determine the cups of beverage I have, the first step is to convert gallons and oz to cups.

1 gallon = 16 cups

16 x 4 = 64 cups

1 fluid ounce = 0.125 cups

64 x 0.125 x 7 = 56 cups

Total cups you have = 56 + 64 = 120 cups

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Answer:

4/15

i have my ways

Answer:1/2 / 7/8 = 8/14 = 4/7

Step-by-step explanation: switch the numbers on the second fraction and multiply. 1 * 8 = 8 2 * 7 = 14, 8/14 simplify: 4/7

Answer:

do ur best

Step-by-step explanation: somebody else might can help u

Answer: B

Step-by-step explanation:

Answer:

y=-3

Step-by-step explanation:

First, we start with the basic line equation:
y=ax+b
Plugging in the two points, we get
-3=a(5)+b and
-3=a(-3)+b
Simplifying we get
b=-3-5a
b=-3+3a
Setting the two equations equal, we get
-3-5a = -3+3a
8a = 0

so a =0
plugging in a into the first equation
-3=0(5)+b
b=-3

and finally plugging a and b into y=ax+b we get

y=-3

If this was helpful pls give me brainliest <3

Equation: [tex]y=-3[/tex].

To find the slope of this equation, let's refer to the formula of slope:

Slope (m)= [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]

Identify the points:

Let the ordered pair of (5, -3) take the number 1 for the notation. Hence:

[tex]x_{1} =5\\\\y_{1} =-3[/tex]

Note. This assigment of number 1 can be done arbitrarily, we could've named the coordinates of the other ordered pair as number 1 and the result would be the same.

Now, identify the values of the remaining ordered pair.

[tex]x_{2} =-3\\\\y_{2} =-3[/tex]

Substitute the values into the slope formula and calculate.

[tex]m=\frac{(-3)-(-3)}{(5)-(-3)} \\ \\m=\frac{-3+3}{5+3}\\ \\m=\frac{0}{8} \\ \\m=0[/tex]

To find the equation, we're going to use the formula for crafting linear equations which is the following:

[tex]y-y_{1} =m(x-x_{1} )[/tex]

Substitute the values into the formula and calculate.

[tex]y-(-3) =(0)(x-(-3) )\\ \\y+3=0\\ \\y=-3[/tex]

Note. For this formula you may use any of the ordered pairs to substitute.

Equation: [tex]y=-3[/tex].

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Answer:

Denominator

Step-by-step explanation:

The Denominator is under the fraction bar. The numerator is above the bar

Answer:

Denominator

Step-by-step explanation:

Denominator: The number below the fraction bar in a fraction; it tells the total number of equal parts.

I hope this image helps.

Answer:

-168

Step-by-step explanation:

-3(8)^2+(3)(8)

(-3)(64)+(24)

-192+24

-168

The weight as a decimal will be 0.275.

The way to fins the decimal using mental maths is to believe that it's 1/4.

It should be noted that the information given is that we should convert 11/40 t decimal.

This simply means to divide and the answer is 0.275.

Also, the way to find the decimal using mental maths is to believe that it's 1/4.

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Answer:

The last digit you multiplied by.

Step-by-step explanation:

It's not that hard, but here you go  :)

If you multiplied 12 by 11 you would get 2 as your last digit, because 2 is the last digit of 12. (12x11=132)

So for 123 by 11, following this pattern, 3  is the last digit of 123 so the answer must end in 3. (123x11=1353)

If you still don't get the pattern I'll give you a few more examples here:

If you multiply 1234 by 11 you would get a number ending in 4 because the last digit of 1234 is 4! (1234x11=13574)

So what would be the last digit of 12345?

Hope this was helpful!

(The answer was 5 btw)

Answer: Quadrant 3

Step-by-step explanation:

Hard to explain.

Answer:

96

Step-by-step explanation:

12 colors times 2 possibilities of with or without air conditioning is 24.

24 times two possibilities of with or without automatic transmission is 48.

48 times two possibilities of with or power windows is 96.

96 times two possibilities of with or CD player is 192.

[tex] \: \Large \mathbb{SOLUTION:}[/tex]

[tex] \: \: \rm{ \bigg( - \frac{5}{3} \bigg) {}^{2} } \\ [/tex]

[tex] \: \: \text{Determine the sign for exponential or radical expreasions}[/tex]

[tex] \: \: \rm{ \bigg( \frac{5}{3} \bigg) {}^{2} } \\ [/tex]

[tex] \: \: \text{Calculate the power}[/tex]

[tex] \: \: \rm \boxed{ \frac{25}{9} } \\ [/tex]

[tex] \frac{25}{9} \\ [/tex]

Determine the sign

[tex]( -\frac{5}{3} ) {}^{2} [/tex]

[tex]( \frac{5}{3} ) {}^{2} [/tex]

[tex] \frac{5 {}^{2} }{3 {}^{2} } \\ [/tex]

[tex] \frac{25}{3 {}^{2} } \\ [/tex]

[tex] \frac{25}{9} \\ [/tex]

The area of the shaded region is 8π-16.

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The possible numbers that Melody could have picked are -4 and 4.

The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".

Given, Let x be the number Melody had chosen.

Thus, tripling the number will give 3x, and

squaring this will result to (3x)² which is equals to 9x².

Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:

9x²/2 ₋ 30 = 42

9x²/2 = 42 ₊ 30

9x²/2 = 72

9x² = 72 × 2

9x² = 144

x² = 144/9

x² = 16

x = ±√16

x = ±4

x = ₊4 or x = 4

hence melody could have picked ₊4 or ₋4 numbers.

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The Isosceles triangle length of a² will be equal to (32 - 16√2).

What is an isosceles triangle?

The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.

A triangle that has at least two sides of equal length is said to be isosceles. Sometimes it is stated to have exactly two sides that are the same length, while other times it is stated to have at least two sides that are the same length, with the latter version mentioning the equilateral triangle as an exception.

It is given that in an isosceles triangle abc has a=π/4 and b=c=4. Then the value of a² will be calculated as below:-

Using the cosine formula to calculate the value of a².

a² = b² + c² -2bc cosФ

a² = 16 + 16 - 2(4)(4)cos(π/4)

a² = 32 - ( 32 x {√2/2})

a² = 32 - 16√2

Therefore, the length of a² will be equal to (32 - 16√2).

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Answer:

4^2(2-root2)

Step-by-step explanation:

The value of given set in modulus function IAI = 3.

A modulus function returns the magnitude of such a number regardless of its sign. It's also recognized as the absolute value function.

The modulus function's value is always non-negative. That unless f(x) is a modulus function, we get:

Now, as per the given question;

Groub A= {-3}

Estimate the IAI

IAI = I-3I

By the property of modulus function.

IAI = 3 (absolute value)

Therefore, the value of IAI is 3.

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Based on the calculations, the coordinates of the other end of the fence are equal to (-1, -7).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

3.5 = (8 + x₂)/2

Cross-multiplying, we have:

7 = 8 + x₂

x₂ = 7 - 8

x₂ = -1.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

-1 = (5 + y₂)/2

Cross-multiplying, we have:

-2 = 5 + y₂

y₂ = -2 - 5

y₂ = -7.

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When the number, 8,350,000,000 is written in scientific notation, it would be 8.35 × 10⁹.

When you write in scientific notation, you would be reducing a number from having any number of digits to the left of the decimal to the number having a single digit to the left of the decimal.

You would then multiply it by 10 raised to the power of the number of digits that were before the decimal which are now after it.

In this case, 8,350,000,000 in scientific notation would be:

= 8.35 × 10⁹

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Answer:

no

Step-by-step explanation:

quadruple means by 4, so it would be 400%

Answer:

One child weighs 120lbs, and the other weighs 40lbs.

Step-by-step explanation:

Assuming that you meant "Two" instead of "Do", there are two children that weigh 160 pounds together. If we know that one child weighs 120lbs more, we know that the other child has to weigh 40lbs using the equation below where x represents the weight of the second child:

120 + x = 160

Subtract 120 from both sides

x = 40

FINAL ANSWER: One child weighs 120lbs, and the other weighs 40lbs.