vertical Angles and Linear Pairs

Answer:

[tex]\rm Slope = -1[/tex]

Step-by-step explanation:

Given :-

And we need to find out the gradient of the line. parallel to the given line .The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,

Slope intercept form :-

[tex]\rm\implies y = mx + c [/tex]

On comparing it to slope Intercept Form , we have ,

[tex]\implies \rm Slope (m) = (-1)[/tex]

And the slope of the line , parallel to a line is same as that of the given line. Therefore they will have same gradient.

[tex]\implies \boxed{\rm Slope_{(||\ line)} (m) = (-1)}[/tex]

Hence the gradient of the line is (-1) .

Answer:

Step-by-step explanation:

This is about the range of the data.

The student with the most homework spent 4 1/2 hours and the student with the least homework spent 2 hours.

The difference is:

Correct choice is A

Answer:

2 ¹/₂ hours

Step-by-step explanation:

From inspection of the given line plot:

To find the difference between the most and least number of hours of homework, subtract the smaller number from the larger number:

[tex]\sf \implies 4 \frac{1}{2} - 2 = 2 \frac{1}{2}[/tex]

Therefore, the difference, in hours, between the student with the most homework and the student with the least homework is 2 ¹/₂ hours.

Let the amount Tom does = x

Then Larissa’s time would be 3x( 3 times the amount of Tom)

And Neal would also be 3x

The total of the 3 is 84 hours so as an equation you have:

X + 3x + 3x = 84

Combine like terms

7x = 84

Divide both sides by 7

X = 84/7

X = 12 hours

Tom = x, so Tom exercised for 12 hours.

Answer:

63°

Step-by-step explanation:

...................................

Answer:

#1: This system intersects in A:  ✔ zero  place(s).

#2: Which statement is true?  C: There are no solutions.

Step-by-step explanation:

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This System of Quadratic equation is intersects at zero place.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic equation is,

- x² + x + 6 = 2x + 8

Now,

The quadratic equation is;

- x² + x + 6 = 2x + 8

x² + 2x - x + 8 - 6 = 0

x² + x + 2 = 0

So, The solution of the quadratic equation is solve as;

x = - 1 ± √1² - 4 × 1 × 2 / 2 × 1

x = -1 ± √1 - 8 / 2

x = - 1 ± √-7 / 2

x = - 1 ± √7i / 2

Clearly, It has no real solution do, it cannot cut at any point.

Therefore,

This System of Quadratic equation is intersects at zero place.

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Answer:

4c=4d

-remember to change the signs/symbols and do the like terms

Exponential Expressions into Expanded Form into Answer:

[tex]9^{3}[/tex] = 9⋅9⋅9 = 729

[tex]7^{4}[/tex] = 7⋅7⋅7⋅7 = 2401

I hope this helps, have a good day!

Answer:

= 9⋅9⋅9 = 729

= 7⋅7⋅7⋅7 = 2401

Step-by-step explanation:

Answer:

S(-8,-3), T(0, -3), and U(-7, -8)

Step-by-step explanation:

for all of the coordinates, you would subtract 8 from their X-values, and subtract 13 from their Y-values.

Answer:

[tex]\text{c. }r>0[/tex]

Step-by-step explanation:

Define a positive number by all real numbers greater than, but not including, zero.

The inequality that represents this is [tex]\boxed{\text{c. }r>0}[/tex]

*Note: The sign [tex]\geq[/tex] represents including the value following it. However, we do not want to include zero in our set, hence [tex]r>0[/tex]

Answer:

r > 0

Step-by-step explanation:

a. r≤ 0            the equation is represented as r value is equal to zero or less than zero. So r can be zero or negative since its saying less than zero.

b. r≥ 0            the equation is represented as r value is greater than but equal to zero. So r can be zero and nonpositive.

c. r> 0            the equation is represented as r value greater than 0 which makes the answer positive.

d. r≤ ∞           the equation is represented as r value is equal to all positive integers but all negative integers.

e. r< ∞           the equation is represented as r value is all negative numbers since the inequality sign is less than

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Step-by-step explanation:

3 x 6 = 6 + 6 + 6

4 x 6 = 6 + 6 + 6 + 6

Answer:

18/24

hope this helps

have a good day :)

Step-by-step explanation:

By finding a common factor, we can rewrite the expression as:

54 + 72 = 18*(3 + 4)

The distributive property says that we can write:

C*(A + B) = C*A + C*B

In this case, we want to rewrite the expression:

54 + 72

So the first thing we need to find is a common factor between these two numbers.

We can rewrite these as:

54 = 2*3*3*3

72 = 2*2*2*3*3

The maximum common factor between these two nmbers is:

2*3*3 = 18

Then we can rewrite:

54 = 18*3

72 = 18*4

Then we can rewrite the expression as:

54 + 72 = 18*3 + 18*4 = 18*(3 + 4)

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Answer:

Step-by-step explanation:

hi!

area:

both 7 by 4 sides: (7*4)2=56

both 3 by 7 sides: (3*7)2=42

both 3 by 4 sides: (3*4)2=24

add em up=56+42+24=122

i hope this answered your question. let me know if i missed something and ill fix it!

The domain of the function whose graph shown in diagram is x ≤ 1.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.

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Answer:

The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.

Step-by-step explanation:

Answer:

The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.

Step-by-step explanation:

SAMPLE

Answer:

-3

Step-by-step explanation:

because if the l had an equation of 2-3x always the gradient goes with an x

Answer: 2/3πx³

Step-by-step explanation:

Let the radius of the cone be represented by x.

Since the height of the cone is twice the radius of its base, the height will be: = 2x

Volume of a cone = 1/3πr²h

where,

r = x

h = 2x

Volume of a cone = 1/3πr²h

= 1/3 × π × x² × 2x

= 1/3 × π × x² × 2x

= 1/3 × π × 2x³

= 2/3πx³

Therefore, the correct answer is 2/3πx³.

Answer:

honestly I really don't know but I think it is 12 colers

Answer:

Yes,the kits have the same ratio of acrylic paints to watercolor paints.

Step-by-step explanation:

12:24

12÷12=1

24÷12=2

1:2

8:16

8÷8=1

16÷8=2

1:2

Answer:

6x^2-27x-15

Step-by-step explanation:

Area of rectangle: length x width

Area=(2x+1)(3x-15)=6x^2-27x-15

Answer:

[tex]f(g(5)) = 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x+ 2[/tex]

[tex]g(x) = x^2 - 27[/tex]

Required

[tex]f(g(5))[/tex]

First, calculate [tex]f(g(x))[/tex]

We have:

[tex]f(x) = x+ 2[/tex]

Substitute [tex]g(x)[/tex] for x

[tex]f(g(x)) = g(x) + 2[/tex]

Substitute [tex]g(x) = x^2 - 27[/tex]

[tex]f(g(x)) = x^2 -27+ 2[/tex]

[tex]f(g(x)) = x^2 -25[/tex]

Substitute 5 for x

[tex]f(g(5)) = 5^2 -25[/tex]

[tex]f(g(5)) = 25 -25[/tex]

[tex]f(g(5)) = 0[/tex]

Answer:

i

Step-by-step explanation:

what a question answer to the questions

Answer:

A. 4

Step-by-step explanation:

4 is a positive number which is larger to 3 and bigger than negative numbers.

Answer:

Step-by-step explanation:

i\        

i  \

i   \

i    /

i  /

Answer:

There are 4 significant figures in the number 4105

Hope this helps!

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Answer:

4 significiant figures

Step-by-step explanation:

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Answer:

the k is 7

Step-by-step explanation:

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

Answer:

k = 7

Step-by-step explanation:

The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].

[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]

The product of 5 and 14 using the distributive property is 70.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

For three numbers a, b and c, Distributive property states that,

a (b + c) = a b + a c

We have to find the product 5 × 14 using distributive property.

5 × 14 = 5 (12 + 2)

Using distributive property,

5 × 14 = (5 × 12) + (5 × 2)

          = 60 + 10

          = 70

Hence using distributive property, we can find the product of 5 and 14 as 70.

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Answer:

1/2 is a half for example u can do 4/8 and it is equal to a half does not matter how big like 50/100 is also correct. Hope this helps :)

Answer:

Monday??????

SteP-by-step explanation:

Answer: (3b - 7)kg

Step-by-step explanation:

Jona's weight = b kg

Since Jona's mother's weight is seven kg less than three time than jona's weight. This will be:

= (3 × b) - 7

= 3b - 7

Therefore, the mother is (3b - 7)kg

Comparing the maple tree and the pine tree growth information, the tree that grows faster is the pine tree.

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so on.

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem,  b for maple is given as 1.5 and we calculate for pine using the data in the table. the equation is derived as follows

f(x) = a(b)ˣ

12 = a(b)¹

24 = a(b)²

dividing 24 = a(b)² by 12 = a(b)¹

b = 2

hence for pine tree the b is 2 which is greater than 1.5

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The first equation in the second system is a multiple of  second equation

is the first equation and the second equation  in the second system is a multiple of both equation in the first system

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