Spectrum word problems Grade 8 HELP

Answer: (-1.5, 2) and (-1.5, -3.5)

Step-by-step explanation:

The distance between two points (a, b) and (c, d) is:

D = √( (a - c)^2 + (b - d)^2)

A simpler case, is when we have two points where one of the components is the same for both of them, like:

(a, b) and (a, c)

Then the distance will be:

D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI

Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5

The solution will be:

(-1.5, 2) and (-1.5, -3.5)

Where the x-component is the same in both of them, then the distance will be:

D = I2 - (-3.5)I  = I2 + 3.5I = 5.5

Answer:7.62, if not just 7.6 orr 58 read explanation lol

Step-by-step explanation:

i did the math and i doubled checked on a calculator :P,

cause you use the formula c= [tex]\sqrt{a^2+ b^2}[/tex] and in this case a^2 and b^2 is 3^2 and 7^2 and then you solve so its 9 and 49 and then add them which is 58 and then you find the square root of 58 which is 7.6 or in your case you put 58 under the square root

Step-by-step explanation:

yes indeed it is rational

0.14285714285

Calculator ;)

Answer:

1. x=4

2. x=7

3. x=-2

4. x=-2

5. x=-3

Step-by-step explanation:

1. Divide both sides by -2 to get x by itself

-2x/-2=-8/-2....

x=4

2. Add 4 to both sides and then divide by -2

-2x-4+4=-18+4

-2x/-2=-14/-2

x=7

3. Distribute, add 12 to both sides and then divide by 3

3x-12=-18

3x-12+12=-18+12

3x/3=-6/3

x=-2

4. Add 5 to both sides

x-5+5=-7+5

x=-2

5. Distribute, add 4 to both sides, divide both sides by 4

4x-4=-16

4x-4+4=-16+4

4x/4=-12/4

x=-3

Answer:

x=  3

Step-by-step explanation:

4x+ 4 x= 12 + 12  

8x = 24

x=  24/8  

x= 3

Answer:

[tex]7.09*10^{8}[/tex]

Step-by-step explanation:

In scientific notation, a number less than 10 (in this case 7.09) is the base, and it is multiplied by 10 with an exponent (in this case 8).

Answer:1380

Step-by-step explanation:

Answer:

X=3

Step-by-step explanation:

4x-12+1=1

4x=1-1+12

4x=12

x=12/4

x=3

Answer:

x=3

Step-by-step explanation:

Answer:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Step-by-step explanation:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Answer:

g = 5c

5*c = g

g/5 = c

Step-by-step explanation:

g = grandfather

c = carl

Answer:

The age of Carl's grandfather is a composite number.

Carl's age is a factor of the age of his grandfather.

The number 5 is a factor of the age of Carl's grandfather.

Answer:

Yessss

Step-by-step explanation:

Step-by-step explanation:

If two bags of bird seed are used to fill these three bird feeders, then we can say that;

2 bags of bird seed = 3 bird feeders

To know the amount of bird seed that each feeder use, we will say;

x bags of bird seed = 1 bird feeder

Equating both postulates and solving

2 bags of bird seed = 3 bird feeders

x bags of bird seed = 1 bird feeder

Cross multiply

3 * x = 2 * 1

3x = 2

subtract 2 from both sides

3x - 2 = 2-2

3x - 2 = 0

Hence model that represents the situation us 3x - 2 = 0 where x is the number of bird seed that each feeder use.

Next is to solve for x;

3x - 2 = 0

3x = 2

x = 2/3

Hence each feeder used 2/3 bird seed

Answer and Step-by-step explanation:

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5 + 5

5

5/5

5/5 + 5

5/5 + 5/5

5/5 + 5/5 + 5/5

5/5 + 5/5 + 5/5 + 5/5

5 + 5/5 + 5/5

5 + 5/5 + 5/5 + 5/5

5 + 5/5 + 5/5 + 5/5 + 5/5

5 - 5

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

Answer:

7(x+5)

Step-by-step explanation:

The greatest common factor is 7

7*x + 7*5

Factor out the 7

7(x+5)

Answer:

-5w -20

Step-by-step explanation:

(3w-8) -4(2w+3) start by removing the parentheses

3w-8-4(2w+3)

-5w-8-12 collect like terms

-5w-20 and that's how you get the answer

Answer:

the answer is A

Step-by-step explanation:

A = 4/3x-5

Answer:

Step-by-step explanation:

B

Answer:

a=2 and b=3

Step-by-step explanation:

5(2) +2(3) = 10 +6 =16

3(2) + 2(3) = 12

Answer:

You can fill 11 containers.

Step-by-step explanation:

This problem is asking you to divide 24.75 pounds among 2.25 pound holding containers.

So all you must do is divide 2.25 by 24.75. This leaves us with a quotient of 11.

3 inches i agree too 2020

Answer:

36

2×18

2×9×2

2×2×3×3

6²

=> square root of 36 =6

Answer:  

f(1) = 4  

Step-by-step explanation:

Largest output is 4, when x=1.

Answer:

The rule is

x + y ≤ 10

Step-by-step explanation:

Here, we want to write a rule that can help get solutions for the individual work hours

The number of hours for car wash is x while the number of hours for mowing lawns is y

Since he cannot work more than 10 hours, he can still work less than 10 hours

What we just have is that the addition of both working hours must not be over 10

So the rule to write is;

x + y ≤ 10

Answer:

need this as quick as possible pls

Step-by-step explanation:

Answer:

[tex]f(-8)=-2[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=\frac{x}{4}[/tex]

And we want to find f(-8).

So, simply substitute -8 for x. This yields:

[tex]f(-8)=\frac{-8}{2}[/tex]

Divide:

[tex]f(-8)=-2[/tex]

Hence, our answer is -2.

Answer:

2x +23

Step-by-step explanation:

Let the required number be x

Twice of number = 2x

23 more than twice a number = 2x + 23

Answer:

2x + 23

Step-by-step explanation:

Let x be the number

I hope this helps!

Step-by-step explanation:

4x^2 + 20 = 0

divide 4 throughout:

x^2 + 5 = 0

x^2 = -5

x = ±√-5

However, you can't square root a negative number as it is a complex number / imaginary number hence you would want to conclude it as "no solution"