What is the difference between points a (1,2) and b (9,17)

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

-distance formula: d = √((x_2 - x_1)^2 + (y_2-y_1)^2)

(1,2) is (x_(1) , y_(1)) respectively

(9,17) is x_(2) , y_(2) respectively

-plug in the values to the formula

\sqrt (9-1)^(2) +(17-2)^(2) \n\sqrt 8^(2) +15^2\n\sqrt 64 + 225\n\sqrt 289\n\n17


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The perimeter of Jonah's square backyard is 56 meters. What is the area of Jonah's backyard?

Answers

Answer:

area of Jonah's backyard is, 196 meter square

Step-by-step explanation:

Perimeter(P) of square is given by:

P =4a

where a is the side of thew square

As per the statement:

The perimeter of Jonah's square backyard is 56 meters

P = 56 m

Using the perimeter formula to solve for a:

56 =4a

Divide both sides by 4 we have;

14 =a

or

a = 14 m

Area of a square(A) is given by:

A = a^2

Substitute the given value of a = 14 m to get area;

A = 14^2 = 196 m^2

Therefore, the the area of Jonah's backyard is, 196 meter square

56 / 4 = 14

14 x 14 =196msquared

Use the temperature box-and-whisker plot to solve. What is the range of each of the four quarters of data?





A.


first quarter: 2
second quarter:10
third quarter: 15
fourth quarter: 18


B.


first quarter: 2
second quarter: 8
third quarter: 5
fourth quarter: 3


C.


first quarter: 3
second quarter: 8
third quarter: 5
fourth quarter: 2


D.


first quarter: 3
second quarter: 8
third quarter: 16
fourth quarter: 18

Answers


the answer is B

because it is 2 degrees increase from 12 to 14, then from 14 to 22 is 8 degrees, then 5 more until 27, and so on.

True or False: For the depreciation formula, A = C(1 - r)t, the A value will always be greater than the C value.

Answers

Answer: False

"Depreciating" means "going down", so the value is decreasing. The value of A will always be smaller than C. For example, if the item is worth $100 today and it drops to $80, then it depreciates in value. In this example, C = 100 and A = 80 so A > C is false

Please help me! Explain why Hank's reasoning is not correct.
Hank: The y-intercept of a linear function is the same as the first term of an arithmetic sequence.

Answers

Hank's reasoning is being questioned for assuming that all sequences start with 1 and that the y-intercept of a linear function is always at x=0.

Given that,

Hank's reasoning is being discussed.

The claim is that Hank's reasoning is incorrect.

The reasoning involves sequences that begin with the term number 1, where x=1.

By convention,

The first term of a sequence starts with n = 1 instead of n = 0.

This is so n = 1 matches with 1st,

n = 2 matches with 2nd, and so on.

In contrast,

The y-intercept always occurs when x = 0.

So y = 3x+5 has a y-intercept of 5 when you plug in x = 0.

An arithmetic sequence:

f(n) = 2n+7 has its first term when n = 1.

So, the first term would be f(1) = 2(1)+7=9 instead of 7 as Hank claims.

To learn more about a function visit:

brainly.com/question/8892191

#SPJ3

The complete question is:

Hank's reasoning is incorrect because all sequences begin with the term number 1, which translates to x=1.

The y-intercept of a linear function is when x=0.

By convention, the first term of a sequence starts with n = 1 instead of n = 0. This is so n = 1 matches with 1st, n = 2 matches with 2nd, and so on.

In contrast, the y intercept always occurs when x = 0. So something like y = 3x+5 has a y intercept of 5 when you plug in x = 0.

An arithmetic sequence like f(n) = 2n+7 has its first term when n = 1. So the first term would be f(1) = 2(1)+7 = 9 instead of 7 as Hank claims.

what is the solution to the system of equations? y =1/3 x – 10 2x y = 4 (–8, 6) (–6, 16) (6, –8) (16, –6)

Answers

Answer:

Option C is correct.

Solution to the given system of equation is (6 , -8)

Step-by-step explanation:

Given the system of equation:

y= (1)/(3) x-10             ......[1]

2x+y =4                           .....[2]

Substitute the equation [1] in [2] we get;

2x +(1)/(3)x -10 =4

Combine like terms;

(7)/(3)x -10 =4

Add 10 to both side of an equation:

(7)/(3)x -10 +10=4+10

Simplify:

(7)/(3)x =14

Divide both sides by  (3)/(7) we get;

(3)/(7) * (7)/(3)x = 14 * (3)/(7)

Simplify:

x = 6

Substitute the value of x =6 in equation [1] we get;

y= (1)/(3)(6)-10

or

y= 2-10  

Simplify:

y = - 8

therefore, the solution to the given system of equation is; (6 , -8)

You can also see in the graph as shown below:

y = 1/3 x - 10
2x + y = 4
2x + 1/3 x - 10 = 4
7/3 x = 14
x = 6
y = 1/3(6) - 10 = 2 - 10 = -8
Therefore solution is (6, -8)

The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number?

Answers

Let x = the ones digit
Let y = the tens digit

x+2y=12
x=2y
x+y=12 substitute x for 2y to get:
(2y)+y=12 add like terms to get:
3y=12
3y=12 divide both sides by 3 to get:
y=4
x+y=12 substitute y for 4 to get:
x+4=12 subtract 4 from both sides to get:
x=8
so if x=ones
and y=tens
then the answer is 48
Let there be two variables: t and o where t is for ten digit and o is for one digit:

So we have two equations:
t = 2o                           (1)
t+o = 12                       (2)

Subtract (2) from (1) and we get o = 12-2o

Now solve for o:

3o = 12

o = 4

Now plug in (1) or (2) and we have t = 8

Therefore our number is 10t + o = 84