Mathematics High School

Find the distance between the pair of points. ​(4​,1) and ​(9​,6​)

Answers

Answer 1

Answer:

5√2 or 7.07 units

Step-by-step explanation:

To find the distance between two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the given values of (4​,1) and ​(9​,6​)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - 4)² + (6 - 1)²]

Simplify the parentheses.

d = √[(5)² + (5)²]

Simplify the exponents.

d = √[25 + 25]

Add.

d = √[50]

Evaluate the radical.

5√2 or 7.07

Round the decimal.

5√2 or 7.07 units

Hope this helps!

Related Questions

TIMED TEST. HELP

The standard form of an absolute value function is fx) = a |x-h| + k. Which of the following represents the vertex?
O (-k, h)
0 (-h, k)
O (k, h)
O (h, k)

Answers

I believe it is B, k is always y, meaning -h would have to be x
The answer Is B!! Hope this helps

Someone plz help but instead of sending a link because I can’t open then can you please just tell me, thanks!

Answers

Answer:

Options A and C and F are correct.

Step-by-step explanation:

5(2+4)

5*2+5*4

5*6

Have a great day! :)

and can I please have brainliest?

Thanks!

Answer: Your answers would be 5(2+4), 5x2+5x4, and 5x6

Hope this helps you!

In 1998 there were 305 students who graduated from high school. In 2019, there were 356 students. What is the rate of change in the number of students?

1. About 1 student per year
2. about 51 students per year
3. about 2 students per year
4. about 5 students per year

Answers

Answer:

3. about 2 students per year

Step-by-step explanation:

The rate of change would be the difference in the number of students divided by the number of years passed.

So, rate of change = [tex]\frac{356-305}{2019-1998}[/tex]

= [tex]\frac{51}{21} = 2.43[/tex]

So it's around 2 students per year.

I hope this is correct and helps!

Factor completely x2 - 4x - 12

A. Prime
B. (x - 2)(x - 6)
C. (x + 2)(x - 5)
D. (x - 2)(x + 6)

can you explain how to do it? ​

Answers

Answer:

(x-6)(x+2) D

Step-by-step explanation:

first you need to see which two numbers add up to -4 and multiply to -12 which is -6 and 2

¿Cuál es el valor absoluto de 9?

Answers

Por lo que, el valor absoluto de -9 es 9. El valor absoluto de 9 es el número de unidades que está 9 del cero. Nueve está a nueve unidades de cero.

if you are smart I will give brainliest

2 + 2enty = ???

Answers

Answer:

2enty 2

Step-by-step explanation:

I think it’s 40, have a great day!!!

14, 28, 56, 112
 what is the common ratio

Answers

Answer:

2

Step-by-step explanation:

You can find the common ratio by dividing each number in the sequence from the number before it so,

28/14= 2

56/28= 2

112/56= 2

Therefore, the common ratio is 2

help me with this and ill give brainliest!

Answers

Answer:

16. 2/3, 4/6, 16,24

17. 3/7, 30/70, 300,700

18. 5/8 15/24, 10/16

Step-by-step explanation:

All you do is either multiply or divide quotient/denominator by the same number as denominator/quotient

I give up math is hard

Answers

Answer:

3, 4, 6 and 8 are true.

Step-by-step explanation:

Check out the rules in below picture.

In parallelogram ABCD, if ED = 7x - 13 and BD = 16x - 38, find BD.

Answers

Answer:

58

Step-by-step explanation:

The length of BD is 58  units.

What are properties of parallelogram?

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.

Given:

ED = 7x - 13 and BD = 16x - 38

So, the Diagonals of parallelogram bisect each other

BD = ED+ EB

16x - 38 = 2 ED   { ED= EB}

16x - 38 = 2 (7x- 13)

16x - 38 = 14x - 26

2x = 12

x= 6

So, length of BD = 16(6) - 38 = 96- 38 = 58 units

Learn more about properties of parallelogram here:

https://brainly.com/question/26651476

#SPJ2

0.0000056 rewritten as a single digit
times a power of ten becomes:

Answers

Answer:

5.6× 10^ -6

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

please help it’s urgent

Answers

Answer:

1) 12/18

2) 15/25

3) 32/40

4) 6/14

5)  8/15

6) 16/24

7. 12/27

Step-by-step explanation:

Find the area of the figure and type your result in the empty box.
3 m
2 m
4 m

Answers

Answer:

14m^2

Step-by-step explanation:

area of triangle = 1/2bh

= 1/2(3)(4) = 6

area of rectangle = bw

=(4)(2) = 8

6+8 = 14

Answer:

14m²

Step-by-step explanation:

rectangle area= 4*2=8

triangle area= 1/2*3*4=6

total area=14

Please helpppppp!!!!!!!!

Answers

Answer:

a, cube

Step-by-step explanation:

Analyze this equation.
8x−5=−1
What is the value of x ?

A. -0.75
B. -0.5
C. 0.5
D. 0.75

Answers

Answer:

C) 0.5

Step-by-step explanation:

8x-5=-1

8x=-1+5

8x=4

x=4/8

simplify

x=1/2

What is the mean of the following data set 5,9,5,2,,10

Answers

Answer:

6.2

Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

mean is equal to all the numbers in the data set added together divided by the number of numbers in the data set

Could somebody please help me on this question!

Answers

Answer:

Step-by-step explanation:

nickel, n=0.05

dime, d=0.10

0.90=0.05n+0.10d

however, n+d=15

Write 3-5 sentences about the process of the Difference of squares Factoring Method

Answers

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

Help Me please i need some help :)

Answers

A=45
Explanation:
A= a+b/2*h

if m=2 , find the value of 5-m

Answers

Answer:

5 - 2 = 3

Step-by-step explanation:

Replace m with 2 since m=2

Answer:

3

Step-by-step explanation:

If m=2, then 5 - m(2) is 3, because 5 - 2 is 3.

PLEASE HELP ILL GIVE BRAINLY

Answers

Answer:

40.2

Step-by-step explanation:

what is the slope of the equation y=2/3x-4

Answers

Answer:

2/3

Step-by-step explanation:

y=mx+b

y=2/3x-4

m=slope

b=y intercept

ill give brainliest if it's right

Find the common difference of the arithmetic sequence -11, -16, -21,...−11,−16,−21,...

Answers

Answer:

-5 is the common difference.

Step-by-step explanation:

Answer:

...... ignor this

Step-by-step explanation:

.. sjodnaknd sorry

Given the slope of the line containing the points (7 , b) and (-2 , 5) is 4/9, find the value of b​

Answers

Answer: b=9

Step-by-step explanation: To find the slope we use: y2-y1/x2-x1

Which would then be: 5-b/-2-7= 5-b/-9

Then we have to find a number for b that would give us -4 as the numerator. That number would be 9

This would give us 4/9 which is the slope we already had.

8. A rectangular prism measures 5 cm by
9.5 cm by 17.2 cm. What is the volume of the
prism?
10.
pyra
руга
the P
A. 31.7 cm3
B. 272.3cm
C. 296.9 cm3
D. 817 cm3
A. 4
B. 5
C. 1
D. 1

Answers

your answer is 817 cm3.
Anwser would be 185 or 183 due to the ryethem

The expression on the left side of an equation is shown below.

3 x + 9 = box

If the equation has no solution, which expression can be written in the box on the other side of the equation?

Answers

I got no clue how to do this bruvvvvvvvvv

What is 34 +(23 +3)-82

Answers

Answer:

-22

Step-by-step explanation:

26-82=-56

-56+34=-22

Answer:

-22

Step-by-step explanation:

34+(23+3)-82

=34+26-82

=34-56

=-22#

A cable is 60 meters long.How long is it in decimeters

Answers

Answer:

600

Step-by-step explanation:

cus

Answer:

600 decimeters

Step-by-step explanation:

60 times 10

A rectangle is 60 cm long and 20 cm wide. Find, to the nearest tenth of a degree, the acute angle formed at the intersection of the diagonals.

Answers

Answer:

36.9°

Step-by-step explanation:

As shown in the diagram attached,

θ is the acute angle formed at the intersection of the diagonals of the rectangle.

From the diagram,

tan(θ/2) = 10/30

tan(θ/2) = 1/3

θ/2 = tan⁻¹(1/3)

θ/2 = 18.43

Therefore,

θ = 18.43×2

θ = 36.87

θ = 36.9°

Hence the acute angle formed is 36.9°

If the sum of 37 and 12 x is 286, what is the value of x?

Answers

Answer:

x = 20.75

Step-by-step explanation:

37 + 12x = 286    <-- Subtract 37

12x = 249     <-- Divide by 12

x = 20.75

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