how to use coordinates to compute the distance between two points on the coordinate plane

The expression can be rewrite as [tex](4\times6)+(5\times6)[/tex] using distributive property.

Use this property of multiplication rather than addition when you need to multiply a number by the sum of two numbers.

Let's use properties to calculate given  expression. The number 6 is divided by two addends. Simply put , multiply each summand by 6 and add the products together.

By using distributive property , we get

[tex](4+5)6=(4\times6)+(5\times6)[/tex]

Learn more about distributive property here :

https://brainly.com/question/2807928

#SPJ9

Answer:

18

Step-by-step explanation:

Prime factorization of the numbers:

72 = 2 × 2 × 2 × 3 × 3

90 = 2 × 3 × 3 × 5

162 = 2 × 3 × 3 × 3 × 3

GCF(72, 90, 162)

= 2 × 3 × 3

= 18

Answer: 18

Step-by-step explanation:

Factors for 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

Factors for 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90

Factors for 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162

Answer:

64h^24

Step-by-step explanation:

(4h^4)^4 / 4h^-8

4^4 * h^16 / 4h^-8

64h^24

Step-by-step explanation:

as I said already in my answer to the duplicate post :

(4h⁴)⁴ = 4^1×4 × h^4×4 = 4⁴h¹⁶

for exponent of exponent we multiply.

n^-a = 1/(n^a)

1/(4h^-8) = 1/4 × h⁸

and together we get

4⁴h¹⁶ × 1/4 × h⁸ = 4³h²⁴

Answer:

Step-by-step explanation:

=-4z-2

The perimeter of the triangle formed by the points B(7,-9), C(7,-2) and D(0,0) is 25.68 square units.

Perimeter is defined as the distance or the enclosed path that surrounds the 2-D shapes or polygon. The perimeter of a triangle is the sum of all the three sides of a triangle.

The perimeter of a triangle formed by the points B(7,-9), C(7,-2) and D(0,0) can be determined by finding the distance between two points.

The distance between two points A(x1,y1) and B(x2,y2).

√[(x2-x1)²+(y2-y1)²]

Therefore, BC = √(7-7)²+(-2+9)²

BC = √49

BC = 7 square units.

and CD = √(0-7)²+(0+2)²

CD = √53

CD = 7.28 square units.

and DB = √(7-0)²+(-9-0)²

DB = √130

DB = 11.40 square units.

Therefore, perimeter of triangle formed from given points is BC+CD+DB =  7+7.28+11.40 = 25.68 square units.

Learn more about Perimeter at:

brainly.com/question/12202054

#SPJ4

Answer:

Step-by-step explanation:

Your answer is D because the number is irrational to start, and therefore will be irrational if divided by a rational number.

Answer:960

Step-by-step explanation:

cheap answer, to get the x-intercepts, set x = 0 and solve for "y", to get the y-intercept, set y = 0 and solve for "x".

[tex]y-6=4(x+5) \\\\[-0.35em] ~\dotfill\\\\ y-6=4(\stackrel{x}{0}+5)\implies y-6=20\implies y=26~\hfill \stackrel{y-intercept}{(0~~,~~26)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}-6=4(x+5)\implies -6=4x+20\implies -26=4x \\\\\\ \cfrac{-26}{4}=x \implies -\cfrac{13}{2}=x\implies -6\frac{1}{2}=x ~\hfill \stackrel{x-intercept}{\left( -6\frac{1}{2}~~,~~0 \right)}[/tex]

Answer:

I don't think this is possible to solve,

Step-by-step explanation:

Answer:

√.5, 20%, |-0.5|, 17

Step-by-step explanation:

√.5 = -0.5,  

20% = 0.2,

|-0.5| = 0.5,

17 =  17

All the factor pairs are given using the grids:

So,

(Refer to the grids given below)

Therefore, all the factor pairs are given using the grids:

Know more about factor pairs here:

https://brainly.com/question/302477

#SPJ9

The slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

According to the question.

A line passes through the two points (-2, 5) and (6, -4).

As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

So, the slope of the line = -4 -5/(6 + 2) = -9/8

And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by

y = (-9/8)x + b

Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.

⇒ 5 = (-9/8)(-2) + b

⇒ 5 = 9/4 + b

⇒ b = 5 - 9/4

⇒ b = (20 - 9)/4

⇒ b = 11/4

Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

Find out more information about slope intercept form of a line here:

https://brainly.com/question/9682526

#SPJ4

The value of x from the expression given is - 5

Algebraic expressions are expressions composed of variables, terms, factors, coefficients and constants.

They are also made up of mathematical operations such as addition, subtraction, division, multiplication, etc.

Given the expression, let's find the value of x

3(x + 1) = 2(x - 1)

Expand the bracket

3x + 3 = 2x - 2

collect like terms

3x - 2x = -2 - 3

Subtract like terms

x = - 5

Thus, the value of x from the expression given is - 5

Learn more about algebraic expressions here:

https://brainly.com/question/723406

#SPJ1

the probability of drawing 2 red marbles from the bag will be 0.0455.

Number of Red marbles = 3

Number of blue marbles = 5

Number of green marbles = 4

Total marbles = 3 + 5 + 4 = 12

Probability of drawing 2 red marbles from the bag will be:

P = 3 / 12 × 2 / 11

P = 6 / 132

P = 3 / 66

P = 1 / 22

P = 0.0455

Therefore, the probability of drawing 2 red marbles from the bag will be 0.0455.

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ9

Answer: It is m<U = 60 and m<V = 120 (x = 20)

Step-by-step explanation:

1. We know that these 2 angles are supplementary, which means both adds up to 180 degrees.

2. So first, we do this:
             3x + 2(m<U) = 180
          2a. We do this to find m<U

3. We can also notice that 3x is m<U, so substituting m<U with 3x makes sense. 3x + 2(3x) = 180

4. We then simplify:
3x + 6x = 180
9x = 180

5. We will then divide:
x = 20

6. With the new found info, we substitute x with 20:
m<U = 3(20)
m<V = 2(3(20))

7. Doing the math, it becomes:
m<U = 60
m<V = 120

(i) You can add both up if you want to make sure, but it is correct

We get the reflection of points T, U and V as T' = (0, 2), U' = (0, 1) and V' = (0, 4) over the x- axis.

We are given some coordinates:

T(0, - 2), U(2, - 1), V(3, - 4)

We have to first plot them on a graph.

Now, we have to reflect them over x - axis.

To reflect over x- axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

For point T:

Additive inverse of - 2 = 2

T' = (0, 2)

For point U:

Additive inverse of - 1 = 1

U' = (0, 1)

For point V:

Additive inverse of - 4 = 4

V' = (0, 4)

Therefore, we get the reflection of points T, U and V as T' = (0, 2), U' = (0, 1) and V' = (0, 4) over the x- axis.

Learn more about reflection of points here:

https://brainly.com/question/1908648

#SPJ9

Answer: d)

-10 + 15 = 5

Answer:

D. 5

Step-by-step explanation:

-10 + 15 Can be rewritten as 15-10

15-10=5

The answer is 5.

Hope this helps!

Please mark as brainliest if correct!

The vertical height of the rocket at the end of the third stage is 83.2 km.

We are provided that the rocket travels first 10 km vertically up (OA), then the rocket travels for 20 km (AC) at an angle of  15° from point A.

Let rocket travels 'a' distance vertically up(AB) during this,

then, rocket travels for travels for 60 km (CD) at an angle of  26° from point C.

Let rocket travels ' b' distance vertically up (BX) during this.

So,

Total Vertical Height Covered = 10 + a + b

So, According to diagram

In ΔABC

[tex]cos \ 15[/tex]° [tex]= \frac{a}{20}[/tex]

[tex]\\a = 20 * cos 15[/tex]° = 19.32km

In ΔCDE

[tex]cos \ 26[/tex]° [tex]= \frac{b}{60}[/tex]

[tex]\\b = 60 * cos 26[/tex]° = 53.9km

Since,

Total Distance = 10 + a +b

Total Distance = 10 + 19.32 + 53.9

Total Distance = 83.2 km

Therefore, Vertical height of the rocket at the end of third stage =  83.2 km

To learn more about Vertical distance here:

https://brainly.com/question/16624849

#SPJ1

Answer: 8

Step-by-step explanation: Use pemdas

3[9 - (6-3)] – 10 : Complete parentheses (6-3)

3[9 - 3] - 10 : Complete equation in parentheses

3[6] - 10 : Multiply 3 and 6

18 - 10 = 8

Answer:

8

Step-by-step explanation:

3[9 - (6-3)] – 10

3 [9 - (3)] - 10

3 (6) - 10

18 - 10

8

This problem is about "order of operations."  These are the rules we all agree upon that dictate which order we do mathematical operations.  We use the acronym PEMDAS to help remember them:

P - parentheses first, then:

E - exponents (powers, square roots, etc)

MD - multiplication and division (from left-to-right)

AS - addition and subtraction (from left-to-right)

Answer:

the angle made by that line is tangent

Answer: $0.38

Step-by-step explanation:

2.29/8=

0.38167=

0.38167=$0.38

y = -3x - 11

calculator

Answer:

-0.25

Step-by-step explanation:

1). When beginning, you need to find the least common multiple (lcm), which would be 2.

2). Divide 3 by 2 leaving you with 1.5.

3). Then divide 1.5 by 2 leaving you with -1/4.

4). Convert -1/4 into a decimal.

5). Final answer -0.25.

Answer: -0.25

Step-by-step explanation:

[tex]\displaystyle\\\frac{1}{2}-\frac{3}{4}=\\\\ \frac{1*2}{2*2} -\frac{3}{4} =\\\\\frac{2}{4} -\frac{3}{4}=\\\\ \frac{2-3}{4} =\\\\\frac{-1}{4} =\\\\-\frac{1}{4} =\\\\-0.25[/tex]

Answer:

d -2+5

Step-by-step explanation:

Answer:

I think it would be -2 +5

Step-by-step explanation:

Since one of the lines is going from 0 to -2, one number would be negative 2. Then, since the other line is going from -2 to 3 that would be a total of 5 points. I believe the answer would be -2 + 5.

Sorry if it's wrong

Have a good day

The best interpretation of the number 8.6 according to the task content is; The completion time of the reaction.

It follows from the task content that the number 8.6 as given in the task content can be agreed to be the completion time of the reaction.

This follows from the fact that, at time, s = 8.6, amount in moles, m of the reactants remaining becomes, 0 in which case, the reaction is complete.

Read more on interpretation of equations;

https://brainly.com/question/2717303

#SPJ1

There is no relationship between the number of movies and the number of sleep hours.

It is always a thing of importance to show data by the use of a scatter plot. The scatter plot must always have two axes. The vertical (y axis ) and the horizontal (x axis). It is always common to plot the independent variable on the x axis and the dependent variable on the y axis.

The scatter plot thus represented shows how one variable is related to another. In this case, we are trying to obtain how the number of sleep  hours tend to be related with the number of movies and this has been shown on the scatter plot that is shown in the question above.

It is clear from the statements in the question that the line of best fit would show that as the number of movies remained constant, the number of sleep hours decreased. This now implies that there is no relationship between the number of movies and the number of sleep hours.

Learn more about scatter plot:https://brainly.com/question/13984412

#SPJ1

Answer:

the answer is:

$90 ))

Step-by-step explanation:

100 - 10= 90

Answer:

1111101001

Step-by-step explanation:

Binary 1001 = 9. « Previous (1000) Next (1010) ».