Find each difference.

a. 9−4

b. 4−9

c. 9−(-4)

d. -9−(-4)

e. -9−4

f. 4−(-9)

g. -4−(-9)

h. -4−9

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

For a shape to be a parallelogram, the angles that are across from one another have to be equal.

We can now find x by making both equations equal to each other and solving.

[tex]11x+1=13x-5[/tex]

Solve.

[tex]11x+1=13x-5\\6=2x\\x=3[/tex]

Answer:

Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]

Approximate Distance = 2.529822

============================================

Explanation:

This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.

First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.

Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.

For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.

Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.

So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get

3x-y = 3(-3)-2 = -9-2 = -11. So D = -11

The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.

At this point, we have this system of equations

x+3y = 11

3x-y = -11

Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)

The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)

The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]

I'm skipping steps because listing everything out would take up way too much space in my opinion.

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The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.

Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]

In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.

Also, we'll use (m,n) = (-3,2) which are the coordinates of point H

From here it's a fairly straightforward computation

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]

Optionally we can rationalize the denominator like so

[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]

There are different ways to write down the answer, but they all represent the same number.

Answer:

2) Mia needs to buy 3 packages of noisemakers

3)Mia needs to buy 4 packages of hats

4)Mia will dpend a total of $66

Answer:

158 natural numbers from 78 to 234, and 699 whole numbers from 24 to 721.

Step-by-step explanation:

Natural numbers are positive integers (whole numbers), so all numbers from the range of 78 to 234 would be included, including 78 and 234 itself. That is 158 natural numbers. Whole numbers are numbers without a fraction or decimal, they are integers. So all numbers from 24 to 721 would be included, as well as 24 and 721 itself. That is 699 whole numbers from 24 to 721. Hope this helps.

Answer:

157 for natrual numbers

Step-by-step explanation:

234-77

Answer:

A

Step-by-step explanation:

not sure gusto ko lang tumulong

Answer:

g = 2d - 8

g + d = 46

Answer:

Wyatt I'm pretty sure so D

Step-by-step explanation:

Answer:

The range of values for the third side is that;

x < 91

Step-by-step explanation:

For us to have a triangle formed, the length of the third side is smaller than the sum of the length of the two other sides

Mathematically;

Let us call the third side x

x < 52 + 39

x < 91

Answer:

$2 per mile

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 5)

Point (4, 9)

Step 2: Find slope m

Answer:

I would say A?

Step-by-step explanation:

if i'm not right im sorry :(

Answer:

$162.50

Step-by-step explanation:

X = (14.50*5) + (18*5)

x = 72.50 + 90

x = 162.50

Answer:

(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7

The y-intercept is positive 15

Answer:  y = 5

using pythagoras theorem

Step-by-step explanation:

If y = 5  there is sufficient information to show that triangle ABC = triangle DEF using the Pythagoras theorem.

Answer:

are you really struggling well just go to sleep

Step-by-step explanation:

hahahahaha

Answer: (b + 3)/2

[tex]\frac{b-5}{2b}.\frac{b^{2}+3b }{b-5}=\frac{b^{2}+3b }{2b}=\frac{b(b+3)}{2b}=\frac{b+3}{2}[/tex]

Step-by-step explanation:

Answer:

(b + 3)/2

Step-by-step explanation:

Answer:

10.53%

Step-by-step explanation:

The first step is to divide 2 by 19 to get the answer in decimal form: 2 / 19 = 0.1053 Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.1053 * 100 = 10.53%

Answer:

11%

Step-by-step explanation:

Divide 2 by 19 and then move the decimal place twice to the right. It should be 10.5 but if rounded it becomes 11 so 11%

Answer:

idu it, the question but the euqation is x= -2y - 433 / 2 -5

Step-by-step explanation:

The radius of the circle is 4 units

The equation of the circle is given as:

(x + 5)^2 + (y - 3)^2 = 4^2

The general equation of a circle is given as:

(x - a)^2 + (y - b)^2 = r^2

Where r represents the radius

By comparing both equations, we have:

r^2 = 4^2

Take the square root of both sides

r = 4

Hence, the radius of the circle is 4 units

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

46800

Step-by-step explanation:

10x15x24x13=46800

Answer:

Rate Of Change= 7

Step-by-step explanation:

all you have to do is see the difference, imma make a table here first

x       y

1       10

3      24

6      45

11      80

15    108

from 10 to 24 you add 14

from 1 to 3 you add 2

so y/x

14/ 2 = 7

check:

from 24 to 45 you add 21

from 3 to 6 you add 3

so y/x

21/3 = 7

From y/x your final answer will always be 7.

So the rate of change will be 7.

Hope this helped a little!

Answer:

x=102

Step-by-step explanation:

Answer:

-12, decreasing

Step-by-step explanation:

you can graph it if its confusing to understand. if you graph it and put a line to the points, you can see that the line is going down at a rate of -12

Answer:

-12 decreasing

Step-by-step explanation:

Answer:

x =16

Step-by-step explanation:

-x+4=-12

 -4    -4

-x=-16

/-    /-

x=16

Answer:

x=16

Step-by-step explanation:

-x+4=-12

Subtract 4 from -12 ( -16 )

Divide

-x/-16 ( 16 )

x=16

Answer:

52

Step-by-step explanation:

To solve, use the Pythagorean Theorem, which says c² = a² + b². Enter 20 as a and 48 as b and square them both. This will give you 400 for a, and 2304 as b. Add them to get 2704. So, c² = 2704. Find the square root of this to get 52. So, the third side is 52 in length.

Answer:

The measure of the 2 angles are 90° and 35°.

Step-by-step explanation:

The sum of angles in a triangle is 180°.

2x + x - 10 + 55 = 180

Simplify.

3x + 45 = 180

Find 3x.

3x = 180 - 45

    = 135

Find x.

x = 135 ÷ 3

x = 45

2x° = 45° × 2

     = 90°

(x-10)° = 45° - 10°

          = 35°

Answer: x=45

Step-by-step explanation:

2 times 45 is equal to 90

45-10 is equal to 35

55+90+35=180

Answer:

The length and width of the rectangle are: [tex]\mathbf{2x^5y^8\:and\: 12xy^7}[/tex]

Option A is correct.

Step-by-step explanation:

We are given: [tex]Area\:of\:rectangle=Length\times Width[/tex]

if [tex]Area = 24x^6y^{15}[/tex]we need to find the length and width of rectangle from options given.

Looking at the options, Option B,C and D are incorrect because multiplying the given lengths and widths, the area is not equal to [tex]24x^6y^{15}[/tex]

Only Option A gives us the result i,e

[tex]Area=2x^5y^8\times 12xy^7\\Area=24x^6y^{15}[/tex]

So, the length and width of the rectangle are: [tex]\mathbf{2x^5y^8\:and\: 12xy^7}[/tex]

Option A is correct.

Answer: Translate GHJ by the directed line segment GS. Rotate G'H'J' using T as the center by angle H'TS. Reflect G"H"J" over ST

Step-by-step explanation: