use the substitution method to solve the system of equations choose the correct ordered pair. 2x+2y=16 y=x-4

Answer:

Length of AB is 12

Step-by-step explanation:

Here, we are concerned with finding the full length of line AB, given the distance between the midpoint of the line AB and the point B itself

What this means is that, the distance of the halfway of the full length is 6

So the total distance would be twice the halfway distance

So if the halfway distance is 6, then the full distance would be 6 * 2 = 12

So the length of AB = 12

Answer:

2x-30

Step-by-step explanation:

Expand: 7x-5x-30

=2x-30

Answer:

c= 7/3

Step-by-step explanation:

To solve for c:

Simplify the equation by moving all numbers to one side and variables to the other

    -9c-4=-25

    -9c= -25+4

    -9c=-21

Now isolate c by dividing both sides by its coefficient (-9)

      c= -21/-9

Since the (-) cancel out, this simplifies to:

      c= 21/9

Now reduce the fraction by dividing the right hand side by a common value of 3:

      c= 7/3

Answer:

Step-by-step explanation:

the shape is a trpizoid with height y

A=(a+b)/2 *h (a=2x=4cm, h=y=4cm, b=2z=12 cm

A=(4+12)/2 * 4

Area=16/2 *4=8*4= 32 cm²

Answer:

24 Centimeters

Step-by-step explanation:

what you want to do is split it up, make two triangles (the sides), and one big square. The square has the dimensions 4 by 4 which has the area of 16. The two triangles have the dimensions 2 by 4, which would be 4 and because there are two, the triangles equal 8. 16+8=24

Hope this helps. :)

Step-by-step explanation:

1/3 and 5/2 can be shown as:

points with 1/6 interval on the number line:

0, 1/6, 2/6, 3/6, 4/6, ..., 15/6

Answer: 380[tex]cm^{2}[/tex]

Step-by-step explanation:

Area of triangle= 14 x 10 = 140

140/2 = 70

4 triangles= 70 x 4 = 280

Area of the square= 10 x 10 = 100

Total surface area= 280 + 100 = 380[tex]cm^{2}[/tex]

hello fellow army :)

Answer:

40.39

Step-by-step explanation:

35% discount off 55 is 19.25

$35.75 is the answer

to calculate the tax its 13% rate in your area or what ever

1.13 x 35.75 = 40.39

Answer:

Step-by-step explanation:

If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.

If we introduce a constant of proportionality, k , the relationship would be

t = kg

Given that

When t = 18, g = 10, then

18 = k × 10

k = 18/10 = 1.8

Therefore, the equation representing the relationship is

t = 1.8g

Answer:

answer is a

Step-by-step explanation:

Answer:

The slope is -9/2 and the y intercept is 28

Step-by-step explanation:

We want to put this in slope intercept form

y = mx+b where m is the slope and b is the y intercept

18x + 4y = 112

Subtract 18x from each side

18x+4y-18x = -18x+112

4y = -18x+112

Divide each side by 4

4y/4 = -18x/4 +112/4

y = -9/2x + 28

The slope is -9/2 and the y intercept is 28

Answer: D)-9/2; 28

Step-by-step explanation:

Answer:

[tex]\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right[/tex]

Step-by-step explanation:

The coordinates are:

[tex]\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right[/tex]

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

Using Distance Formula

[tex]AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units[/tex]

[tex]CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units[/tex]

[tex]AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units[/tex]

[tex]BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units[/tex]

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

Step-by-step explanation:

530pm = 17:50 in 24hr/military time

915pm = 21:15 in 24hr/military time

therefore..

24hr/military time. 21:15 - 17:50 = 3.65hr

our time. 3hr 45min

It took Sarah 3 hours and 45 minutes to finish her homework

The answer in 24 hour clock system is 3:45

The calculation can be done as follows

Sarah started her home work at 5:30 pm

She finished at 9:15pm

The time range here is 3 hours, 45 minutes

Please see the link below for more information

https://brainly.com/question/24991186?referrer=searchResults

Answer:

The center is (-7,-8) and the radius is sqrt (2/3)

Step-by-step explanation:

( x + 7 )^ 2 + ( y + 8 ) ^2 = 4 /6

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Rewriting

( x - -7 )^ 2 + ( y - -8 )^ 2 = (sqrt(2/3)^2

The center is (-7,-8) and the radius is sqrt (2/3)

Answer:

center:    (-7,-8)         radius: 2/3

Step-by-step explanation:

i got this from wegnerkolmp2741o. thank you wegnerkolmp2741o!!!!!

also got this correct on khan academy

Answer:

9 squared units

Step-by-step explanation:

The area of a parallelogram is base × height.

b × h

= 3 × 3

= 9

Answer:

9 square units

Step-by-step explanation:

Answer:

Solution,

[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\ = 7 \sqrt[3]{2x} - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x} - 3 \times \sqrt[3]{2 \times 2 \times 2x} \\ = 7 \sqrt[3]{2x} - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 3 \times 2 \times \sqrt[3]{2x} - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

[tex]e=-2[/tex]

Step-by-step explanation:

Given: [tex]0.75(8+e)=2-1.25e[/tex]

Step 1: Distribute the Left-Hand Side

[tex]0.75*8+0.75*e=2-1.25e\\6+0.75e=2-1.25e[/tex]

Step 2: Collect like terms

[tex]0.75e+1.25e=2-6\\2e=-4[/tex]

Step 3: Divide both sides by 2

[tex]e=-2[/tex]

Answer:

E=-2

Step-by-step explanation:

I got this right on Khan!

Hope this helps! ;)

Answer:

Answers are below

Step-by-step explanation:

1. List all possible outcomes

HHH HHT  HTH  HTT  TTT  THH  THT  TTH  

2. The probability of tossing 2 tails and 1 head is 3/8.

3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 1 tail.

Answer:[tex]\color{yellow}{}[/tex]

1. List all possible outcome

HHH HHT HTH HTT TTT THH THT TTH

2. The probability of tossing 2 tails and 1 head is 3/8

3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 2 tail.

Answer:

Option 1

Step-by-step explanation:

=> [tex]x^2-4x+2 = 10[/tex]

Adding 2 to both sides to complete the square

=> [tex]x^2-4x+4 = 12[/tex]

Completing the square

=> [tex](x-2)^2= 12[/tex]

Answer:

Step-by-step explanation:

exact form:

x=+2\sqrt(3+2)

decimal form:

x=5.46410161

In the sequence 5,10,20,40,80.. I can see that it is doubled each time.

Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.

Good luck! Stay safe!

- Eli <3

Answer:

[tex] \boxed{\boxed{\huge \sf D. \ \frac{5x - 12}{(x + 3)(x - 3)}}} [/tex]

Step-by-step explanation:

[tex] \sf Summation \: of \: following : \\ \sf \implies \frac{3}{ {x}^{2} - 9} + \frac{5}{x + 3} \\ \\ \sf {x}^{2} - 9 = {x}^{2} - {3}^{2} : \\ \sf \implies \frac{3}{ {x}^{2} - \boxed{ \sf {3}^{2} }} + \frac{5}{x + 3} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {x}^{2} - {3}^{2} = (x + 3)(x - 3) : \\ \sf \implies \frac{3}{ \boxed{ \sf (x + 3)(x - 3)}} + \frac{5}{x + 3} \\ \\ \sf Put \: each \: term \: in \: \frac{3}{(x + 3)(x - 3)} + \frac{5}{x + 3} over \\ \sf the \: common \: denominator \: (x + 3)(x - 3) : \\ \sf \implies \frac{3}{(x + 3)(x - 3)} + \frac{5(x - 3)}{(x + 3)(x - 3)} \\ \\ \sf \frac{3}{(x + 3)(x - 3)} + \frac{5(x - 3)}{(x + 3)(x - 3)} = \frac{5(x - 3) + 3}{(x + 3)(x - 3)} : \\ \sf \implies \frac{5(x - 3) + 3}{(x + 3)(x - 3)}[/tex]

[tex] \sf 5(x - 3) = 5x - 15 : \\ \sf \implies \frac{ \boxed{ \sf 5x - 15} + 3}{(x + 3)(x - 3)} \\ \\ \sf Grouping \: like \: terms, \: 5x - 15 + 3 = 5x + (3 - 15) : \\ \sf \implies \frac{ \boxed{ \sf 5x + (3 - 15)}}{(x + 3)(x - 3)} \\ \\ \sf 3 - 15 = - 12 : \\ \sf \implies \frac{5x - 12}{(x + 3)(x - 3)} [/tex]

Answer:

The correct option is;

Exponential function 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

Step-by-step explanation:

The given functions are;

f(x) = 2x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 6, 10, 14, 18

f(x) = 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

f(x) = 2·x² + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 10, 34, 74, 130

f(x) = 3·x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 8, 14, 20, 26

By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2

Answer: The answer is B on edg

Step-by-step explanation:

Answer:b=-43.38

Step-by-step explanation:

Answer:

The answer is explained below

Step-by-step explanation:

I am going to list a series of points where it is important to learn how to perform matrix operations.

1. The first and most important is that calculators may not always be available, and even if you do have them there will be cases where they won't let you use them.

2. By performing the operation by hand it will allow you to understand the process in a better way, such as finding an inverse, if you do this with a calculator you will most likely not know what was done.

3. Although it seems basic, some calculators cannot display the elements of a matrix as fractions, which is important to understand the process.

4. There are special cases such as when an array could contain a variable and the calculator could not be used in this case.

5. Although in most cases the calculator can help us get out of the operation quickly, sometimes it is faster at hand and, most importantly, when performing the step by step, you understand the entire operation better.

INCLUDE:

Calculators may not always be available.

Finding an inverse by hand allows me to understand the process.

Calculators may not show the elements of a matrix as fractions.

Sometimes it is faster by hand.

A matrix could contain a variable.

Answer:

x = 6

Step-by-step explanation:

For this, we simply can use similar triangles to build proportions to find the value of x.

The base of one triangle is 4 with a hypotenuse of x.

The base of the second triangle is x with a hypotenuse of 4+5.

Hence, we can build this proportion:

x/9 = 4/x

Now we solve for x in this proportion:

x/9 = 4/x

x * x = 9 * 4

x^2 = 36

x = 6

Now we know the value of x=6.

Cheers.

Answer:

Certain.

Step-by-step explanation:

When the probability of choosing an apple-flavored juice box without looking is 1, that means you have a 100% chance of getting it. There's no way you can miss, so it is certain.

Hope this helps!

Answer:

certain

Step-by-step explanation:

since the outcome is a 100% the answer is certain

Answer:

x = 5.5

EF = 14

Step-by-step explanation:

We can use ratios to solve

AG                  7

----------- =  -----------------

EG                   2x+3

We know that EG is 2 times AG since A is the midpoint

AG                  7

----------- =  -----------------

2 AG                   2x+3

Canceling like terms

1                  7

----------- =  -----------------

2                    2x+3

Using cross products

1 (2x+3) = 2*7

2x+3 = 14

Subtract 3 from each side

2x+3-3 = 14-3

2x =11

Divide by 2

x = 11/2

x = 5.5

EF = 2x+3 = 2*5.5+3 = 14

Answer: a = 3∛2

Step-by-step explanation:

ab⁴ = 384     --> a = 384/b⁴

Substitute a = 384/b⁴ into the second equation to solve for "b".

   a²b⁵ = 4608

[tex]\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b[/tex]

Substitute b = 2∛4 into the first equation to solve for "a".

ab⁴ = 384

a(2∛4)⁴ = 384

        a  = 384/(2∛4)⁴

        a = 24/4∛4

           = 6/∛4

           = 6(∛2)/2

           = 3∛2

Answer:

? = 44 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

tan ? = 46/48

Take the inverse tan of each side

tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)

   ? = 43.78112476

To the nearest degree

? = 44 degrees

Answer:

Variable

Step-by-step explanation:

A variable is a letter or symbol used as a placeholder for an unknown value in an expression or equation.

Hope this helps..

Good Luck!

Answer:

variable

Step-by-step explanation:

A symbol use to represent an unknown value in an expression or an equation is called a variable.

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y  

1/5x - 2/3(15) = 30

multiply  

1/5x - 10 = 30

isolate the variable  

1/5x = 40

multiply each side by 5  

x = 200

Answer:

x = 200

Step-by-step explanation:

1/5x - 2/3y = 30

Put y as 15 and evaluate.

1/5x - 2/3(15) = 30

1/5x - 30/3 = 30

1/5x - 10 = 30

Add 10 on both sides.

1/5x = 40

Multiply both sides by 5.

x = 200

Answer:

x ≈ - 5.32 , x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4, that is

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Thus

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )

Answer:

x=-5.32 or x=1.32