Solve by substitution 4y=2x and 2x+y=x/2+1

Answer:

When we are dividing exponents, there is this rule:

[tex]\frac{a^n}{a^m}=a^{(n-m)}[/tex]

So, in our case we have this:

[tex]\frac{16a^5b^3}{8ab} = \frac{16}{8}a^{(5-1)}b^{(3-1)}[/tex][tex]=2a^4b^2[/tex]

Answer:

38°

Step-by-step explanation:

<ABD and <DBC are two interior angles that make up <ABC.

Based on the Angle Addition Theorem, the following equation can be used to find m<DBC:

[tex] (3x + 5) + (6x - 16) = 70 [/tex]

Find x

[tex] 3x + 5 + 6x - 16 = 70 [/tex]

[tex] 9x - 11 = 70 [/tex]

[tex] 9x = 70 + 11 [/tex]

[tex] 9x = 81 [/tex]

[tex]x = \frac{81}{9} [/tex]

[tex] x = 9 [/tex]

We are given that, m<DBC = (6x - 16)°

Plug in the value of x to find the measure

m<DBC = 6(9) - 16 = 54 - 16 = 38°

Answer:

-6

Step-by-step explanation:

you multiply (3)x(-2). a negative times a positive is a negative. so you get -6

Answer:

Base = 16cm

Height = 7cm

Answer:

base = 16 cm

height = 7 cm

Step-by-step explanation:

area of a rectangle = base (b) x height (h)

base (b) = 9 + h

area = 112 cm²

plug in values:

112 = (9 + h) * h

112 = 9h + h²

h² + 9h - 112 = 0

h can be solved using quadratic equation

       -9 ± √ (9² - 4 (1) (-112))

h = --------------------------------------

                        2

     -9 ± √529

h = ----------------

            2

h = 7  ;    h = -16

therefore  the height of  a rectangle (h) = 7 cm

solve for base (b)

base (b) = 9 + h

base (b) = 9 + 7

base (b) = 16 cm

proof:

area of a rectangle = base (b) x height (h)

112 = 16 * 7

112 = 112 ---- ok

Answer:

50mph

Step-by-step explanation:

Answer:

assuming that 1 square is 1 ft, 22ft²

Step-by-step explanation:

4 + 8 + 10 = 22

Answer:

22cm²

Step-by-step explanation:

1 unit square = 1cm

Number of unit squares = 22

Area of square = side × side

=( 1×1) cm

Area of 1 unit square = 1cm²

Area of 22 unit squares = 22cm²

Hope it helps.

Answer:

$7.26

Step-by-step explanation:

[tex]10\$ - \$2.74\\\\= \$7.26[/tex]

The amount of the money that she get back in change will be $7.26.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Juliette bought a bag of gummy bears that cost $2.74.

She gave the clerk $10.

Then the amount of the money that she get back in change will be

⇒ $10 – $2.74

⇒ $7.26

More about the subtraction link is given below.

https://brainly.com/question/4319655

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Answer:

Step-by-step explanation: Let the unknown no be x

1.

[tex]\frac{1}{3}\times x +27\\\\\frac{1}{3} x +27[/tex]

2.

[tex]x^2 \times 4\\\\= 4x^2[/tex]

3. The sum of the product and of 5 and a cubed number and 9

Answer:

AC = 22

Step-by-step explanation:

Given that B is the midpoint of AC , then AB = BC , that is

2x + 1 = 5x - 14 ( subtract 2x from both sides )

1 = 3x - 14 ( add 14 to both sides )

15 = 3x ( divide both sides by 3 )

5 = x

Thus

AC = AB + BC = 2x + 1 + 5x - 14 = 7x - 13 = 7(5) - 13 = 35 - 13 = 22

Answer: OPTION 3 10i

Step-by-step explanation:

First of all, you need to know about imaginary number, or i.

i (imaginary number)= √-1

---------------------------------------------------------

√-100=√100 × √-1 ⇔ This splitting up √-100 to make it easier for you to understand.

√-1=i ⇔ As mentioned before of the concept of imaginary number

√100= 10 ⇔ It is a perfect square

√-100=√100 × √-1

√-100=10 × i

√-100=10i

Hope this helps!! :)

Please let me know if you have any question

Answer:

x cannot equal 3

Step-by-step explanation:

you cannot have a zero on the denominator so when the denominator equal zero, thats your domain restriction.

Answer:

[tex]8^{\frac{8}{3}}[/tex]

Step-by-step explanation:

Rule of Exponents: [tex](r^n)^m=r^{m(n)}[/tex]

Simply multiply the powers together:

2/3(4) = 8/3

[tex]8^{\frac{8}{3}}[/tex]

Answer:

Its 8 and eight-thirds

Step-by-step explanation:

Answer:

"At least" implies "greater or equal to".

Step-by-step explanation:

[tex]-\frac{7}{10} \geq (2k -4)\\[/tex]

The value of the variable k is greater than or equal to 33 / 20.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

-7/10 is at least twice a number k minus 4. Then the inequality is given as,

- 7/10 ≥ 2k - 4

Simplify the inequality, then the value of the variable k will be

- 7 / 10 ≥ 2k - 4

4 - 7/10 ≥ 2k

33 / 10 ≥ 2k

33 / 20 ≥ k

The value of the variable k is greater than or equal to 33 / 20.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

A point (r, s) on the graph of w(x) moves to (r + 19, s).

Step-by-step explanation:

May be wrong, haven’t checked yet

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5 - 10i}}}}}[/tex]

Step-by-step explanation:

There are two methods to find out the addition and subtraction of algebraic expressions. In horizontal method, expressions are arranged in same row and put sign for addition or sign for subtraction and remove the bracket and then simplify. In vertical method, expressions are arranged in different rows such that like terms are in same volume and unlike in different columns and simplify.

So, I am going to use these both methods.

In a vertical arrangement ,

( See attached picture)

( While subtracting , sign of each term of the second expression changes )

Next method,

In a horizontal arrangement, we have

[tex] \sf{1 - 4i - ( - 4 + 6i)}[/tex]

⇒[tex] \sf{1 - 4i + 4 - 6i}[/tex]

⇒[tex] \sf{1 + 4 - 4i - 6i}[/tex]

⇒[tex] \sf{5 - 10i}[/tex]

Hope I helped!

Best regards!!

Answer:

The answer is Rational Number

Step-by-step explanation:

Answer:

j=5.25

Step-by-step explanation:

j+22/8=8

j=8/1-22/8

j=64-22/8

j=5.25

Proof:

5.25+22/8=8

525/100+22/8=8

4200+2200/800=8

6400/800=8

8=8

Answer: 7%

Step-by-step explanation:

Given: Initial jobs = 428.5 thousand

Average rate of declining of jobs  from 2010 to 2020 =  3 thousand jobs per year

From 2010 to 2020 , there are 10 years.

Total jobs declines till 2020 = 10 x (3 thousand)

= 30 thousand  (Change in jobs)

Now, utilities percent change for 2010 to 2020​ : [tex]\dfrac{change \ in \ job\ numbers}{Initial\ jobs}\times 100[/tex]

[tex]=\dfrac{30}{428.5}\times100\\\\\approx7.00\%[/tex]

Utilities percent change for 2010 to 2020 = 7 %

Answer:

c

Step-by-step explanation:

The answer would be A!

The reason it's A is because you have two arrors on the number line! Hope this helps with your odyssey ware work!

[tex]\overline{AB}[/tex] is the correct name for the given line.

A line is called a line segment when it has two endpoints.

A line is called a ray when it has one initial point and the other end is denoted by an arrow stating it can be extended in one direction.

A line with two arrows can be extended in both directions generally called a line.

According to the question we have been given a diagram and we have to determine the correct name of the line AB with two points.

We know that when a line has two end points it is called a line segment.

∴ The correct name is [tex]\overline{AB}[/tex]

Learn more about lines here :

https://brainly.com/question/11689511

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Answer:

D

Step-by-step explanation:

Answer:

x = 5°

Step-by-step explanation:

We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:

7x + 4 + 61 = 20x

7x + 65 = 20x

13x = 65

x = 5°

Answer:

Solution given:

61°+(7x+4)°=20x [ exterior angle is equal to the sum of two opposite interior angle]

65+7x=20x

65=20x-7x

13x=65°

x=[tex] \frac{65}{13} [/tex]=5°

value of x=5°

Answer:

X=53. X=38

Step-by-step explanation:

46+81+x=180

X=180-127

X=53 degrees

31+112+x=180

X=180-143

X=37 degrees

Answer: Between 12 and 13

Step-by-step explanation: When put into the calculator to solve the answer comes up as 12.846325...

Answer:

(-9/8, 1/36)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Step 1: Find midpoint x

x = (1/4 + -5/2)/2

x = (-9/4)/2

x = -9/8

Step 2: Find midpoint y

y = (-4/9 + 1/2)/2

y = (1/18)/2

y = 1/36

Step 3: Write midpoint coordinates

(-9/8, 1/36)

Answer:

a)

if 1 quarter = $ 0.25

  1 dime = $ 0.10

  1 penny = $ 0.01

so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar

therefore we say;

1 Quarter + 8 dimes + 3 penny

: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )

: 0.25 + 0.80 + 0.03 = $ 1.08

b)

Now if you have a 4 Quarters, you have change for $1.

If you have 5 dimes, you have change for 2 Quarters.

If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.

If you have 5 pennies, you have enough change for 1 nickel

Therefore

(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x

(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x

x = 0.75 + 0.4 + 0.04

x = $ 1.19

PROVED

Step-by-step explanation:

a. lim(x→2) [g(x) + h(x)]

Use additive property of limits.

= lim(x→2) g(x) + lim(x→2) h(x)

= 0 + 5

= 5

b. lim(x→2) [3 h(x)]

Use multiplication property of limits.

= [lim(x→2) 3] [lim(x→2) h(x)]

= 3 lim(x→2) h(x)

= 3 (5)

= 15

c. lim(x→2) [g(x) h(x)]

Use multiplication property of limits.

= [lim(x→2) g(x)] [lim(x→2) h(x)]

= (0) (5)

= 0

Answer:2

Step-by-step explanation:

you just  do 6 divided by 3 and get 2

Answer:

Step-by-step explanation:

Given the vertices of a rectangle EFGH as E(7,7), F(1,5), G(2,2), and H(8,4), the perimeter if the rectangle will be the sum total of all the sides of the rectangle.

Using the expression Perimeter of rectangle EFGH = EF+FG+GH+EH

Taking the distance between adjacent vertices to get the length of each segment using the formula;

D = √(x₂-x₁)²+(y₂-y₁)²

For segment EF with vertices E(7,7), F(1,5);

EF = √(1-7)²+(5-7)²

EF = √(-6)²+(-2)²

EF = √36+4

EF = √40

EF = 2√10

For segment FG with vertices F(1,5) and G(2,2);

FG = √(2-1)²+(2-5)²

FG = √(1)²+(-3)²

FG = √1+9

FG = √10

For segment GH with vertices G(2,2), and H(8,4)

GH = √(8-2)²+(4-2)²

GH = √(6)²+(2)²

GH = √36+4

GH = √40

GH = 2√10

For segment EH with vertices E(7,7), and H(8,4)

EH = √(8-7)²+(4-7)²

EH = √(1)²+(-3)²

EH = √1+9

EH = √10

Since  perimeter of rectangle EFGH = EF+FG+GH+EH

Perimeter of rectangle EFGH = 2√10+√10+2√10+√10

Perimeter of rectangle EFGH = 6√10

Answer:

Step-by-step explanation:

Find the diagrammatic representation in the attachment given.

We can see that the diagram is a right angled triangle. To get the angle of elevation, we will use one of the trigonometry identity SOH, CAH, TOA.

Given the adjacent of the triangle to be 2miles (observation spot from the point of launch)and the opposite (side facing the elevation angle) as 2.1miles (the height), we will use TOA.

tan∅ = opposite/adjacent

tan∅ = 2.1/2

tan∅  = 1.05

∅ = tan⁻¹1.05

∅ = 46.4°

Hence the angle of elevation from Kim to the space shuttle, which is at a height of 2.1 miles is approximately 46.4°

Answer:

C

Step-by-step explanation:

So we have the rational expression:

[tex]\frac{x^2-11x+30}{x^2-x-30}[/tex]

We can factor the numerator and the denominator:

Numerator:

[tex]x^2-11x+30[/tex]

Factor:

[tex](x-5)(x-6)[/tex]

Denominator:

[tex]x^2-x-30[/tex]

Factor:

[tex](x-6)(x+5)[/tex]

Substitute:

[tex]\frac{x^2-11x+30}{x^2-x-30}\\=\frac{(x-6)(x-5)}{(x-6)(x+5)}[/tex]

We can cancel out the (x-6). Thus:

[tex]=\frac{x-5}{x+5}[/tex]

Our answer is C.