Use elimination to solve and match each system of equations to the correct solution.

5x+12y=-34
2x+4y=-12

Answer:

x = -2

Step-by-step explanation:

First, distribute:

-12x + 28 = 52

Then, subtract 28 on both sides:

-12x = 24

Finally, divide -12 on both sides:

x = -2

Hope this helps!

Answer:

Your answer is x= -2

Step-by-step explanation:

[tex]-4(3x-7)=52[/tex] divide both sides by -4

[tex]\frac{ -4(3x-7)}{-4} = \frac{52}{-4}[/tex] cross out -4 and divide 52 by -4= -13

[tex](3x-7) = -13[/tex] add 7 to both sides -13+7=-6

[tex]3x= -6[/tex] divide both sides by 3

[tex]\frac{3x}{3} = \frac{-6}{3}[/tex] cross out the 3 and divide -6 by 3 = -2

[tex]x=-2[/tex]

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

l = 9 cm

w = 6 cm

Substitute the values into the above formula and solve

We have

P = 2(9) + 2(6)

= 18 + 12

We have the final answer as

Hope this helps you

Answer: d.30cm

Step-by-step explanation:

the formula for perimeter is P=2L+2W

Substitute the length and width

P= 2(9)+2(6)

Multiply

P= 18+16

Add

P=30

Add the unit

P= 30cm

Answer:

t665656yyt5ttr

Step-by-step explanation:

The Answer: x= −12/7

Answer:

x + 5

Step-by-step explanation:

Step 1: Write expression

x + 2 + 3

Step 2: Combine like terms (constants)

x + 5

Answer:

4+5-52*4=-199

Step-by-step explanation:

Answer:

Step-by-step explanation:

sample answer:

Shapes II, IV, and V are all congruent to shape I.

Answer:

[tex]8 - \frac{15}{x}[/tex]  

I hope this helps!

Answer:

8 - 15/x

Step-by-step explanation:

Quotient =

[tex]\frac{15}{x}[/tex]

So 8 minus the quotient of 15 and x equals

[tex]8-\frac{15}{x}[/tex]

Answer:

Measure the distance from one endpoint to the other.

Answer:

a line segment is a portion of a straight line which is directly connected to two given points. the given points has coordinate x and y

distance = √(x2-x1)²+(y2-y1)²

example : find distance between two points (2,6) and (3,4) ( find the length of a segment)

d = √(3-2)²+(4-6)

d=√1²+2²

d=√5

Answer:

[tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]

Step-by-step explanation:

[tex]\frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=\frac 1{\sin \theta}-\frac 1{\text{cosec} \theta}-\cot \theta[/tex]

[tex]\Rightarrow \frac 2{\text{cosec} \theta}+2\cot \theta-\frac 2{\sin \theta}=0[/tex]

[tex]\Rightarrow \frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=0[/tex]

[tex]\Rightarrow \sin \theta -\frac 1{\sin \theta}+\frac{\cos \theta}{\sin \theta}=0[/tex]

[tex]\Rightarrow \frac{\sin ^2\theta-1+\cos \theta}{\sin \theta}=0[/tex]

[tex]\Rightarrow \frac{-\cos ^2\theta+\cos \theta}{\sin \theta}=0\Rightarrow\frac{\cos \theta-\cos ^2\theta}{\sin \theta}=0[/tex]

[tex]\Rightarrow \cot \theta(1-\cos \theta)=0[/tex]

[tex]\text{If} \;\;1-\cos \theta=0\Rightarrow \cos \theta=1[/tex]

[tex]\Rightarrow \theta=2n\pi\;\; \text{for all}\; n=0,1,2,.....[/tex]

[tex]\text{If} \cot \theta=0\Rightarrow \frac{\cos \theta}{\sin \theta}=0\Rightarrow \cos \theta=0[/tex]

[tex]\Righarrow \theta =\frac{\pi}2+2n\pi\;\;\text{for all}\; n=0,1,2,...[/tex]

Hence, [tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

∴ 2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

∴ x = 27

The number is 27

Answer:

The answer is 11 /12 or 0.916667

Explanation:

Answer:

x = 2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

[tex]-3x+7=8[/tex] subtract 7 on both sides

[tex]-3x=21[/tex] divide -3 into both sides

[tex]x=-7[/tex]

To check

-3(-7) = 21 + 7=28

Answer:

y = x - 2

Step-by-step explanation:

8 + 5y = 5x - 2

5y = 5x -2 - 8

5y = 5x - 10

5y/5 = (5x - 10)/5

y = x - 2

The equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

5x - 2 = 8 + 5y

The above equation represents the linear equation in one variable.

To solve for y make the subject as y

5y = 5x - 2 - 8

5y = 5x - 10

y = (5x - 10)/5

y = x - 2

Thus, the equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.

Learn more about the linear equation here:

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Answer:

n/(4-5)

Step-by-step explanation:

A quotient of a number and... means that the number is being divided by whatever comes after. In this case the number that comes after is '4 decreased by 5', which is 4 - 5 as the -5 takes 5 away so it 'decreases it by 5'. Therefore is the expression is 'the quotient of a number and four decreased by five' then it is expressed in the following way (using n for number):

n/(4-5)

Hope this helped!

Answer:

See Below

Step-by-step explanation:

Isolate f

h =  4 + f

-4   -4

h - 4 = f

Or  f = h-4

Answer:

Step-by-step explanation:

Given the equation 2,900 = 250 + 132.5T, to get the solution of the equation, we will find the value of T as shown;

From 2,900 = 250 + 132.5T

subtract 250 from both sides;

2,900- 250 = 250 + 132.5T-250

2,650 = 132.5T

Divide both sides by 132.5

132.5T/132.5 = 2650/132.5

T = 20

Hence the solution to the equation tells us that the value of T is 20

Answer:

The measure of x = 45 degrees

Answer:

x is equal to 50.

Explanation:

The three lines intersect creating a triangle. All angle measures for triangles in Euclidean geometry must have a sum of 180 degrees. Because of the Vertical angles theorem, which states if two angles are opposite they are congruent, this means the angle across from 40 degrees is also 40 degrees. Since we know that the second angle is 90 degrees based on the right angle sign. By adding 40 and 90 you get a sum of 130. Now you subtract 130 from 180. This gives you 50 degrees. Since the Vertical angle theorem states two opposite angles are congruent we know the x is equal to 50 degrees.

Answer: A number is a perfect square only if it has a odd number

Step-by-step explanation:

As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.

Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given the first statement

20 is multiple of 3

Since 20/3 given remainder of 3 so it is not multiple.

So the first statement is wrong.

So if the question is saying this it means the question will consider all correct statements as wrong.

Now,

101 is a perfect square is wrong but the question will consider it correct.

Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".

For more about reasoning,

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Answer: -48x^7 y^3

Step-by-step explanation: Simplify the expression.

I hope this helps you out. :)

Answer:

1=163 degrees

2=×=10 degrees

3=×=3

Step-by-step explanation:

54x+1+9x-10=180 we are using this expression because alternate angles add up to 180 degrees

54x+9x+1-10=180

63x-9=180

63×=180+9

63×=189

63×÷63×=189÷63×

X=3

Angle in bold print is (54x+1)

54×3=162

162+1=163 degrees

No.2 Find x

7x+35+x+65 =180

7x+x+35×65=180

8x+100=180

8x=180-100

8x=80

8x÷8x=80÷8

X=10 degrees

No.3 Find x

54x+1+9x-10=180

54x+9x+1-10=180

63x-9=180

63x=180+9

63x=189

63x÷63x=189÷63

X=3

I hope I was of help

Answer:

thats easy you don't need help

Step-by-step explanation:

Answer:

C. An = 5(2)^n-1

Step-by-step explanation:

Tower 1 2 3 4 5

Number of blocks 5 10 20 40 80

Where,

n = tower number

An = number of blocks

A. an = n + 80

B. an = 2n + 5

C. An = 5(2)^n-1

D. an = 10(5)^n

Checking all options

A. An = n + 80

When n = 1

An = 1 + 80

= 81

B. An = 2n + 5

When n = 1

= 2(1) + 5

= 2 + 5

= 7

C. An = 5(2)^n-1

When n = 1

= 5(2)^1-1

= 5(2)^0

2^0 = 1

= 5(1)

= 5

D. An = 10(5)^n

When n = 1

= 10(5)^1

5^1 = 5

= 10(5)

= 50

The explicit formula which correctly represents the number of blocks, an, in terms of the tower number, n is C. An = 5(2)^n-1

Answer:

C

Step-by-step explanation:

I took the map test

(There are 60 minutes in 1 hour)

1)First we can start of by dividing 600 by 60

2)You should get the answer of 10

Answer:  10 miles per minute.

Answer: It travels 10 miles per minute

Step-by-step explanation:

Divide 600 by 60

Answer: 6

Step-by-step explanation:

the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three

Answer:

201.4 feet

Step-by-step explanation:

Area of a rectangular garden = length × width

Length of the rectangular garden = 15.34 feet

Width of the rectangular garden = 13.13 feet

Area of a rectangular garden = length × width

= 15.34 feet × 13.13 feet

= 201.4142 feet

Approximately 201.4 feet

The Area of the rectangular garden = 201.4 feet

Answer:

Step-by-step explanation:

Given function:

Putting this into slope-intercept form: y = mx + b

Replacing y with f(x)