Solve the system of equations graphically 3x-y=4, 2y+x=6

The shape is a pentagon.

The interior angles of a pentagon always add up to 540°.

When you add up all the labeled angles in the picture, you get (16x + 12).

16x + 12 = 540

16x = 528

X = 33

Step-by-step explanation:

4x-25+3x+25+3x+15+4×+2x-3=360

4x+3x+3x+4x+2x-25+25+15-2=360

16x +12=360

16x=360-12

16×÷16=348÷16

×=21.75

Answer:

x = 60° (Alternate angles)

Step-by-step explanation:

a) x = 60°

b) Reason: Alternate angles

Answer:x=60

Step-by-step explanation: all angles in a triangle add up to 180 degrees, x is the same as the angle next to it, therefore x=60 degrees

Answer:

1st option

Step-by-step explanation:

Given the 2 equations

2x + 5y = 19 → (1)

y = 3x - 3 → (2)

Substitute y = 3x - 3 into (1)

2x + 5(3x - 3) = 19

Answer:

y=-7/4x+6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-6)/(4-0)

m=-7/4

y-y1=m(x-x1)

y-6=-7/4(x-0)

y-6=-7/4(x)

y-6=-7/4x

y=-7/4x+6

Answer:

325 centimeters

Step-by-step explanation:

Given:  

Number 1X2Y6Z is divisible by 9.

To find:  

The least value of  X+Y+Z = ?

Solution:  

First of all, let us learn the divisibility rule of 9.  

A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.

For example:

Let us consider a number 923463.  

The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27  

27 is divisible by 9 so the number 923463 will also be divisible by 9.

Let us consider another example 8972.  

Sum of digits = 26  

26 is not divisible by 9 so the number 8972 will also be not divisible by 9.

Now, we are given the number 1X2Y6Z.  

Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z

The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.  

The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9  

which will make the number 1X2Y6Z divisible by 9.

So, the answer is:

Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.

9514 1404 393

Answer:

  0

Step-by-step explanation:

For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.

The least value of x+y+z is 0.

_____

102060/9 = 11340

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)

Answer:

everything is in the picture

Answer:

y = 1.4x + 5.6

Step-by-step explanation:

plug the slope and y-intercept into the formula: y = ax + b (a is the slope and b is the y-intercept)

thus, y = 1.4x + 5.6

Answer:

V≈5.23×10-7m³

Step-by-step explanation:

V=π(d

2)2h=π·(0.014

2)2·3.4×10-3≈5.23389×10-7m³

Answer: 523.1 mm^2

You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

Answer:

5.670, 56.27,5.72.

Step-by-step explanation:

All you do is pay attention to that decimal and remember that the places where the numbers are present; they are invisible zero so,

56.72 is the same as 56.720000.

It's pretty clear for this question since the numbers are clear so all you do is look at the decimals.

Answer:

621.75

Step-by-step explanation:

Hope this helps!!!

Answer:

S.A. = 138.16

Step-by-step explanation:

S.A. = πrl+πr²

3.14 x 4 = 12.56

12.56 x 7 =87.92

3.14 x 4 = 12.56

12.56 x 4 = 50.24

87.92 + 50.24 = 138.16

Let me know if this helps!

Answers of the quiz are as follows

A. 75

B. -50

C. 20

D. -12

We have been given that -

Number of questions= 25

Correct answers= x and score= 3

Incorrect answers= y and score= -2

Not answered= z and score= 0

We can calculate the score as:

A) What is the maximum score you could get on the quiz?

Maximum score one can get on the quiz if he / she correct all i.e. -

25 × 3 = 75.

B)  What is the minimum score you could get on the quiz?

Minimum score one can get on the quiz if he / she correct all i.e. -

25 ×-2 = -50.

C)  A student answers 15 questions.10 are correct. How many points does he score?

Scored points = (10 × 3) + (5 × -2)

= 30 -10

=20 points

D) Another student answers 21 questions. 6 are correct. How many points does she score?

= 6 × 3 + (15 × -2)

= 18-30

= - 12 points

Hence, the answer are a- 75 , b- -50 , c - 20, d- -12.

To learn more about Numbers

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a) 3x + 5y =  26  

b) 2x + 2y = 12

First, we need to find a way to equate either the x terms or the y terms in each equation. a)  6x + 10y = 52

                          b) 6x + 6y = 36

Then take equation b) from the equation a) to eliminate the x component.

a) 6x + 10y = 52

- b) 6x + 6y = 36

   0x    + 4y = 16

            y = 4 ?

Then substitute the value of y into either equation to find the value of x.

b) 2x + 2y = 12

   2x + (2x4) =12

   2x + 8 = 12

   2x = 4

   x = 2

I hope this new information i read helps you maybe understand it and as an example!

Answer:

The number of days in y hours is y/24

Step-by-step explanation:

Here, we want to write an expression

Mathematically;

1 day = 24 hours

? days = y hours

? days = (y * 1)/24

? days = y/24

Answer:

I believe 31 dollars and 95 cents

Step-by-step explanation:

Marie would earn $37.2 in 4 1/2 hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Marie charges a $10.75 base fee for each dog she walks,

and, additional $7.10 per hour that she walks the dog.

Each day she spends $5.50 on dog treats.

So, if Marie works for 4 1/2 hour then she can earn

= 10.75 + 4 1/2 x 7.1 - 5.5

= 10.75 + 4.5 x 7.1 - 5.5

= $37.2.

Hence, Marie would earn $37.2.

Learn more about Unitary Method here:

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Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

Answer:

25

Step-by-step explanation:

Answer:

all if you don't answer them

Answer:

Down below

Step-by-step explanation:

The graph is attached to the answer.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given is a function,

g(x) = -3, -8≤x-2

          1, -2≤x≤4

          5, 4≤x≤10

The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.

And the open circle at -8, -2, 4, and 10.

More about the function; click,

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Answer:

Q1; 124.72

Sorry I don’t understand the second one

Step-by-step explanation:

Answer:

solution given:

B.

CE=2×2=4[base side is double to the line of mid point]

AB=15/2=7.5[b is a mid point]

m<AEC=75°[ corresponding angle]

5.

given:

BD=x+1

CE=x+10

we have

2BD=CE

2(x+1)=x+10

2x+2=x+10

2x-x=10-2

x=8

Answer:

D) 6^5 · 3^5

Step-by-step explanation:

(6 · 3)^5 = 1889568

A) WRONG

(5 · (6 · 3)) = 90

B) WRONG

9^5 = 59049

C) WRONG

6 · 3^5 = 1458

D) CORRECT

6^5 · 3^5 = 1889568

Answer:

first box is 24

second is -5

third is -6

Step-by-step explanation: