6x + 4y = - 12
Find the X-intercept and y-intercept of the line

Answer:

False

Step-by-step explanation:

Answer: True,.

Step-by-step explanation: There is one Value of y, and every Value of x; Which makes it a Function.

Answer:

True

Step-by-step explanation:

Congruence is a relationship that exist between majorly two shapes which compares their given sides and angles to determine if they are similar.

From the given diagram,

AE ≅ DE (congruence relations)

BE ≅ CE (congruence relations)

Also,

<AEB ≅ DEC (vertically opposite angles)

Thus, it can be observed that;

ΔABE ≅ ΔDCE by Side-Angle-Side (SAS) congruent relationship.

So that the SAS congruence relationship is true.

Answer:

310

Step-by-step explanation:

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer:

648

Step-by-step explanation:

9 times 27

Answer:

$8.

Step-by-step explanation:

72 divided by 9

hope this helped </3

Answer:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form

x² + y² + 2x - 2y - 7 = 0

Step-by-step explanation:

Center = (-1, 1)

Radius = 3

Graphing form

(x + 1)² + (y - 1)² = 3²

General form   \Expand graphing form\

(x² + 2x + 1) + (y² - 2y + 1) - 9 = 0

Rearrange

x² + y² + 2x - 2y - 7 = 0

xy+9

3+x

Step 1

The "Commutative Laws" say we can swap numbers over and still get the same answer ... ... when we add: a + b = b + a,then

Step 2

I hope this helps you.

The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.

Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:

= 3.75 × x

= 3.75x

Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:

= 5 + (3.25 × x)

= 5 + 3.25x

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Answer:

0

Step-by-step explanation:

x < 4 means all numbers less than 4, excluding 4 itself.

4.5 > 4.

5 > 4.

so 0 is the solution

Answer:

4

Step-by-step explanation:

interval notation ( negative infinity, 4)

Answer:

yes

Step-by-step explanation:

Number of students = 18

Number of scoops allowed per student = 2

If we are to write the total number of scoops that all the students will recive in linear form:

let the total number represent y

A linear form has the form:

y = mx + c

In this question:

y = 2x

Since there is no constant, the c = 0

m= 2 scoops per person

x = number of persons

The constraint that can affect the equation is the number of scoops.

Since we are told each person will only have 2 scoops.

The constraint:

This is because we can't have negative number of scoops of ice-cream.

By percentage property the model car have 375 pieces.

What is percentage?

In mathematics,  percentage is a type of  number or a ratio which can be expressed as a fraction of 100. To calculate percent of a number, we must divide the number by the whole and then multiply by 100. The symbol of percentage is '%' . For example 5% , 2.5% 11.6% etc.

Given that ,

Supreet is building a model car. He has used 150 pieces, which is 40% of the total number of pieces.

Let, the model car have y pieces.

40% ( 40 percent) of y = y × 40%

                                       = (y×40)/100

It equals to 150 so equating both of them we get,

                  (y×40)/100 = 150

                  ⇒ y= (100×150)/40

                  ⇒ y= 375

Hence, the model car have 375 pieces.

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Answer:

He makes 4 batches of cookies with all of the chocolate chips so he will use 4 times the amount of batter in 1 batch so you would do 5 1/2 times 4 which eqauls 22 so he will use 22 cups of cookie dough.

So your answer is D. 22 cups

Step-by-step explanation:

The number of cups of cookie dough does the baker use is 22 cups.

Given that,

Based on the above information, the calculation is as follows:

\(= 5\frac{1}{2} \times 4\\\\= \frac{11}{2}\times 4\)

= 22 cups  

Therefore we can conclude that the number of cups of cookie dough does the baker use is 22 cups.

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Answer:

the selling price is 18,400

Step-by-step explanation:

The computation of selling price is shown below:

Given that

The cost price of the shirts is 20,000

And, there is a loss of 1,600

So, the selling price is

= 20,000 - 1.600

= 18,400

hence, the selling price is 18,400

The system of equations that represent this situation is:

\(x + y + z = 356\)

\(9x + 4y + 4z = 1978\)

\(x = 2y\)

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

For our system, we say that:

Total of 356 people, thus:

\(x + y + z = 356\)

$9 for adults, $4 for students and teachers, total of $1978. Thus:

\(9x + 4y + 4z = 1978\)

Adults twice the number of students, thus:

\(x = 2y\)

The system is:

\(x + y + z = 356\)

\(9x + 4y + 4z = 1978\)

\(x = 2y\)

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SOLUTION

To get the remaining amount, we subtract all the other cost from the amount he earned.

This means, the remaining amount becomes

This becomes

Answer:48 mm

Step-by-step explanation:

6 x 2 x 4= 48mm

Answer:

D

Step-by-step explanation:

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The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

Answer:

Number of seats in first row = 2

Number of seats in 2nd row = 4

Number of seats in 3rd row = 6

Step-by-step explanation:

Let's say number of seats in first row is x.

Now we are told that each row must have two more seats

than the one before it.

Thus, the remaining 2 rows have;

(x + 2) and (x + 4) seats respectively.

We are told that that the front row must have one quarter the total seats in the

back 2 rows combined.

Thus;

x = ¼((x + 2) + (x + 4))

Multiply both sides by 4 to give;

4x = x + 2 + x + 4

4x = 2x + 4

4x - 2x = 4

2x = 4

x = 4/2

x = 2

Thus;

Number of seats in first row = x = 2

Number of seats in 2nd row = (x + 2) = 2 + 2 = 4

Number of seats in 3rd row = (x + 4) = 2 + 4 = 6

Answer:

3, 5, and 7

Explanation:

look at photo attached

Answer: Around 37.3

Step-by-step explanation:

\(tan(63)=\frac{x}{19} \\\\x=19*tan(63)=37.2895996...\)

Answer:

37.3

Step-by-step explanation:

tan (63)=x/19

x=19×tan(63)=37.3

To solve for the 25th term of the arithmetic sequence:

For an arithmetic sequence

25th term = T_25

Therefore the 25th term of the arithmetic sequence = 128

Hence the correct answer is Option D

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

Answer:It is a 5 sided polygon known as pentagon.

Step-by-step explanation:

Answer:

The area of the rhombus is 25.83 cm².

Step-by-step explanation:

The area of a rhombus is given by:

\( A = \frac{d_{1} \times d_{2}}{2} \)

Where:      

d₁: is one diagonal      

d₂: is the other diagonal = d₁ + 4 cm

We know that one side length of the rhombus is equal to d₁. We can imagine a right triangle inside the rhombus, with the following dimensions:

h: hypotenuse of the right triangle  

a: one side of the right triangle

b: is the other side of the right triangle  

From the above we know that:

h = d₁                                

\( a = \frac{d_{2}}{2} = \frac{d_{1} + 4}{2} \)

\( b = \frac{d_{1}}{2} \)            

We can find d₁ with Pitagoras:

\( h^{2} = a^{2} + b^{2} \)  

\( d_{1}^{2} = (\frac{d_{1} + 4}{2})^{2} + (\frac{d_{1}}{2})^{2} \)

\( d_{1}^{2} = \frac{1}{4}(d_{1}^{2} + 8d_{1} + 16 + d_{1}^{2}) \)

By solving the above quadratic equation for d₁ and taking the positive solution we have:

\( d_{1} = 5.46 cm \)    

So, d₂ is:

\( d_{2} = d_{1} + 4 = 5.46 cm + 4 cm = 9.46 cm \)

Now, we can find the area:

\( A = \frac{d_{1} \times d_{2}}{2} = \frac{5.46 cm \times 9.46 cm}{2} = 25.83 cm^{2} \)

Therefore, the area of the rhombus is 25.83 cm².

I hope it helps you!  

Answer:

Step-by-step explanation:

a

The answer would be -6.6 or if it says to round it up it'll be -6.7