Solve this system of equations by elimination. Enter your answer as an ordered pair (x,y). Do not use spaces in your answer. If your answer is no solution, type "no solution". If your answer is infinitely many solutions, type "infinitely many solutions".

Right Triangles

A right triangle is recognized because it has an interior angle of 90°.

In right triangles, the Pythagora's Theorem is satisfied.

Being a and b the shorter sides (also called legs) of the triangle, and c the longer side (called hypotenuse), then:

The triangle shown in the image has the two legs of values a=15 and b=8. The hypotenuse is c=x, thus:

Operating:

Solving for x:

x = 17

When you have an arithmetic sequence you can use the next general formula to get the explicit formula:

Where a(1) is the first term in the sequence, d is the difference between each term in the sequence, and n is the nth term

You have the sequence: 28,38,48,58

The difference in this sequence is d=10

The first term is: a(1)=28

Then:

Recall that in a Fibonacci-like sequence, the sum of two consecutive terms yields the third term.

Mathematically,

Since we are given the first two terms, we can find the third term and so on...

F₁ = 0

F₂ = 3

SOLUTION:

Case: Rectangles

Method:

The sum is:

w + w + 2w + 5 = 89

4w + 5 = 89

4w = 89 - 5

4w = 84

w = 84/ 4

w= 21 feet

The length, l

l = 2w + 5

l = 2( 21) + 5

l = 42 + 5

l = 47 feet

Final answer:

length of the patio, l = 47 feet

width of the patio, w= 21 feet

2 - 3

the correct answer is letter C

If we follow the rules of the exponents, the power is negative so we change the negative sign writing the numerator in the denominator,

The vertical angle theorem states that the opposite angles formed by two lines that intersect each other are always equal to each other.

Then, if we apply this to the figure shown we can say that by the vertical angle theorem

WE are given that 9 tickets have a total cost of $94.50. To determine the price for each ticket we must find the quotient between the total amount spent and the number of tickets, like this:

Solving the operations we get:

Therefore, each ticket has a price of $10.50

The value of S in the expression 5/8-3/8 S = two minus S is 2 1/5.

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, this is illustrated thus:

5/8 - 3/8S = 2 -S

Collect like terms

-3/8S + S = 2 - 5/8

5/8S = 1 3/8

Divide

S= 1 3/8 ÷ 5/8

S = 11/8 × 8/5

S = 11/5

S = 2 1/5

This illustrates the concept of expression.

Learn more about expressions on;

brainly.com/question/723406

#SPJ1

In order to calculate these conversions, we need to know the following conversion rate:

1 pound is equal to 16 ounces.

Knowing that, let's convert:

a. to ounces:

b. to pounds:

As given that the number of yearly robberies in Springfield in 2013 was 180

And then went down by 40% in 2014.

So robberies were there in Springfield in 2014:

So robberies were there in Springfield in 2014 are 72

19 in

1 yd

2ft

32 in

First, we have to convert all the length into a unique unit:

For example, inches:

Since

1 ft = 12 inches

2 ft = 2 x12 = 22 inches

1yd = 36 inches

Now, we have to order from least to greatest:

19 in-22in -32in-36in

In the original units:

19 in , 2ft, 32in ,1yd

In this problem we have that

mso

the formula to calculate the interior angle is equal to

msubstitute the given values

m

therefore

You have to multiply:

First write the compound fractions as impropper fractions.

To do so, divide the whole number by one to express it as a fraction and add both fractions:

Rewrite the multiplication using the corresponding impropper fractions:

And solve the multiplication, numerator * numerator and denominator*denominator:

32

1 pinch = 2 smidgens

1 dash = 2 pinches

Therefore, 1 dash = 2 x 2 smidgens

1 dash = 4 smidgens

1 teaspoon = 8 dashes

1 teaspoon = 8 x 4 smidgens

1 teaspoon = 32 smidgens

There are 32 smidgens in 1 teaspoon

Answer:

The correct answer is:

The ordered pair (2, 3) is not a solution to the system.

Explanation:

The system given is:

If (2, 3) is a solution of the system, then replacing x = 2 and y = 3 on both equations should give a correct result and the same on both equatiions.

In the first equation;

We can see that this result is not true, as 27 is not equal to 1.

In the second equation:

Once again, a false result.

To see in the system has equations, let's solve for x in the second equation:

Now, we can use substitution in the first equation:

And solve for y:

Now, we can find the value of x:

The solution to the system is (-2, 1)

Thus, the correct option is "The ordered pair (2, 3) is not a solution to the system"

EXPLANATION

There are two zeros in the product of 5x40 because multiplying the number 40 5 times give us the number 200 wich is a hundred type number.

Answer:

Th

Explanation:

Given the ordered pair (-4, -1), we have that x = -4 and y = -1. Plotting this point, we'll have;

Quadrants are labeled in an anti-clockwise direction with the top right portion of the graph being the 1st quadrant. Looking at the plotted point, we can see that the point is in the 3rd quadrant.

The total area under the normal distribution curve is 1. z-scores are indicated in the horizontal axis below this curve. This means that the sum of areas under the curve at the left and at the right of a certain z-score must be equal to 1.

Then if the area at the right of the z-score that we are looking for is 0.04 the area at its left must be equal to 1-0.04=0.96. The area at the left of z is important because z-score tables usually show the areas at the left of several z-scores. Then the only thing that we have to do is look for the z-score associated with 0.96 in one of these tables. In your case the table that you should use is the one named "Normal Table -∞ to z". That table should look like this one:

As you can see the value 0.96 is associated with the row 1.7 and the column .05 which means that the z-score that meets that the area under the curve at its right is 0.04 is z=1.7+0.05=1.75.

Then the answer is 1.75

Answer:

Explanation:

Answer:

<A=32°

Explanation:

<BEC = 90° because it has the red half square and we know that <DCE = 42°. <ACB= 2x because <ACD and <DCB both =x. The equation we would set up is

90+(42+x) +2x=180

We get x=16.

Since <ACB = 2x we multiple 16 by 2

16*2=32

So <ACB =32°

Answer:

The First one (1.7,3.1)

Step-by-step explanation:

3x-2=-0.5x+4

3.5x=6

x=12/7

x≈1.7

sub x back into to find y

y≈3.1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the growing rate of the first tree

Tree 1 is growing 1.5 inches every week

STEP 2: Calculate the growing rate of the second tree

This implies the slope and is calculated using the formula;

By substitution,

The slope of 1 means that Tree 2 is growing at a rate of 1 inch per week

Hence, the tree that is growing faster is Tree 1 with a rate of 1.5 inches per week

ANSWER:

Tree 1

Apply difference of two square

Solution

The functions that define the region in consideration are given below:

The Washer Method:

- Plotting these functions would help us visualize the question better. This is done below:

- The question would like us to revolve around the region about line x = 2. The region is bounded by the Blue, Red, and Green line. This requires that we use the formula given below:

-

We can represent the region bounded by the function by rearranging the functions as follows:

The solution to the inequalities will be,

( 5 ) y ≥ 2

( 6 ) x < 3

( 7 ) No solution.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

The given inequalities will be calculated as:-

-4 ≤ 4( 6y - 12 ) - 2y

-4 ≤ 24y - 48 - 2y

-4 ≤ 22 y - 48

22y ≥ 44

y ≥ 2

4x + 3 < 3x + 6

4x - 3x < 6 - 3

x < 3

-5r + 6 ≤ -5( r + 2 )

-5r + 6 ≤ -5r - 10

No solution

Therefore, the inequalities are solved above.

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ1

sphere: 12 pounds

cylinder: 108 pounds

Explanation:

Data:

. From balance A:

3 cubes + 1 sphere = 1 cylinder + 2 spheres

. From balance B:

3 cubes = 5 spheres

Since 1 cube = 20 pounds

=> From balance B:

3 cubes * 20 pounds = 5 spheres

60 pounds = 5 sphere

60 / 5 = 5 / 5

12 pounds = 1 sphere

=> From balance A:

3 cubes + 1 sphere = 1 cylinder + 2 spheres

3 spheres * 20 pounds + 1 sphere * 12 pounds = 1 cylinder + 2 spheres * 12 pounds

120 pounds + 12 pounds = 1 cylinder + 24 pounds

132 pounds = 1 cylinder + 24 pounds

132 pounds - 24 pounds = 1 cylinder + 24 pounds - 24 pounds

108 pounds = 1 cylinder

Answer:

18 tiles.

Step-by-step explanation:

24x6= 144

144/8= 18

vote for brainliest and have a nice day

To draw a Ray; Draw a line with an arrowhead at one end of the line segmen:

Ray LM:

SOLUTION

We are trying to get the equation for the horizontal line passing through the point (-6,-6).​

( x1 , y 1 ) = ( 0, 0 )

( x2 , y2 ) = ( -6 , -6 )

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

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

m = -6 / - 6

m = 1

Then, using the equation of a line;

y - y 1 = m ( x - x 1 )

y - 0 = 1 ( x - 0 )

y = x

Answer:

Step-by-step explanation:

64.528 is the decimal