What is the solution for this equation?

Answer:

Step-by-step explanation:

hello

\(25a^2-36a^2=(5a)^2-(6b)^2=(5a-6b)(5a+6b)\)

so the dimensions of the rectangle are

5a-6b and 5a+6b

hope this helps

Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

To learn more about comparing, visit:

https://brainly.com/question/29467965

#SPJ1

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

for such more question on equations

https://brainly.com/question/17482667

#SPJ8

Answer:

Step-by-step explanation:

The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.

That makes "water" the dependent variable, and "rice" the independent variable.

  The amount of water is the dependent value.

  The amount of rice is the independent value.

Answer:

The amount of water is the dependent value.

The amount of rice is the independent value.

Step-by-step explanation:

Answer:

It is a Quadralateral

Step-by-step explanation:

Answer:

quadralatural

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

You have an right angle which is like an L and is 90 degrees. A acute angle and it just like if you was to close a L just a little bit you would get an acute angle which is 30 degrees. Last you have the the obtuse angle it´s like is you pulled the top of L and pulled it back a little bit you would get that. I mean those are the basic angles.

Step-by-step explanation:

= 5x - 25 = -10

= 5x = -10 + 25 ( transposing-25 from LHS to RHS changes -25 to +25 )

= 5x = 15

= x = 15 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 l

= x = 3

Let us check whether or not we have found out the correct value by keeping 3 in the place of x :

= 5 × 3 - 25 = -10

= 15 - 25 = -10

= -10 = -10

LHS = RHS

We have found out the correct value of x .

Therefore x = 3 .

Answer:

B

Step-by-step explanation:

B is the only one that does not have same x with 2 diferent y values

Answer:

Tanisha = 14 years

Ana = 7 years

Elicia = 16 years

Step-by-step explanation:

Let T = age of Tanisha

Let A = age of Ana

Let E = age of Elicia

Tanisha is twice as old as Ana:  

T = 2A

⇒ A = (1/2)T

Elicia is 2 years older than Tanisha:

E = 2 + T

Sum of all their ages is 37:

A + E + T = 37

Substitute A = (1/2)T and E = 2 + T into A + E + T = 37 and solve for T:

⇒ (1/2)T + 2 + T + T = 37

⇒ (5/2)T = 35

⇒ T = 14

If T = 14, then

A = (1/2)T = (1/2) 14 = 7

If T = 14, then

E = 2 + T = 2 + 14 = 16

Answer:

the lenght of the shortest side is 12

Step-by-step explanation:

So first add them all up becuase perimeter

3x+3x+5x-4+5x-4

You’ll get 16x-8

16x-8=56

16x=64

x=4

So then plug it in

3x=3*4=12

5x-4=5*4-4=16

so 12 is the shortest side

Answer:

(-1,-1)

Step-by-step explanation:

Given the system of equation

-6x + 5y= 1  ..... 1

6x+4y=-10 ..... 2

Adding both equations to eliminate x;

0 + 5y + 4y = 1 - 10

9y = -9

y = -9/9

y = -1

Substitute y = -1 into 2

From 2; 6x+4y=-10

6x+4(-1)=-10

6x-4=-10

6x = -10+4

6x = -6

x = -6/6

\x = -1

Hence the required solution (x, y) is (-1,-1)

Answer:

E is \(\frac{1}{2\\}\) F is 6\(\frac{1}{4}\) and G is \(1\frac{1}{2}\)

Step-by-step explanation:

Answer: He doesn't have any money left that period point blank

Step-by-step explanation

7-6=1

1-3= you cant do that

so he doesn't get soda at all.

Answer:

A. has a right angle

thats one

Answer:

I think it is A and D. Not 100% sure tho.

Each triangle can be classified by its angles and sides in the following ways :

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

For more questions on Height .

https://brainly.com/question/73194

#SPJ8

Answer:

84 points

y= 100-2x where y= total score (0 through 100) and x= # of questions wrong (0 through 50)

Step-by-step explanation:

100- 2(8) = y

100-16 = y

84=y

Since each question (x) is worth two points (2) we have to multiply each wrong question by two (2x). And then since we're deducting point from the possible points (100) we have to subtract (100-2x)

Answer:

Step-by-step explanation:

The set containing all the colors of the marbles is given as follows:

{blue, yellow, purple, green, pink}.

A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.

In this problem, we need to find the colors present in each marble, which are given as follows:

Then we have to list all these colors in a set, which are opened and closed by the brackets {}.

The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.

Thus, the set containing all the colors of the marbles is given by the set presented as follows:

{blue, yellow, purple, green, pink}.

More can be learned about sets of elements at https://brainly.com/question/24700823

#SPJ1

Answer:

84

Step-by-step explanation:

2+1-6+29*3

= 2+1-6+87

= 3-6+87

= -3+87

= 84

Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Given: y + 3 ≥ 2 and y + 3 < 6

To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:

y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:

2 ≤ y+3 and y + 3 < 6

Combine the two:

2 ≤ y+3 < 6

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

For more such questions on length, click on:

https://brainly.com/question/2005046

#SPJ8

Answer:

The

3

mile cab ride includes a basic charge as well as the cost for the distance covered.

For a

6

mile trip, the cost is

$

4.80

which means that :

The cost of

3

miles is

$

4.80

−

$

3.00

=

$

1.80

Therefore the cost for

1

mile is

$

1.80

÷

3

=

$

0.60

The basic fee for hiring the cab is

$

3.00

−

$

1.80

=

$

1.20

So the total cost,

c

for a trip of

d

miles will be:

c

=

0.6

d

+

1.2

Check:

If

d

=

3

c

=

0.6

(

3

)

+

1.2

=

3

If

d

=

6

c

=

0.6

(

6

)

+

1.2

=

4.8

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

3x450=1350

1350+650=2000

=2000

Answer:

BODMAS

3 x 450 = 1350

1350 + 650 = 2000

Answer:

180-144.5= 35.5

Explanation:

Supplementary means two angles add up to 180 degrees.

so 180-144.5= 35.5

Hope it helps you.

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

For more such questions on geometric,click on

https://brainly.com/question/19241268

#SPJ8

The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Answer:

The answer is 3.2

Step-by-step explanation: