What is the value of y?

A.
16

B.
48

C.
64

D.
13

Answer:

C

Step-by-step explanation:

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Answer:

c

Step-by-step explanation:

Answer:

no real solutions

Step-by-step explanation:

x² + 6x + 12 = 0

the general solution :

x = (-b ±sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 6

c = 12

the discriminate is (b² - 4ac).

so,

x = (-6 ± sqrt(6² - 4×1×12))/(2×1)

the discriminate is

6² - 4×12 = 36 - 48 = -12

this is negative, so via the square root of a negative number we get 2 complex (imaginary) solutions.

Answer:

d = - 50

Step-by-step explanation:

common difference is

50 - 100 = 0 - 50 = - 50 - 0 = - 50

The height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.

What is Pythagoras theorem?

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle. The sides of the right triangle are also called Pythagorean triples.

Here, length of ladder (Hypotenuse) is 39 ft

         distance from building (base) is 31 ft.

By Pythagoras Theorem,

[tex]Hypotenuse^{2} = perpendicular^2 + Base^2[/tex]

[tex]39^2 = P^2 + 31^2[/tex]

[tex]P^2 = 39^2 - 31^2[/tex]

[tex]P^2 = (39+31)(39-31)[/tex]

[tex]P^2 = 70 X 8[/tex]

[tex]P = \sqrt{560}[/tex]

P = 23.6 ft ≈ 24 ft.

Thus, the height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.

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Well if Marco is spending 17.25 on 3 bags we know that six bags will just be double the 17.25 or 17.25 times two. This means that for six bags Marco will be spending $34.50 to feed his cat.

The sum of the expression 70a and 21b is equivalent to 7(10a + 3b).

Step-by-step explanation:

EquationAn equation is an expression that is used to show the relationship between two or more variables and numbers.Given the expression:7(10a + 3b)Opening the bracket:= 70a + 21bThe sum of the expression 70a and 21b is equivalent to 7(10a + 3b).

Answer:

Imagine an example to make it easier. . . I guess.

Step-by-step explanation:

For example:

Molly had 1 cookie.

Leo had 2 cookies.

Leo stole Molly's cookie.

How many cookies does Leo have now?

He has 3 cookies now.

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Answer:

Some equations are easy to solve in your head. If the numbers are easy to work with, you just have to figure out what question you need to answer. For example, to solve x + 8 = 12, you have to determine what number can be added to 8 in order to have a sum of 12. In this case, x must be equal to 4.

Other equations, however, are much harder to solve using mental math. Equations that have lots of negative numbers, large numbers, fractions, or decimals can be difficult to solve in your head. That's why there is a system, called an algorithm, for solving these equations.

An algorithm is just a step-by-step process for solving problems. The algorithm for solving equations is based on a very important property called the property of equality, which says that whatever is done to one side of the equation must also be done to the other side.

The algorithm for solving equations has four steps:

Locate the variable.

Determine what operation is being done to the variable.

Do the inverse operation on both sides of the equation.

Check your solution using substitution.

Remember that the goal of solving an equation is to determine what value of the variable will make the sentence true. This means you need to find what the variable is equal to. That's why the first step, although it may seem easy, is so important. You need to start by locating the variable in the equation. Take a look at Ondi's equation from above:

n - 1.4 = 3.7

In this case, the variable is n, and it's on the left side of the equation. That was easy! Now for the second step. Remember that the goal is to figure out what the variable is equal to when it's by itself. So in the second step, you have to identify what is being done to the variable in the equation. If you look at the equation above, you can see that 1.4 is being subtracted from n. The second step is complete!

The third step is when you actually start working with the equation. You're going to do the opposite of what is already being done to the variable. For example, if a number is added, you're going to subtract. If a number is subtracted, you're going to add. This will help you get the variable by itself on one side of the equation. Then you'll know what the variable is equal to!

In the equation, 1.4 is being subtracted from n. So you're going to do the opposite and add 1.4. Remember that the property of equality says that if you do something to one side of the equation, you must do it to the other side as well. Take a look:

n - 1.4 + 1.4 = 3.7 + 1.4

Can you see what is going to happen on the left side of the equation? Subtracting 1.4 and adding 1.4 cancel each other out, leaving you with just n. That's because subtraction and addition are inverse operations, which means they undo each other.

So the left side of the equation simplifies to the variable n. What will happen on the right side? The constants 3.7 and 1.4 will combine to give you 5.1.

n = 5.1

The fourth and final step of the algorithm is to check the solution using substitution. Substitute the value of 5.1 in for n in the original equation to see if the sentence is true:

n - 1.4 = 3.7

5.1 - 1.4 = 3.7

3.7 = 3.7

Yes! This statement is true, so the solution is correct!

Step-by-step explanation:

Hope this helped you!

Given that triangles RAM and PQR are similar triangles, therefore, the measure of PR is: 16 cm.

The sides of triangles that are similar to each other have proportional measures.

Given:

Thus:

AM/QP = RM/PR

Substitute

18/12 = 24/PR

PR = (24 × 12)/18

PR = 16 cm

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Answer:

y= 2/3x -1

Step-by-step explanation:

Answer:

24.4 > 24.34

Step-by-step explanation:

Tenth place value can be any number more than the tenth value in 24.34.

In the decimal number 24.34, the tenth value is 3. So, it should be more than 3

Options can be any one of these

24.4  or

24.5 or

24.6

Answer:

Values (tenths) that would make the number comparison 24._ > 24.34 true would be:
- 4
- 5
- 6

24.40 > 24.34
24.50 > 24.34
24.60 > 24.34

All other options provided would make the left side of the comparison less than the right side of the comparison.

Step-by-step explanation:

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Answer:

  see attached

Step-by-step explanation:

The dilation factor of 1/2 moves each point to half its previous distance from the origin.

Answer:

Circumference of a circle:

Area of a circle:

By using the natural logarithm, we will see that the value of a is 0.33

We know that:

h(x) = x^a

And we know that:

h(27x) = 3h(x).

We can rewrite this as:

(27x)^a = 3*(x)^a

And remember that we can distribute exponents, so the left side can be rewritten as:

(27*x)^a = (27^a)*(x^a)

Then we have:

(27^a)*(x^a) = 3*(x)^a

This means that:

27^a = 3

Now remember the rule:

ln(x^n) = n*ln(x)

If we apply the natural logarithm to both sides, we get:

ln(27^a) = ln(3)

a*ln(27) = ln(3)

a = ln(3)/ln(27) = 0.33

If you want to learn more about the natural logarithm, you can read:

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The selection of the 5-digit number illustrates arrangements

There are 1875 different numbers greater than 50000

The digits of the 5 digit numbers are given as:

3 4 6 7 9

For the number to be greater than 50000, the first digit must be 6, 7 or 9 i.e. 3 numbers.

The other four digits can be any of the 5 numbers.

So, the count of numbers greater than 50000 is:

Count = 3 * 5 * 5 * 5 * 5

Count = 1875

Hence, there are 1875 different numbers greater than 50000

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#1

Slope=

[tex]\\ \rm\Rrightarrow m=4-2/2-1=2[/tex]

Equation in point slope form

[tex]\\ \rm\Rrightarrow y-2=2(x-1)[/tex]

[tex]\\ \rm\Rrightarrow y-2=2x-2[/tex]

[tex]\\ \rm\Rrightarrow y=2x[/tex]

Graph attached

#2

Same like before

Equation of the line:-

[tex]\\ \rm\Rrightarrow y=3x[/tex]

Graph attached

Answer:

I think the answer will be B 1-9x+C=32

Step-by-step explanation:

Answer:

2 inches

Step-by-step explanation:

first figure is 6x12, so the length is half the width, so side g is 2 cause 1 is half of 2

Answer:

g = 2 inches

Answer:

1/3

Step-by-step explanation:

The cone is three inches and the radius in one inch

The answer is 2.25, or 2 1/4

Step-by-step explanation:

compare the equation with : Y=mX+C

then, for slope of perpendicular equation

m1×m2= -1

As the coordinates lies in origin it is (0,0)

then use the formula of equation of line

expression: 20 - n

numbers of balloons left = total balloons - popped balloons

numbers of balloons left = 20 - n

Answer:

20 - n balloons remained

Explanation:

Finding how much balloons remained:

20 - n balloons remained.

First find slope (m):

[tex]\sf \bold{slope-formula: {\frac{y2-y1}{x2-x1} }}[/tex]

[tex]\rightarrow \sf \dfrac{9-3}{-14-7}[/tex]

[tex]\rightarrow \sf \dfrac{6}{-21}[/tex]

[tex]\rightarrow \sf -\dfrac{2}{7}[/tex]

equation:

y - y₁ = m ( x - x₁ )

[tex]\rightarrow \sf y - 3 = -\dfrac{2}{7} ( x - 7)[/tex]

[tex]\rightarrow \sf y = -\dfrac{2}{7} x +2 +3[/tex]

[tex]\rightarrow \sf y = -\dfrac{2}{7} x +5[/tex]

Answer:

- 12

Step-by-step explanation:

2x14= 28

28-9=19

19-17=2

2- -14= - 12

Answer:

If the rational number is ab then, te reciprocal is ba

Step-by-step explanation:

Suppose that rational number is ab

Then, the reciprocal of that number is ba

Answer:

Start Fraction - 1 Over 8 - End Fraction

(6m-1n0) -3

= (6m-1x1) -3

= (6/m) -3

= (m/6) 3

= (3/6) 3

= (1/2) 3

= 1/8

1/8 is your answer. Hope it helps!

Answer:

The answer is 1/8

Answer:

They are congruent, the side lengths are the same. All that happened was a translation.

Step-by-step explanation:

For a figure to be congruent, it has to be the same size and shape. The size didn't change, just the position.

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