In a dilation with a scale factor of 3/4 , the image is __________

-9=k-6

Shkiper50 [21]

Answer:

k = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-9 = k - 6

Step 2: Solve for k

Add 6 to both sides: -3 = k
Rewrite: k = -3

3 0

3 years ago

Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum

Nadusha1986 [10]

Alright, lets get started.

Missing number fom the series : 9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

$6561^2 = 43046721$

It means the missing number will be square of its previous number

Means $9^2 = 81$ , so missing number is 81. : Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, $x = 3y + 2$ ......equation (1)

Their sum is 22 means, $x+y = 22$ .......equation (2)

Putting the value of x from equation1 into equation 2

$3y + 2 + y = 22$

$4y + 2 = 22$

Subtracting 2 in both sides

$4y + 2 - 2 = 22 - 2$

$4y = 20$

$y = 5$

$x = 22 - y = 22 - 5 = 17$

Means numbers are 17 and 5. : Answer

Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as $2^2$

27 could be written as $3^3$

So , next number would be $4^4$

$4^4 = 256$

Next one is $5^5 = 3125$

So, the missing number is 256 : Answer

Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12. : Answer

Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is = $3 * (2-1) = 3$

Between 3 plants, the distance is = $3 * (3-1) = 6$

So, between 23 plants, the distance is = $3 * (23-1) = 3 * 22 = 66$

hene the distance between first and last plant woule be 66 feet. : Answer

7 0

2 years ago

Find the value of x using the diagram below. Round to the nearest whole number. Picture Attached.

VashaNatasha [74]

Both triangles are right triangles. x is the hypotenuse of the upper one. ThePythagorean formula will give the value of x. One side is known, The other side we will find using the fact that the lower right triangle is isosceles. The hypotenuse of an isosceles right triangle has a length of $\sqrt{2}$ times the length of one of the legs. In this case 14. So the hypotenuse of the lower triangle is also the short side of the upper triangle. Using Pythagoras

$25^{2} + (14 \sqrt{2}) ^{2} = x^{2}$

$625 + 392 = x^{2}$

$1017 = x^{2}$

$32 = x$

4 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2036" id="TexFormula1" title="f(x)

Mars2501 [29]

Answer:

B

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = x^2 + 12x + 36$