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svetlana [45]
4 years ago
9

What number must you add to complete the square?

Mathematics
1 answer:
NikAS [45]4 years ago
3 0

Whenever you complete a square, you're really taking this:

(x+b)^2=x^2+2bx+b^2 [/tex]

And equating roots. Here, the b is clearly 11 (2b=22 implies b=11), so that means we want 121 as our ending number. That means we should add 121 to both sides to get:

x^2+22x+121=9+121 \implies \\ (x+11)^2=130

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In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
Svetach [21]

Answer:

PR5T represents <em>6754.</em>

P = 6

R = 7

T = 4

Y = 5

Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

   P R 5 T

-  4 7 Y 6

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

    1 9 9 8

To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 <em>i.e.</em> T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

   P R 5 4

-  4 7 Y 6

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

    1 9 9 8

To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

14 - Y = 9

So, Y = 5

Moving to hundred's place:

R - carry - 7 = 9

Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7

Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

So, the number PR5T is <em>6754.</em>

5 0
3 years ago
What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form
erma4kov [3.2K]

Answer:

Step-by-step explanation:

(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope

5 0
3 years ago
Solve for x. Show all work
Rudiy27

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Triangle DGH is isosceles with base angles at D and G. The external angle 134° at H is the sum of those two base angles, so we have ...

  2(5x+7) = 134

  5x +7 = 67 . . . . . divide by 2

  5x = 60 . . . . . . . subtract 7

  x = 12 . . . . . . . . divide by 5

3 0
3 years ago
Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can repre
SSSSS [86.1K]

Equivalent equations are equations of equal values

The system of equations from the given equation are:

y= \log_2(2x) and y=3\log_4(x)

The logarithmic equation is given as:

\log_4(x^3) = \log_2(2x)

Split the above equation as follows:

y = \log_4(x^3)

y= \log_2(2x)

Rewrite y = \log_4(x^3) as:

y=3\log_4(x)

Hence, the system of equations from the given equation are:

y= \log_2(2x) and y=3\log_4(x)

Read more about systems of equations at:

brainly.com/question/14265399

7 0
2 years ago
Find f(18) when using the function f(x)=6x+57
valina [46]
F(x)=6x+57
F(18)=6x+57
F(18)=6(18)+57
F(18)=108+57
F(18)=165
6 0
2 years ago
Read 2 more answers
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