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What is the percent of change from 45to56

soldier1979 [14.2K]

Answer:

24.44%

Step-by-step explanation:

initial value :45

final value:56

change in value= 56-45=11

percentage change= 11

$\frac{11}{45} \times \frac{100}{1}$

$\frac{1100}{45}$

=24.44%

3 0

3 years ago

Read 2 more answers

Drag the tiles to the boxes to form correct pairs.

FrozenT [24]

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0

3 years ago

Can you fine the cube root of a negative number? If so, is it positive or negative? Explain your answer.

Nata [24]

Answer:

Yes, you can find the cube root of a negative number. The answer will be negative!

Step-by-step explanation:

Example: Find the cube root of -27

We know that a cube root is a number multiplied by itself 3 times (NOT MEANING THE NUMBER TIMES 3)

For example, The cube root of 27 positive is 3 because 3 x 3 x 3 = 27

But if we are using a negative number: It is really different because we got to know the rules.

The setup: -3 x -3 x -3 = -27

If we started with -3 x -3 first we know that a negative times a negative equals positive so the answer will be 9 positive, then we have this equation left:

9 x -3 = -27

The rule with this is a number times a negative is negative, so the answer of the question "Find the cube root of -27 is -3"

6 0

2 years ago

Given: PS=RT, PQ=ST Prove: QS=RS

ivanzaharov [21]

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

5 0

3 years ago

Please help with this postulate! :)

atroni [7]

Answer:

C. ASA postulate

Step-by-step explanation:

We observe two angles and the included side of ABC are congruent to two angles and the included side of DBE:

∠A ≅ ∠D
∠C ≅ ∠ E
AC ≅ DE

This is called ASA

7 0

2 years ago

Read 2 more answers

Bye i won't be back hope y'all having a nice day :)love y'all ⊂((・ᴗ・))⊃​

Bye i won't be back hope y'all having a nice day :)love y'all ⊂((・ᴗ・))⊃