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Anvisha [2.4K]
3 years ago
6

*Brainliest* I need help with 4 problems like this...KHAN ACADEMY.

Mathematics
1 answer:
Sedaia [141]3 years ago
5 0

9514 1404 393

Answer:

  1. (x +1)² = 4
  2. (D)  x = -1 ±2

Step-by-step explanation:

Start by getting the x-terms on one side of the equal sign. We can do that by subtracting x from both sides.

  3 = x² +2x

Now, add the square of half the x-coefficient.

  3 +1 = x² +2x +1

  (x +1)² = 4 . . . . . . . . write as a square in the desired form

__

To solve, take the square root, and add the opposite of the left-side constant.

  x +1 = ±2

  x = -1 ±2 . . . . . . matches choice (D)

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Use all 4 operations and at least one exponent to write and expression that has a value of 10
Yuki888 [10]

5+5=10

15-5=10

5x2=10

20/2=10

10^1 (10 to the power of 1) or 0.1^-1 (0.1 to the power of -1)

7 0
3 years ago
What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!
Mandarinka [93]

Answer:

C) If you live in a mansion, then you do not have a small lawn to mow.

Step-by-step explanation:

<u> Statement is </u>

  • If you have a small lawn to mow, then you do not live in a mansion.
  • "If p then q"

<u>Equivalent statements to the given one: </u>

  • 1. Not p or q
  • 2. q or not p
  • 3. If not q then not p

<u>Options to identify equivalent statement </u>

A)  If you have a small lawn to mow, then you live in a mansion.

  • False

B)  If you do not have a small lawn to mow, then you live in a mansion.

  • False

C) If you live in a mansion, then you do not have a small lawn to mow.

  • True as per rule 3

D)  If you do not live in a mansion, then you have a small <u>yard </u>to mow.

  • False

Correct answer is option C

8 0
3 years ago
Can someone solve 6 and 7 for me I will mark you the brainly pls help I will really appreciate
lidiya [134]

Answer:

6) x = 36°, y = 18°

7) z = 7°

Step-by-step explanation:

6) 2x + 3x = 180°

5x = 180°

x = 36°

4y = 2x = 72°

y = 18°

7) 2z + 4 = 4z - 10

2z = 14

z = 7

5 0
3 years ago
What is the graph of the inequality 3x+2y&gt;-5
Doss [256]

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the x-intercept and y-intercept for given equation.

For  x-intercept , substitute y=0

Considering inequality sign as equality and simplifying,

3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3} , point is (-\frac{5}{3} ,0)

Similarly,

For y-intercept , substitute x=0

We get,

3x+2y=-5\\0+2y=-5\\y=-5/2 , point is (0,-\frac{5}{2})

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

4 0
3 years ago
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