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oee [108]
3 years ago
8

Is x = 0 a valid potential solution to the equation log(x + 2) + log(x + 5) = 1? (You don't need to solve this equation, just de

termine if x = 0 is a valid solution) Question 22 options: No, because log(0) is undefined. No, because the logarithm of a negative value is undefined. It can't be determined from the information given. Yes, since log(2) and log(5) both exist as valid values for the logarithm.
Mathematics
1 answer:
Xelga [282]3 years ago
8 0

Answer:

Yes, since log(2) and log(5) both exist as valid values for the logarithm.

didnt check if ur equation is correct though

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Express the following in form, where p and q are integers and q≠ . (0.1282828) find the answer please and thank you
8_murik_8 [283]

Answer: \dfrac{127}{990}.

Step-by-step explanation:

Let x=0.1282828...

Multiply 10 on both sides , we get

10 x = 1.282828...         (i)

Now multiply 100 on both sides , we get

1000x=128.2828...          (ii)

Eliminate (i) from (ii), we get

990x=127\\x=\dfrac{127}{990}

Hence, the required \dfrac{p}{q} form: \dfrac{127}{990}.

7 0
3 years ago
Help anyone can help me do 16 and 17 question,I will mark brainlest.The no 16 question is find the area of the shaded region​
yanalaym [24]

Answer:

Question 16 = 22

Question 17 = 20 cm²

Step-by-step explanation:

<u>Concepts:</u>

Area of Square = s²

  • s = side

Area of Triangle = bh/2

  • b = base
  • h = height

Diagonals of the square are congruent and bisect each other, which forms a right angle with 90°

Segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

<u>Solve:</u>

Question # 16

<em>Step One: Find the total area of two squares</em>

Large square: 5 × 5 = 25

Small square: 2 × 2 = 4

25 + 4 = 29

<em>Step Two: Find the area of the blank triangle</em>

b = 5 + 2 = 7

h = 2

A = bh / 2

A = (7) (2) / 2

A = 14 / 2

A = 7

<em>Step Three: Subtract the area of the blank triangle from the total area</em>

Total area = 29

Area of Square = 7

29 - 7 = 22

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

Question # 17

<em>Step One: Find the length of PT</em>

Given:

  • PR = 4 cm
  • RT = 6 cm

PT = PR + RT [Segment addition postulate]

PT = (4) + (6)

PT = 10 cm

<em>Step Two: Find the length of S to PT perpendicularly</em>

According to the diagonal are perpendicular to each other and congruent. Therefore, the length of S to PT perpendicularly is half of the diagonal

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Three: Find the area of ΔPST</em>

b = PT = 10 cm

h = S to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Four: Find the length of Q to PT perpendicularly</em>

Similar to step two, Q is the endpoint of one diagonal, and by definition, diagonals are perpendicular and congruent with each other. Therefore, the length of Q to PT perpendicularly is half of the diagonal.

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Five: Find the area of ΔPQT</em>

b = PT = 10 cm

h = Q to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Six: Combine area of two triangles to find the total area</em>

Area of ΔPST = 10 cm²

Area of ΔPQT = 10 cm²

10 + 10 = 20 cm²

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
You are saving up money to buy yourself a new hydro flask. You need at least $40 so that you
Amanda [17]

Answer:

$28.75

Step-by-step explanation:

you need $40 and you have $11.25, so you subtract 40-11.25 which gives you 28.75. You need $28.75

8 0
3 years ago
On Wednesday, Jill spent 20 minutes doing her homework. She played outside 10 minutes and then read for 15 minutes. Jill then at
Ilya [14]
She spent 20+10+15=45 in total
7:30-45 minutes=6:45. As a result, Jill starting her homework at 6:45 or C. Hope it help!
7 0
3 years ago
the probability that it will rain tomorrow is 0.85what is the probability that it will not rain tomorrow​
bija089 [108]

Answer:

.15

Step-by-step explanation:

Probability of Rain = x

Probabiliy of No Rain = y

Y=1-X

Y=1-0.85

Y=.15

4 0
3 years ago
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