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VikaD [51]
3 years ago
14

Fill in the missing value to make the equations true.

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

a) 7/4 b) 5 c) 2

Step-by-step explanation:

Logrithmic Rule for a and b

Let a, M, N be positive real numbers.

a)  

logaM - logaN = loga(M/N)

log9(7) - log9(4) = log9 (7/4)

b)

logaM + logaN = logaMN

log2 (x) + log2(9) = log2(45)

x9=45

(x9)/9 = 45/9

x = 5

c)

Change of base formula.

logb​(x)=logd​(b)/logd​(x)​

x log6(5) = log6(25) divide each term by log6(5)

x log6(5) / log6(5) = log6(25) / log6(5)   Cancel common factor log6(5)

x = log6(25) / log6(5)

x = log6(5^2) / log6(5)

Expand log6(5^2) by moving 2 outside the logarithm.

x = 2log6(5) / log6(5) cancel the like term log6(5)

x = 2

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topjm [15]

Answer:

Step-by-step explanation:

4x^{2} - 6 = 394

4x^{2}  = 400

x^{2} = 100

x = 10

8 0
2 years ago
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Answer this question, and dnt answer it if u dnt know the answer :|
Alina [70]

Answer: 45

Step-by-step explanation:

The sides are 2x,3x,4x

Add them up and you have 9x=45

8 0
2 years ago
Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles
Allushta [10]

The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.

  • a. The inequality that represents the miles that Sherrod and Kamar drives is; <u>x + y ≤ 900</u>
  • b. Two possible combination of <em>x</em> and <em>y</em> are; <u>(600, 300) and (300, 600)</u>

Reasons:

a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles

Sherrod's speed = 60 mph

Kamar's speed = 50 mph

The distance Sherrod drives = x

The distance Kamar drives = y

a. The miles driven by Sherrod and Kamar is given by the inequality;

  • <u>x + y ≤ 900</u>

b. Two possible combinations are;

First possible combination;

Sherrod drives for 10 hours, which gives;

Distance Sherrod drives = 60 mph × 10 hour = 600 miles

Kamar drives for 900 miles - 600 miles = 300 miles

Which gives;

Sherrod drives for 600 miles and Kamar drives for 300 miles

  • <u>First combination; (600, 300)</u>

Second possible combination;

The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles

  • <u>Second combination; (300, 600)</u>

Learn more about inequalities here:

brainly.com/question/22976364

6 0
2 years ago
Can someone help me on all of these
lisov135 [29]

Answer:

See below!

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Yes!

1) Centre

2) Radius {Plural: Radii}

3) Diameter

4) Arc

5) Pi is the ratio of a circle's circumference to its diameter

6) 3.14

7) 6m

8) 7 in

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!

7 0
3 years ago
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Evatuate expreeion of the valube 5 (9+d) - 6
sammy [17]

Answer:

39 + 5d

Step-by-step explanation:

First multiply 5 by 9 and 5 by d then subtract 6 from 45 (which you get from multiplying 5 by 9) and you get 39 and multiply 5 by d so you get 39 + 5d

7 0
2 years ago
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