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Anastasy [175]
2 years ago
6

Describe the similarities and differences in solving the equations 4^5x-1=16 and log4(10x+2)=1 Then solve each question

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
8 0

Answer:

4^5x-1=16

4^5x-1=4²eliminate 4

5x-1=2

5x=2+1

5x=3

x=3/5

log4(10x+2)=1

log4(10x+2)=log4 ⁴

eliminate log4

10x+2=4

10x=4-2

10x=2

x=2/10

x=1/5

difference between the is we use law of indices and logarithm to the questions respectively

similarities is we eliminate there base

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labwork [276]

Answer:

C

Step-by-step explanation:

C. x=7, y=5

4 0
2 years ago
What is the value of x??
Degger [83]

Answer:Answer: x = 2.55

Step-by-step explanation: We will start off with triangle CBD, since it has two sides with known values.

In triangle CBD, the hypotenuse is 6 units (it's facing the right angle).

Using the Pythagoras theorem, CB² = CD² + BD²

6² = CD² + 4.2²

36 = CD² + 17.64

Subtract 17.64 from both sides of the equation

18.36 = CD²

Add the square root sign to both sides of the equation

√18.36 = CD

CD = 4.28 (approximately 4.3)

We can now solve for x in triangle ACD.

The hypotenuse is 5 (because it's facing the right angle)

Using the Pythagoras theorem

AC² = CD² + AD²

5² = 4.3² + x²

25 = 18.49 + x²

Subtract 18.49 from both sides of the equation

6.51 = x²

Add the square root sign to both sides of the equation

√6.51 = x

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Therefore, x = 2.55

5 0
3 years ago
If I like these shoes and they retailed for 225$ but I had a coupon for 15% off how much money will I actually spend
Mariulka [41]

Answer:

$191.25

Step-by-step explanation:

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3 0
4 years ago
Read 2 more answers
The length of of a rectangle is 10mm and the width is 2.5mm, what is the area
attashe74 [19]
The area for rectangle is (l x w) or (length times width) or (length x width) 

*just in case you get confused

so the length is 10, and the width is 2.5 so you plug in.

10 x 2.5 = 25

your answer is 25 mm²

hope this helps
6 0
4 years ago
What is the equation of the line that passes through (0, 3) and (7, 0)?
r-ruslan [8.4K]
The answer should be (C):y=(-3/7)x+3 because:

 if you use the slope formula: (Y2-Y1)/(X2-X1) it would look like this:

(0-3)/(7-0) and the slope of the line would be -3/7

then using the slope you just found, plug it into the y=mx+b equation along with one set of coordinates to find b (the y-intercept):

y=mx+b
0=(-3/7)(7)+b
b=3

SO, overall if you put the slope (m) and the y-intercept (b) that you found together, you get the line formula of y=(-3/7)+3 

5 0
3 years ago
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