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jok3333 [9.3K]
3 years ago
6

Find the value of p in the figure below.

Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0

From the chord theorem we have:

4\cdot4.5=6\cdot(2p-3)\\\\18=12p-18\\\\12p=18+18\\\\12p=36\qquad|:12\\\\\boxed{p=3}

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Which number replaces the box to make this a true number sentence? 4 × (8 – 5) = (4 × 8) – ( × 5) A. 4 B. 5 C. 12 D. 32
Andre45 [30]
The answer is A: 4. This is easy once you know the order of operations, aka PEMDAS. Parentheses, exponents, multiplication/division, and addition/subtraction.
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Which type of function best models the data in the table--linear quadratic, logarithmic, cubic, or exponential?
kobusy [5.1K]
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7 0
3 years ago
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
Ivan

Answer:

The final answers are x = 10.385 OR x = -0.385  

Step-by-step explanation:

Given the equation is x^2 -4 = 10x

Rewriting it in quadratic form as:- x^2 -10x -4 = 0.

a = 1, b = -10, c = -4.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( 10 ± √(100 -4*1*-4) ) / (2*1)

x = ( 10 ± √(100 +16) ) / (2)

x = ( 10 ± √(116) ) / (2)

x = ( 10 ± 10.77 ) / (2)

x = ( 10 + 10.77 ) / (2) OR x = ( 10 - 10.77 ) / (2)

x = 20.77/2 OR x = -0.77/2

x = 10.385 OR x = -0.385

Hence, final answers are x = 10.385 OR x = -0.385

3 0
3 years ago
Read 2 more answers
Which pair of equations below represent parallel lines? and y = 9 and x = 18 y = 4x + 9 and y = 4x – 9 y = 5x + 15 and y = –5x +
Inessa05 [86]

Answer:

The correct option is 2.

Step-by-step explanation:

The slope of two parallel lines are equal.

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

In option 1, the equation of lines are

y=9

x=18

The first line is a horizontal line and the second line is a vertical line. Therefore they are not parallel line. Option 1 is incorrect.

In option 2, the equation of lines are

y=4x+9

y=4x-9

By using the slope intercept form of a line, the slope of first line is 4 and the slope of second line is 4.

Since the slope of both lines are same, therefore both lines are parallel. Option 2 is correct.

In option 2, the equation of lines are

y=5x+15

y=-5x+15

By using the slope intercept form of a line, the slope of first line is 5 and the slope of second line is -5.

Since the slope of both lines are not same, therefore both lines are not parallel. Option 3 is incorrect.

3 0
3 years ago
Read 2 more answers
1
Alexeev081 [22]

Answer:

The answer is y=-1/4x+11/16

Step-by-step explanation:

y-y=m(x-x1)

y-1=-1/4(x-(-5/4))

y-1=-1/4x-5/16

+1 +1

y=-1/4x+11/16

6 0
3 years ago
Read 2 more answers
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