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3 years ago

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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3 years ago

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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

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