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3 years ago

Factor completely, then place the answer in the proper location on the grid. a2 - 25b2

Mathematics

1 answer:

Arturiano [62]3 years ago

6 0

Step-by-step explanation:

a² - 25b² can be expressed as a² - (5²)b²

this gives us: a² - (5b)²

using difference of two squares, we have:

(a - 5b)(a + 5b)

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Find the slope of the line passing through the points ( 2, 6) & (6, 5).

umka21 [38]

The slope is -1/4
hope this helped

8 0

4 years ago

Read 2 more answers

1) Find an equation of the tangent line at each given point on the curve.x = t2 − 4, y = t2 − 2tat (0, 0)at (−3, −1)at (−3, 3)2)

Anastasy [175]

Answer:

1) at ( 0,0) : y = x/2. at(-3-1) : y = -1. at(-3,3) : y = 2x +9

2) DNE ( does not exist )

Step-by-step explanation:

The general equation of tangent line

y - y1 = m( x - x1 )

attached below is the detailed solution on how i derived the answers above

8 0

4 years ago

Which fraction is equivalent to 5(z+3)-4(1+p)? A. 15z-4p B. 5z+19+4p C. 5z+11-4p

Mila [183]

C 5z+11-4p.

5(z+3)-4(1+p)
5z+15-4-4p
5z+11-4p

8 0

3 years ago

The ratio of two numbers is 8:7. The product of these numbers is 896. What is the smaller of these two

Darina [25.2K]

Answer:

Step-by-step explanation:

You want the smaller of the two factors of 896 that have the ratio 8:7.

<h3>Setup</h3>

Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...

x(8/7)x = 896

(8/7)x² = 896

<h3>Solution</h3>

Multiplying by the inverse of the coefficient of x², we have ...

x² = (7/8)(896) = 784

x = √784 = 28 . . . . . . . . take square root

The smaller of the two numbers is 28.

Additional comment

The larger is (8/7)(28) = 32.

5 0

2 years ago

Simplified (4x3 - 5x2 + 3x) + (-2x3 - x2 + 6x)

bogdanovich [222]

Answer:

Answer is imaginary roots

Step-by-step explanation:

$({4x}^{3} - {5x}^{2} + 3x) + ( - {2x}^{3} - {x}^{2} + 6x) \\ 2 {x}^{3} - 6 {x}^{2} + 9x = 0 \\ dividing \: by \: x \\ 2 {x}^{2} - 6x + 9 = 0 \\ dividin g\: by \: 2 \\ {x}^{2} - 3x + \frac{9}{2} = 0 \\ shifting \: the \: constant \: term \: on \: right \: side \\ {x}^{2} - 3x = - \frac{9}{2} \\ adding \: \frac{1}{2} \times (coefficient \: of \: x) \: whole \: square \\$

On solving the above mentioned equation we get some imaginary values.

 HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

6 0

3 years ago