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tangare [24]
2 years ago
12

Which of the following is equivalent to 25x2+16−40x−64y2? Select two.

Mathematics
1 answer:
Marat540 [252]2 years ago
3 0

The equivalent expression to the given expression 25x²+16−40x−64y² are; (5x-4)²−64y² and (5x−4−8y)(5x+4+8y)

<h3>Difference of two squares</h3>

According to the question:

  • We are required to determine the equivalent expression.

When we try to factorise the given expression systematically; we have;

  • 25x²+16−40x−64y² = (25x²+16−40x)−64y²

By the difference of two squares concept;

  • (25x²+16−40x) = (5x-4)²

Therefore, an equivalent expression is; (5x-4)²−64y²

Similarly, (5x-4)²−64y² is the difference of two squares and can be rewritten as; (5x−4−8y)(5x+4+8y)

Hence, we have the suggested expressions as equivalent expressions.

Learn more about equivalent expression:

brainly.com/question/2972832

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Which fraction is equivalent to 50%? (in simplest fraction form) A) 1 2 B) 1 4 C) 2 5 D) 4 5
Tatiana [17]

Answer:

1/2 is equivalent to 50%

Step-by-step explanation:

In order to convert a fraction to a percentage you divide the numerator (Top number of a fraction) by the denominator (Bottom number of a fraction), multiply by 100, and add a percentage sign.

So lets try that with our first answer option A) 1/2:

1 divided by 2 = 0.5

0.5 x 100 = 50

50%

So we know that 1/2 is equivalent to 50%

8 0
3 years ago
Questions, are all in picture, please solve
Andrews [41]

The function represents a <em>cosine</em> graph with axis at y = - 1, period of 6, and amplitude of 2.5.

<h3>How to analyze sinusoidal functions</h3>

In this question we have a <em>sinusoidal</em> function, of which we are supposed to find the following variables based on given picture:

  1. Equation of the axis - Horizontal that represents the mean of the bounds of the function.
  2. Period - Horizontal distance needed between two maxima or two minima.
  3. Amplitude - Mean of the difference of the bounds of the function.
  4. Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.

Then, we have the following results:

  1. Equation of the axis: y = - 1
  2. Period: 6
  3. Amplitude: 2.5
  4. The graph may be represented by a cosine with no <em>angular</em> phase and a sine with <em>angular</em> phase, based on the following trigonometric expression:

    cos θ = sin (θ + π/2)

To learn more on sinusoidal functions: brainly.com/question/12060967

#SPJ1

3 0
2 years ago
What is the correct answer?
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3 years ago
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches.
Debora [2.8K]
<span>You can get those ordered pairs subtracting 9-0.5, then that result minus 0.5 because from the rate the candle reduces its height 0.5inches per each hour.Part B: Is this relation a function? Yes, because each value of x has a single result or output in “y” (image)Part C: Yes, only difference is the time, the candle reduces its height 0.45 inches per each hour, examples of ordered pairs:  (0,9)  (1,8.55) (2,8.1)</span>
5 0
3 years ago
PLS , help me asap :(( , im so frustrated , idk how to do these :c
kolezko [41]

Answer:

y intercept = 5

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

6 0
2 years ago
Read 2 more answers
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