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3 years ago

Find each product by distributing. (2a - 5)(a? – 2a + 1)

Mathematics

1 answer:

Westkost [7]3 years ago

5 0

Answer:

A = 1 , 1 , $\frac{5}{2}$

Step-by-step explanation:

Given equation as

(2a -5) (a² -2a +1) = 0

Or, (2a - 5) (a - 1 )² = 0

Or, (2a - 5) (a - 1) (a - 1) = 0

So, value of a are :

2a - 5 =0, a - 1 =0, a- 1 = 0

i.e a = $\frac{5}{2}$

and a = 1 , 1

Answer

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3 years ago

Find the coordinates of the point where the line <img src="https://tex.z-dn.net/?f=y%3D5x%2B7%5C%5C" id="TexFormula1" title="y=5

Anvisha [2.4K]

Answer:

(0, 7)

Step-by-step explanation:

The point that crosses the y-axis is called the y-intercept of the line.

We are given an equation of the line and we need to determine the y-intercept. This can be done by determining the constant in the equation.

What are constants?

Constants are such terms that include only numbers. There should be no variables in constants.

We know that:

$\bullet \ \text{Given equation of line: y = 5x + 7}$

The constant we can see in the equation is "7". Therefore, the y-intercept is 7.

Note: The y-intercept of the line must have an x-coordinate of 0.

Therefore,

⇒ Coordinates of y-intercept: (x, y) ==> (0, 7).

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2 years ago

If the flare is launched with an initial velocity of 144 feet per second, find the height after 2 seconds. The answer is not 288

Rashid [163]

H= ut -16 t^2

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4 0

3 years ago

A rain storm came through Clifton park and it was accumulating 2/3 inches of rain/hour. How many inches of rain would fall in 6

nlexa [21]

4 inches of rain would fall in 6 hours

<h3>Solution:</h3>

Given that, A rain storm came through Clifton park

And it was accumulating $\frac{2}{3}$ inches of rain/hour

So amount of rain accumulated in 1 hour = $\frac{2}{3}$

Thus amount of rain accumulated in six hours is calculated by multiplying the amount of water accumulating per hour and 6

Amount of water accumulated in 6 hours = Amount of water accumulated in 1 hour $\times$ 6

$\text { Amount of water accumaulated in 6 hours }=\frac{2}{3} \times 6=4$

Another way:

Let "n" be the amount of rain accumulated in 6 hours

1 hour ⇒ $\frac{2}{3}$ rain accumulated

6 hours ⇒ "n"

By cross multiplication, we get

$6 \times \frac{2}{3} = 1 \times n\\\\n = \frac{2}{3} \times 6 = 4$

Hence, 4 inches of rain would fall in 6 hours.

4 0

3 years ago