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3 years ago

How to factor x^2-10x+25?

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

6 0

To factor: Notice that when you factor it should turn out to be a binomial x binomial.

x^2-10x+25

When factoring you can look at the operation at the end right before the last digit. If the operation is positive then you will use the first operation in the binomial for factored number. For example the ending operation is positive and the first operation is subtraction so both binomial will be subtraction.

I know it would be factored (x-5)(x-5) and I can prove it by multiplying it out.

x^2 -5x-5x+25

x^2-10x+25

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A=2/3b,b=15,c=?<br><br><br>please help dear lord

SVETLANKA909090 [29]

Answer:

10.

Divide b into thirds, and then add together 2 of those thirds.

15/3 = 5

5x2 is 10.

Sorry if that doesn't make sense but it's how I do it in my head lol.

5 0

3 years ago

Solve for the missing sides 30-60-90 triangle show work please and thank you

Alex_Xolod [135]

Answer:

$x=8\sqrt{3}$

$y=16$

$x=3$

$y=3\sqrt{3}$

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

$a-a\sqrt{3}-2a$

Where (a) is the side opposite the (30) degree angle, ( $a\sqrt{3}$ ) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ( $\sqrt{3}$ ). Thus the following statement can be made,

$x=8\sqrt{3}$

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

$y=16$

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

$y=3\sqrt{3}$

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

$x=3$

6 0

3 years ago

Find the GCF of 6x^7 and 15x^3?

LekaFEV [45]

I believe the answer is 3x^3

since 3 is the greatest common factor for the whole number and both have at least x to the third

5 0

3 years ago

Which equation is the inverse of y = 7x2 – 10? y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction y = p

lbvjy [14]

Answer:

Letter C

y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot

Step-by-step explanation:

Just took the test.

8 0

3 years ago

Read 2 more answers

Water flows on the Amazon river near the cachoeira de Santuario waterfalls at a velocity 75 meters per second. If a low height r

zysi [14]

Answer:

7.5 MW

Step-by-step explanation:

The power generated from a falling water is a function of its height and volume. The power generated an be calculated using the formula:

Power (P) = Density(ρ) * volume flow rate(Q) * acceleration due to gravity(g) * height(h)

P = ρQgh

But Qh = Velocity(v) * volume(V).

Hence power = ρvgV

Given that ρ of water = 1000 kg/m³, v = 75 m/s, V = 10 m³, g = 10 m/s². Substituting:

P = ρvgV = 1000 * 75 * 10 * 10 = 7500000 W

P = 7.5 MW

4 0

3 years ago