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Licemer1 [7]
3 years ago
15

Algebra 2 help please ASAP

Mathematics
1 answer:
Burka [1]3 years ago
3 0

Answer:

The option A,D and E are correct.

Step-by-step explanation:

Given: 2x^3-250x^2

Factor : 2x^2(x-125)

So, GCF = 2x^2

Now a = 1 and b= 5

we know that a^3-b^3 = (a-b)(a^2+ab+b^2)

(x)^3 - (5)^3 = (x-5)(x^2+5x+25)

So, the option A,D and E are correct.

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The triangles shown are congruent.
cestrela7 [59]

The correct congruence statement is SSS, or Side-Side-Side. We see that lines QD and MC are equivalent, QJ and MW are equivalent, and lines DJ and CW are equivalent

4 0
3 years ago
Read 2 more answers
Given m|n, find the value of x and y.
galben [10]

We know that m ║ n.

Let's first find the value 'x'.

When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.

This means that (5x + 16)° and (7x + 4)° are equivalent.

Equating them,

5x + 16 = 7x + 4

16 - 4 = 7x - 5x

12 = 2x

x = 12/2

x = 6°

Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.

5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.

7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.

Now let's find the value of 'y'.

If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.

This means that both those angles should add upto 180°.

Using that theory, the following equation can be framed:

(y + 6)°+ (7x + 4)° = 180°

Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.

(y + 6)° + 46° = 180°

y + 6 + 46° = 180

y + 52° = 180°

y = 180° - 52°

y = 128°

Therefore, the values of 'x' and 'y' are 46° and 128° respectively.

Hope it helps. :)

5 0
3 years ago
Find all solutions to the equation in the interval [0, 2īt).<br> 4) sin 2x = -sin x
Sonbull [250]

Answer:

x={0, 2pi/3, pi, 4pi/3}

Step-by-step explanation:

First, move sin x by adding sin x to both sides. sin 2x+ sin x = 0. Next using the double angle identity, sin 2x=2(sin x)(cos x), so 2(sin x)(cos x)+sinx=0. Factoring, sin x(2cos x +1)=0. Solving, sin x=0 and 2cos x +1 = 0, or cos x = -1/2.

sin x = 0. Using the unit circle, sin x=0 when x=0 and x=pi.

cosx=-1/2. Using the unit circle, cos x= -1/2 when x=2pi/3 and x=4pi/3.

8 0
3 years ago
The diameter of a circular garden is 22 feet. What is the approximate area of the shaded region
SOVA2 [1]

Answer:

Step-by-step explanation:

The radius it .5 of the diameter so in this case the radius is 11.  The formula for area is pi*r^2= pi*11^2=pi*121=380.13

7 0
3 years ago
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John borrowed $150,500 to start up his business. He borrowed the money at a 7.75% simple
zalisa [80]

Answer:

John have to pay back $23,327.50 at the end of two years

Step-by-step explanation:

Simple Interest (I) = (PRT) ÷ 100

where P = Principal, R = Rate, T= Time

I = ($150500 × 7.75 × 2) ÷ 100

I = ($2332750) ÷ 100

I = $23,327.50

6 0
3 years ago
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