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MrRissso [65]
3 years ago
11

Factor this expression. x2 + 9x + 16

Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0

Answer:

Read below.

Step-by-step explanation:

Hey there, grab your solution:

x²+9x+16=0

Sqrt(D)=sqrt(17)

So x is:

(-9+sqrt(17))/2

And (-9-sqrt(17))/2

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Use the equation of the circle centered at the origin and
Serggg [28]

Answer:

Step-by-step explanation:

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2

If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:

(0-0)^2+(5-0)^2=r^2 and

0^2+5^2=r^2 so

r^2=25  Our circle's equation is

x^2+y^2=25

Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:

4^2+4^2=25

Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because

4^2+4^2>25

If the inequality < were true then the point would lie inside.

5 0
3 years ago
circle a has a radius of 7 and arcs rc cs and sm are congruent to the nearest hundereth what is the length of arc rc
oksian1 [2.3K]
The complete question in the attached figure

we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
<span> they are all congruent
so
divide 180 by 3 ----------------> 180/3=60</span>°


Find the length of arc rc=60°<span>

if 360</span>°----------------> (2*pi*7) length of circumference 
60° -------------------> X
<span>X=60*2*pi*7/360------------> 7.327 units

the answer is
</span>the length of arc rc= <span>7.33 units

</span>

3 0
3 years ago
Find the measure of DB (a curvy line is on top of DB btw)
klasskru [66]

Answer:

Arc DB = 146

x = 5

Step-by-step explanation:

Remark

The relationship between the large arc, the small arc and the intersecting angle is

1/2 (large arc - small arc) = intersecting angle.

Givens

Large arc = 25x + 21

Small arc = 96

5x

Solution

1/2*(25x + 21 - 96) = 5x*2            Multiply both sides by 2

25x + 21 - 96 = 10 x                     Combine      

25x - 75 = 10x                             Subtract 25x from both sides

-75 = 10x - 25x

-15x = -75

x = 5

DB = 25x + 21

DB = 25*5 + 21

DB = 125 + 21

DB = 146

Tell me if this is not in the choices.

5 0
3 years ago
Car traveling at 262.5 miles in 31/2 hours what was the car speed
lidiya [134]

Its 75 miles per hour hope you understand

6 0
3 years ago
Please help me!!! :(
PSYCHO15rus [73]

Answer:

15.75x^{10}y^{19}

Step-by-step explanation:

To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.

After applying the binomial theorem and simplifying, you should get:

512x^{18}y^{27}-576x^{16}y^{25}+288x^{14}y^{23}-84x^{12}y^{21}+\frac{63x^{10}y^{19}}{4}-\frac{63x^8y^{17}}{32}+\frac{21x^6y^{15}}{128}-\frac{9x^4y^{13}}{1024}+\frac{9x^2y^{11}}{32768}-\frac{y^9}{262144}

Our 5th term here is: \frac{63x^{10}y^{19}}{4} which is equal to 15.75x^{10}y^{19}

~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~

4 0
3 years ago
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