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Tatiana [17]
3 years ago
5

Find the discriminant. (Must Show Work) -9m^2+m-7=0

Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer:

-251

Step-by-step explanation:

the discriminant .b^2-4ac

=1-4×(-9)×(-7)

=1-252=-251

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Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places
natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

\rm 5 \sin \theta  = 4\\\\\theta = 0.927 , 2.214

Then by the integration, we have

\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\

\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\

On solving, we have

\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

5 0
2 years ago
Evaluate a+b for a=-17 and b=8
In-s [12.5K]

25

substitute 17 for A

substitute 8 for B

should look like this

17+8

then add

should look like this

17+8=25

8 0
3 years ago
Plzz help me <br><br> Solve -24 = 6x. Show your work.
ZanzabumX [31]

Answer:

x = -4

Step-by-step explanation:

-24 = 6x

________

Switch sides:

6x = -24

________

Divide both sides by 6:

6x/6 = -24/6

________

Simplify:

X = -4

3 0
3 years ago
What is the area and perimeter of this triangle
Fynjy0 [20]

Answer:

P= 221cm

A=2044

Step-by-step explanation:

Perimeter : add all sides so 73+92+56= 221 cm

Area: 73(56/2)= 2044

7 0
3 years ago
Read 2 more answers
Maria had a length of fabric to make banners.
kirill115 [55]

Answer:

the fabric was 16.5 m long

Step-by-step explanation:

2.75 * 6 = 16.5

ANSWER CHECK:

16.5 / 6 = 2.75

I hope this helps :}

Brainliest is very much appreciated thank u fran

5 0
4 years ago
Read 2 more answers
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