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VARVARA [1.3K]
3 years ago
7

Which model represents the factors of x 2+9x+8

Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

x^2+9x+8

(x + blank ) (x + blank)

I factor using the "guess and check" method. There are many ways to factor so its important to find one that works the best for you.

When I first think of factors of 8 I think of 4 and 2

(x+4)(x+2)

we can see that this multiplies to be 8 but it only adds to be 6 so it doesnt work

Next ill use 8 and 1

(x+8)(x+1)

8*1=8

8+1=9

so we see that this works

we arent done yet though

(x+8) and (x+1)

we have to get x by itself

x=-8 and x=-1

Hope this helps!

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A culture of bacteria doubles every two hours. If there are 100 bacteria on the first 2 hours,
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Answer: 1200
2h -100
24h-x
2x= 2400
x=1200
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I GIVE BRAIN LEST Which of the following is true about an
Dafna1 [17]
<h3>Answer:   D) It is affected by tides.</h3>

==========================================================

Explanation:

An estuary is where a river pours into the ocean. So that means fresh water mixes with salt water here. This allows us to rule out choices A and B.

According to NOAA, their site says "Estuaries are one of the most productive ecosystems in the world, so there is a great diversity of animals and plants that live there". In other words, a lot of plants and animals live here, so we can rule out choice C.

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3 years ago
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What is the diameter of the circle of its area is 325 ?
dalvyx [7]
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CAN SOMEONE HELP ME WITH WIYH THIS ?????
fomenos

Answer:

x = 14

Angle B = 121°

Angle C is 59°

Step-by-step explanation:

First we'll find x, then we'll find Angle B (by substituting in x), then we'll find Angle C (bc Angle B and C are supplementary--that us, they add up to 180°)

10x-19 = 7x+23 subtract 7x

3x-19 = 23 add 19

3x = 42 divide by 3

x = 14

Angle B is 10x-19, and if x=14, then its 10(14)-19

Angle B is 140-19

which is 121°

Angle B = 121°

Angle B and Angle C add up to 180°

121° + c = 180°

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Angle C is 59°

8 0
3 years ago
I need help with questions #7 and #8 plz
katen-ka-za [31]

Answer:

7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg

8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg

Step-by-step explanation:

Law of Cosines

c^2 = a^2 + b^2 - 2ab \cos C

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.

Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.

7.

We use the law of cosines to find C.

18^2 = 12^2 + 16^2 - 2(12)(16) \cos C

324 = 144 + 256 - 384 \cos C

-384 \cos C = -76

\cos C = 0.2

C = \cos^{-1} 0.2

C = 78.6^\circ

Now we use the law of sines to find angle A.

Law of Sines

\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}

We know c and C. We can solve for a.

\dfrac{a}{\sin A} = \dfrac{c}{\sin C}

\dfrac{12}{\sin A} = \dfrac{18}{\sin 78.6^\circ}

Cross multiply.

18 \sin A = 12 \sin 78.6^\circ

\sin A = \dfrac{12 \sin 78.6^\circ}{18}

\sin A = 0.6535

A = \sin^{-1} 0.6535

A = 40.8^\circ

To find B, we use

m<A + m<B + m<C = 180

40.8 + m<B + 78.6 = 180

m<B = 60.6 deg

8.

I'll use the law of cosines 3 times here to solve for all the angles.

Law of Cosines

a^2 = b^2 + c^2 - 2bc \cos A

b^2 = a^2 + c^2 - 2ac \cos B

c^2 = a^2 + b^2 - 2ab \cos C

Find angle A:

a^2 = b^2 + c^2 - 2bc \cos A

8^2 = 18^2 + 12^2 - 2(18)(12) \cos A

64 = 468 - 432 \cos A

\cos A = 0.9352

A = 20.7^\circ

Find angle B:

b^2 = a^2 + c^2 - 2ac \cos B

18^2 = 8^2 + 12^2 - 2(8)(12) \cos B

324 = 208 - 192 \cos A

\cos B = -0.6042

B = 127.2^\circ

Find angle C:

c^2 = a^2 + b^2 - 2ab \cos C

12^2 = 8^2 + 18^2 - 2(8)(18) \cos B

144 = 388 - 288 \cos A

\cos C = 0.8472

C = 32.1^\circ

8 0
3 years ago
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