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Step2247 [10]
3 years ago
9

What is the factorization of 3x2 – 8x + 5?

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

For this case we must factor the following expression:

3x ^ 2-8x + 5

We rewrite the middle term as a sum of two terms whose product is

a * c = 3 * 5 = 15

And whose sum is

b = -8

These numbers are:

-5 and -3

So:

3x ^ 2-5x-3x + 5

We factor the maximum common denominator of each group:x (3x-5) - (3x-5)

We take common factor(3x-5):

(3x-5) (x-1)

Answer:

(3x-5) (x-1)

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These polygons are similar. Which similarity statement is correct?
vodomira [7]

Answer:

A B C D is similar to F G H E

Step-by-step explanation:


Here we can see that

 A= F= 110 degrees

B = G= 70 degrees

C= H = 110 degrees

D= E = 70 degrees

Therefore

A B C D is similar to F G H E

so the option 3rd  correct.



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3 years ago
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3 years ago
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Use cosine to find the missing value round to 2 decimal places #trigonometry
Naddika [18.5K]

Answer:

1. 17.27 cm

2. 19.32 cm

3. 24.07°

4. 36.87°

Step-by-step explanation:

1. Determination of the value of x.

Angle θ = 46°

Adjacent = 12 cm

Hypothenus = x

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 46 = 12/x

Cross multiply

x × Cos 46 = 12

Divide both side by Cos 46

x = 12/Cos 46

x = 17.27 cm

2. Determination of the value of x.

Angle θ = 42°

Adjacent = x

Hypothenus = 26 cm

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 42 = x/26

Cross multiply

x = 26 × Cos 42

x = 19.32 cm

3. Determination of angle θ

Adjacent = 21 cm

Hypothenus = 23 cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 21/23

Take the inverse of Cos

θ = Cos¯¹(21/23)

θ = 24.07°

4. Determination of angle θ

Adjacent = 12 cm

Hypothenus = 15cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 12/15

Take the inverse of Cos

θ = Cos¯¹(12/15)

θ = 36.87°

8 0
3 years ago
Which property of equality is used in solving x + 8 = 9?
stiv31 [10]

Answer:

Subtraction Property of Equality.

Step-by-step explanation:

To solve x + 8 = 9, you need to subtract 8 from both sides of the equation. So, you would be using the Subtraction Property of Equality.

Hope this helps!

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3 years ago
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Under which angle conditions could a triangle exist? Check all that apply.
Komok [63]
<span>Triangles exist:
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</span>
Triangles DON'T exist for:
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4 years ago
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