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Murrr4er [49]
3 years ago
11

Solve by factoring. m^2+6m+5=0

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0

Answer:

<u>-1 and -5</u>

Step-by-step explanation:

m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.

The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.

(m + 1) = 0

(-1 + 1) = 0

This means that one of the values for m is -1.

(m + 5) = 0

(-5 + 5) = 0

This means that one of the values for m is -5.

<u>Moreover, the value of m by factoring is -1 and -5</u>

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Part A
kap26 [50]

Reflecting the polygon FGHI across the line involves flipping the line across the line y = -1

<h3>How to reflect the polygon?</h3>

The coordinates are given as:

F(2, – 1), G(5,2), H(8, 3), and I(6, 0)

The line of reflection is given as:

y = -1

To reflect the line, we apply the following rule of reflection

(x,y) \to  (x,-y-2)

So, we have the following coordinates of the image

F' = (2, – 1)

G' = (5,-4)

H' = (8, -5)

I' = (6, -2)

See attachment for the image of the reflected polygon

Read more about reflection at:

brainly.com/question/4289712

4 0
2 years ago
Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
AfilCa [17]

The volume of a cuboid toy chest is equal to their product of the length,

width, and height.

  • The correct option for the toy chest she should purchase is; <u>Only toy chest A will provide the necessary storage space</u>.

Reasons:

The dimensions of the toy chest are;

Toy chest A;

Length = 5 feet

Width = 4 feet

Height = 2 feet

Toy chest B;

Length = 4 feet

Width = 2 feet

Height = 4 feet

Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³

Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³

The volume of the toy chest Mrs. Smith needs = 35 ft.³

The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³

The correct option is; <u>Only toy chest A will provide the necessary storage space</u>

<em>Possible question options obtained from a similar question found online are;</em>

<em>Either toy chest have the storage space needed</em>

<em>Neither has the storage space needed</em>

<em>Only toy chest A</em>

<em>Only toy chest B</em>

<em />

<em />

Learn more about calculating volumes of various shapes here:

brainly.com/question/3789826

8 0
3 years ago
THIS IS FOR 19 POINTS!!!
zepelin [54]
1).  To multiply with like bases, add the exponents ===>  5² x 5⁵ = 5⁷

2).  Same rule.  e² x e⁷ = e⁹

3).  Same rule, but make sure to start with like bases.

2a⁵ x 6a = (2 x 6) (a⁵ x a¹) = 12 a⁶

4).  Same rule, but make sure to start with like bases.

4x² (-5)x⁶ = (4) (-5) (x² x⁶) = -20x⁸

5).  To divide with like bases, subtract the denominator (divisor) exponent
from the numerator (dividend) exponent. ===> 7⁹ / 7³ = 7⁶

6).  Same rule.    v¹⁴ / v⁶ = v⁸

7).  Same rule, but make sure to start with like bases.

15w⁷ / 5w² = (15/5) (w⁷/w²) = 3 w⁵

8).  Same rule, but make sure to start with like bases.

10 m⁸ / 2m = (10/2) (m⁸ / m¹) = 5m⁷

9).  Same rules.  Add exponents to multiply, subtract them to divide.

( 2⁵ x 3⁷ x 4³ ) / (2¹ x 3⁵ x 4) = (2⁵ / 2¹) x (3⁷ / 3⁵) x (4³ / 4¹) = 2⁴ x 3² x 4²

10).  (4¹⁵) x (-5)⁶ / (4¹² x (-5)⁴ ) = (4¹⁵/4¹²) x [ (-5)⁶/(-5)⁴ ] = 4³ x (-5)² = 4³ x 5²

11).  (6⁷ x 7⁶ x 8⁵) / (6⁵ x 7⁵ x 8⁴) = (6⁷ / 6⁵) x (7⁶ / 7⁵) x (8⁵ / 8⁴)
       You can finish it from here, you Crazy Unicorn you.

12).  [ (-3)⁶ x 10⁵ ] / [ (-3)⁴ x 10³ ]   =  [ (-3)⁶ / (-3)⁴ ] x (10⁵/10³)  
        The last step is yours.  Take it !
4 0
3 years ago
HELPPPPPPP ASAPPPPP<br> Match each graph with the logarithmic function it represents.
OverLord2011 [107]

Answer:

f(x)=3-4 In (x-2)=graph 3

f(x)=3-In x=graph 1

f(x)=In (x+1)=graph 4

f(x)= 2In (x+3)= graph 2

Step-by-step explanation:

Use a graph tool to visualize the functions.Attached are the graphed functions respectively.

5 0
3 years ago
Read 2 more answers
Please help me I will give you the brain thing and extra points. (image below) 2/30
yanalaym [24]

Answer:

4,9

Step-be-step thing

8 0
3 years ago
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