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3 years ago

Factoring Special Cases (400 - 36x^2)

1 answer:

const2013 [10]3 years ago

5 0

Factor out a GCF of 4, then you are left with perfect squares.
4(100-9x^2)
Factor what is left as a difference of perfect squares (the outside and inside terms from FOIL should cancel out which is why each parenthesis has a different sign
f(10+3x)(10-3x)

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Solve for x.Question options:A) 11 B) 13 C) 12 D) 10

babymother [125]

Line YZ is the midsegment of triangle QRS because it connects the midpoints of lines QR and RS. We would solve for x by appying the midsegment theorem which states that the midsegment is half the length of the third side or base. This means that

YZ = 1/2(QS)

x + 2 = 1/2 * (3x - 8)

2(x + 2) = 3x - 8

By opening the parenthesis, we have

2x + 4 = 3x - 8

Collecting like terms, we have

3x - 2x = 4 + 8

x = 12

Option C is correct

7 0

1 year ago

To fill the 18 gallon gas tank in samantha's car, it cost her $49.1. Find the cost per gallon

liubo4ka [24]

Answer:

$2.73 per gallon.

Step-by-step explanation:

Divide 18 from 49.10 to find the unit rate.

49.10/ 18 = 2.7277... <em>The seven is continued.</em>

2.7277... is the unit rate.

The cost per gallon is $2.73

8 0

4 years ago

A band consists of 3 woodwinds for every 7 members of the band. The independent quantity represents the total members of the ban

IgorC [24]

Answer: $k=\frac{3}{7}$

Step-by-step explanation:

For this exercise it is important to remember the following:

The constant of proportionality, which is represented as "k", describe the constant ratio of two quantities that are proportional (the independent and dependent variables).

In this case we know that the independent quantity represents the total members of the band and the dependent quantity represents the woodwind members of the band.

Since the band consists of 3 woodwinds for every 7 members of the band, we can conclude that the constant of proportionality for this relationship is:

$k=\frac{3}{7}$

8 0

3 years ago

So its about grams and kilograms

Kamila [148]

Answer:

it is about grams and kilograms

Step-by-step explanation:

hope this helps

8 0

2 years ago

Read 2 more answers

Given the system of equations, what is the solution? x 3y = 5 x - 3y = -1 {(-4, -3)} {(2, 1)} {(-2, 3)}

PSYCHO15rus [73]

The solution of the equation is (2, 1).

x=2 and y=1

<h3>What do you meant by equation?</h3>

A mathematical assertion that two expressions are equal is known as equating. It can be expressed as either an identity, in which case the variables can take on any value, or a conditional equation, in which case the variables can only have specific values (roots).

<h3>According to the given information:</h3>

We have two options for finding the answer. The first is to solve the equations via term elimination:

x + 3y = 5 ..............1

x - 3y = -1 ...............2

2x = 4 ..............3

With the equation, we can determine x. (3)

x = 4/2

x = 2

To determine y, we may now swap out x=2 in equation (1).

x + 3y = 5

2 + 3y = 5

3y = 3

y = 1

We've discovered x and y now.

x=2

y=1

The second method involves removing x from equation 1.

x + 3y = 5

x = 5 - 3y

In the equation right now, we may substitute x = 5 - 3y......... (2)

x - 3y = -1

(5 - 3y) - 3y = -1

5 - 6y = -1

6y = -6

y = 1

Currently, we can change y=1 in equations (1), (2), or (4) to find x.

We'll apply the equation (1)

x + 3y = 5

x + 3(1) = 5

x + 3 = 5

x = 2

The two variants x = 2 and y = 1 have allowed us to confirm this.

To know more liner equation visit:

brainly.com/question/2995422

#SPJ4

7 0

2 years ago