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mihalych1998 [28]
3 years ago
9

This is a proportion. What is the value of X?

Mathematics
1 answer:
Verizon [17]3 years ago
7 0

Answer:

x = 15 or x = - \frac{2}{5}

Step-by-step explanation:

Cross- multiplying gives

(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )

238x² + 172x + 30 = 243x² + 99x

rearrange into standard form : ax² + bx + c = 0

5x² - 73x - 30 = 0 ← in standard form

consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )

the factors are - 75 and + 2

Use these factors to split the middle term

5x² - 75x + 2x - 30 = 0 ( factor by grouping )

5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)

(x - 15)(5x + 2) = 0

equate each factor to zero and solve for x

x - 15 = 0 ⇒ x = 15

5x + 2 = 0 ⇒ x = - \frac{2}{5}


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ZX is perpendicular bisector of WY if WY=24 what is WX
bixtya [17]

Answer:

12

Step-by-step explanation:

6 0
3 years ago
Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5?
Mrrafil [7]

Answer:

The difference is a binomial with a degree of 6

Step-by-step explanation:

Given:

a^3b + 9a^2b^2 − 4ab^5 and a^3b − 3a^2b^2 + ab^5

Let A = a^3b + 9a^2b^2 - 4ab^5

B= a^3b - 3a^2b^2+ab^5

The difference between A and B is

A - B = a^3b + 9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2 + ab^5)

Open parenthesis

A - B= a^3b + 9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2 - ab^5

= a^3b - a^3b + 9a^2b^2 + 3a^2b^2 - 4ab^5 - ab^5

= 12a^2b^2 - 5ab^5

The fist term 12a^2b^2 has 2+2=4 as a degree

The second term 5ab^5 has 1 +5 =6 as a degree

Therefore,

the answer is: The difference is a binomial with a degree of 6

3 0
3 years ago
On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 4), a
Mumz [18]

Answer:

9.7 miles

Step-by-step explanation:

The shortest distance between 2 points is a straight line

The distance from point A to point B is

d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)

d = sqrt( ( 3 - -3)^2 + ( 4-1) ^2)

d = sqrt( ( 6)^2 + ( 3) ^2)

d = sqrt(36+9)

d = sqrt(45)

d =6.7  to the nearest tenth

The distance from point B to point C is

d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)

d = sqrt( ( 3 - 3)^2 + ( -2-4) ^2)

d = sqrt( ( 0)^2 + ( -6) ^2)

d = sqrt(36)

d = 6

But They only made it half way so 1/2 (6) =3

Add the distances together

6.7+3 = 9.7 is the minimum distance

7 0
3 years ago
8xy+4xy^2<br> what is the result ?
Molodets [167]

Answer:

4xy(2+y)

Step-by-step explanation:

Factor  4 x y  out of  8 x y .

4xy(2)+4xy^2

Factor 4xy out of 4xy^2

4xy(2) + 4xy(y)

Factor  4 x y  out of  4 x y ( 2 )  +  4 x y ( y ) .

4xy(2+y)

hope this helps :)

7 0
3 years ago
What is the quoteint of<br> 3/4 and 5/6
Novosadov [1.4K]

Answer:

9/10

Step-by-step explanation:

Very simple, Keep It, Change It, Flip it

Do 3/4 X 6/5 and you should get your answer

5 0
3 years ago
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