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Anit [1.1K]
3 years ago
14

Solve by completing the square: 2) 3x2 + 24x - 27 = 0

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0
X = 1
Or
X= - 9
Sorry if it’s wrong first time doing this!
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The area of a hall is 806 sq. ft. Its length is 5 ft greater than its width. Find the dimensions of the hall. Enter the results
BartSMP [9]

Answer:

width is = 26ft

length is = 31ft

Step-by-step explanation:

The area of hall is 806 sq. ft.

length is 5 ft greater than its width.

L = 5+b

L*b = 806

(5+b)*b= 806

5b +b² = 806

B²+5B-806= 0

Solving quadratically

B² +31B -26B -806= 0

B(B+31)-26(B+31)= 0

(B-26)(B+31)= 0

B= 26 or -31

So the value of the width must be positive so the width is = 26ft

If width is 26, length is 26+5 = 31ft

8 0
3 years ago
↔ ↔
MrRissso [65]

Answer:

1. \dfrac{4}{3}

2. y=6x-11

3. 4

Step-by-step explanation:

The equation of the line that passes trough the points A(14,-1) and B(2,1) is

\dfrac{x-14}{2-14}=\dfrac{y-(-1)}{1-(-1)},\\ \\\dfrac{x-14}{-12}=\dfrac{y+1}{2},\\ \\y+1=-\dfrac{1}{6}(x-14),\\ \\y=-\dfrac{1}{6}x+\dfrac{7}{3}-1,\\ \\y=-\dfrac{1}{6}x+\dfrac{4}{3}.

The y-intercept of this line is

y=-\dfrac{1}{6}\cdot 0+\dfrac{4}{3}=\dfrac{4}{3}.

Line BC is perpendicular to line AB, then its slope is 6. Line BC passes through the point B, so

y-1=6(x-2),\\ \\y-1=6x-12,\\ \\y=6x-11.

If the y-coordinate of point C is 13, then x-coordinate is

13=6x-11,\\ \\6x=13+11,\\ \\6x=24,\\ \\x=4.

7 0
3 years ago
5 points
Ahat [919]

Answer:

Students

Step-by-step explanation:

Teachers: 13/20= 0.65 = 65%

Students: 37/50= 0.74 = 74%

74% > 65%

Students are more in favor of the new club than teachers

7 0
2 years ago
What is a literal equation?
DerKrebs [107]
Literal equation is an equation where variables represent known values. Literal equations allow use to represent things like distance, time, interest, and slope as variables in an equation.
3 0
3 years ago
Read 2 more answers
Explain how to do (2^-2/3^3)^4 i need to know how to do this.
cricket20 [7]

Answer:

((2^(-2))÷(3^3))^4=

Step-by-step explanation: expand

5 0
2 years ago
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