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ddd [48]
3 years ago
5

Katie wants to hang a painting in a gallery. The painting and frame must have an area of 45 square feet. The painting is 6 feet

wide by 7 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?a. 4x^2 + 26x + 45 = 0b. 4x^2 + 26x − 3 = 0c. x^2 + 13x − 3 = 0d. x^2 + 13x + 45 = 0
Mathematics
1 answer:
julsineya [31]3 years ago
4 0

Answer:

4x^2+26x-3 = 0

Step-by-step explanation:

Given that the total area of Frame and Painting is 45 Sq Fts.

Dimensions of painting are 6 feet and 7 feet. Hence.

Let us assume the uniform thickness of frame is x

Hence the Length of frame with painting = 7+2x

and breadth = 6+2x

Area of the frame = length * breadth

45=(7+2x)(6+2x)\\45=42+14x+12x+4x^2\\45=42+26x+4x^2\\4x^2+26x+42-45\\4x^2+26x-3=0\\

Hence option b is correct.

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Please solve and show work
zheka24 [161]

Answer:

Step-by-step explanation:

9. f(g(-n))

g(-n) = -(n²+5) = -n²-5

f(g(-n)) = 2n+1 (-n²-5 )

2n(-n²-5)+1(-n²-5 )

-2n³-10n-n²-5

-2n³-n²-10n-5

n²(-2n-1) +5(2n-1)

(n²+5)(2n-1)

10. (2x+2)(x³+3)

2x(x³+3)+2(x³+3)

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2x³(x+1)+6(x+1)

(2x³+6)(x+1

8 0
2 years ago
un frasco de jugo tiene una capacidad de 3/8 de litro ¿cuantos frascos se pueden llenar con cuatro litros y medio de jugo?
tangare [24]
Tenemos que

la capacidad del frasco es igual a 3/8 de litro
cuatro litros y medio es igual a decir 4 1/2 litros----> (4*2+1)/2----> 9/2 litros

realizamos una regla de tres
 si un frasco tiene capacidad para--------------> 3/8 litros
 X frascos-----------------------------------------> para 9/2 litros
X=(9/2)/(3/8)--------> 72/6-----> 12 frascos

la respuesta es
12 frascos
6 0
2 years ago
Write the equation of the line given the slope and a point through the line passes
Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

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2 years ago
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To round to the nearest hundredth is 42.66
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3 years ago
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The question about triangles is below.
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Answer:

A.

Step-by-step explanation:

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