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tankabanditka [31]
3 years ago
11

Factor & Finding Zeros x^{2} +12x+35=0

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

x = - 7, x = - 5

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)

The factors are + 7 and + 5, since

7 × 5 = 35 and 7 + 5 = 12, hence

x² + 12x + 35 = 0 ← in standard form

(x + 7)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 5 = 0 ⇒ x = - 5

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A rolling pin has two identical cylindrical handles attached to a larger handle that is 12 inches long. The large cylinder measu
yaroslaw [1]

Answer:

Volume of the rolling pin =  246.09 in^{3}  

Step-by-step explanation:

Length of larger cylinder L = 12 in

Diameter of larger cylinder D = 5 in

Diameter of two handles = 1.5 in

Length of two handles = 3 in

Volume of the rolling pin = Volume of two handles + Volume of larger cylinder

Volume of two handles = 2 (\pi r^{2}L)

Volume of two handles =  2 (3.14 × 0.75^{2} × 3 )

Volume of two handles = 10.59 in^{3}  

Volume of larger cylinder = (\pi r^{2}L)

Volume of larger cylinder = (3.14 × 2.5^{2} × 12 )

Volume of larger cylinder = 235.5 in^{3}  

Volume of the rolling pin =  10.59 + 235.5

Volume of the rolling pin =  246.09 in^{3}  

6 0
3 years ago
The y-intercept of the line whose equation is 2x + 5y = 8
Ymorist [56]
2x+5y=8
5y=-2x+8
y=-2/5x+8/5. As a result, the y-intercept is 8/5 or 1 3/5. Hope it help!
5 0
3 years ago
Rhianna painted a circle on a mural in her classroom. The circle has a radius of 5 inches. What is the area of the circle? (Use
Elis [28]

Answer:

A =78.5 in^2

Step-by-step explanation:

The area of the circle is given by

A = pi r^2

A = pi * r^2

A = 25 pi

Using 3.14 for pi

A = 25 (3.14)

A =78.5 in^2

6 0
3 years ago
Help please it is simple
Ira Lisetskai [31]

Answer:

22 Inches Squared

Step-by-step explanation:

A=2(wl+hl+hw)

l = 1

w = 5

h = 1

A=2(5*1+1*1+1*5)\\A=2(5+1+5)\\A=2(11)\\A=22

The surface area should be 22in^2.

Brainilest appreciated.

7 0
3 years ago
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She was late 7 times. $42-$10=$32. $32/8 = 4. The first 3 days she was late plus the other 4 times being late that month is 7 days late.
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