32. Factor the following Quadratic: x2 + 4x - 12

Mathematics

1 answer:

Juliette [100K]3 years ago

3 0

Answer:

(x-2)(x+6)

Step-by-step explanation:

Use the method ac sum of b

Ac is -12

b is 4

find factors that multiply to -12 and add to -4

put x in front of the two factors so that you get the answer specified

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The numbers Of students in the four sixth-grade classes at Northside School are 26,19,,34,and 21.Use the properties to find the

Dafna11 [192]

Basically there are 3 addition properties and they are associative property, identity property, and commutative property.

Commutative property is just changing the order of the addends. Example: 26+19+34+21= 21+34+19+26

Identity Property is just adding a 0 to the number that doesnt change anything. Example: 26+19+34+21 +0 = 100

Associative property is just changing the grouping of the addends. Example: (26+19) + (34+21)

I know these properties may be complicated i know inhate them too haha but i hope i helped :) if you want you can search up the distributive property too but its with multiplication and addition combined and its harder but i think these are the 3 main properties.

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3 years ago

I'm confused how you split the fraction

slava [35]

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3 years ago

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Use the distributive property to rewrite and find 4 x (25 + 4). Thanks.

sesenic [268]

116 , (4 * 25) + ( 4 * 4 )
4 x (25 + 4)
4 * 25
4 * 4
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4 * 25 = 100
4 * 4 = 16
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3 years ago

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A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a r

svet-max [94.6K]

Answer:

a. 0.588

b. 0.0722

c. 4.576 sqft/sec

Step-by-step explanation:

Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, $h^2 + b^2 = 16^2 = 256 \dotsc\;(1)$ because it is a right angle triangle.

It is given that $\frac{db}{dt} = 1$

Now differentiate (1) with respect to t (time) :

$\displaystyle{2h\frac{dh}{dt} + 2b\frac{db}{dt} = 0 \implies \frac{dh}{dt} = -\frac{b}{h} \frac{db}{dt}}$

$\displaystyle{=-\frac{b}{\sqrt{256 - b^2}} \frac{db}{dt} = -\frac{8}{13.856} \times 1 = -0.588}$

The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.

b. From the diagram, infer that $16 \sin{\theta} = b$ . When b = 8, then $\theta = \arcsin{0.5} = \ang{30}$ .

Differentiate the above equation w.r.t t

$\displaystyle{16 \cos{\theta} \frac{d\theta}{dt} = \frac{db}{dt} \implies \frac{d\theta}{dt} = \frac{1}{16 \cos{\theta}} = \frac{1}{13.856} = \mathbf{0.0722}}$