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Marina CMI [18]
3 years ago
12

Please help me with this algebra question. Image attached. Factoring quadratics.

Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer:

x - 6 m.

Step-by-step explanation:

x^2 - 4x - 12

= (x + 2)(x - 6)

So the width is x - 6  m.

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The temperature in a potter's kiln dropped 760 degrees in 4 hours.on what average,how much did the temperature drop per hour?
Elena L [17]
76 divided by 4 is 19. Add a zero and the answer is 190.
Hope this helps you !!
7 0
3 years ago
Fill in the blank. In the triangle below, y=
arsen [322]

Answer:

47.10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Cos = Adjacent/Hypotenuse

The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.

Filling in the given values, we have ...

... cos(42°) = 35/y

Multiplying by y/cos(42°), we can find y to be ...

... y = 35/cos(42°) ≈ 35/0.7431

... y ≈ 47.10

Y will be approximately  47.10 in length

Step-by-step explanation:

we will use this  form that we memorized in our schools ............. SOH CAH TOA

CAH means , Cos ∅= Adjacent/Hypotenuse

Given values

∅ =42°

hypotenuse= y

adjacent side length = 35

now putting in our values  into

Cos ∅= Adjacent/Hypotenuse

OR

cos(42°) = 35/y

by multiplying y on both sides we get

y= 35/cos( 42°)

cos(42°)= 0.743

so  y= 35/0.743    

y = 47.10632

OR

y ≈ 47.10

3 0
3 years ago
What is the greatest common factor of the two expressions?<br> 7a^2<br> 8a^3b^2
Andreyy89

Answer:

a²

Step-by-step explanation:

(see attached for reference)

We can find GCF by expressing each expression into their prime factors

7a² = 7 x a x a

8a³b² = 8 x a x a x a x b x b

by observation, we can see that a x a or a² shows up in both expressions, highlighted in bold here:

7a² = 7 x <em>a x a</em>

8a³b² = 8 x <em>a x a</em> x a x b x b

Hence the greatest common factor is a x a = a²

6 0
3 years ago
Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package. If we want one hot dog for each bun for a picnic,
alisha [4.7K]

Answer:

we need to buy 8 packs of hot dogs and 10 packs of hot dog buns

Step-by-step explanation:

5 0
3 years ago
A dishonest shopkeeper has two false balances. One balance weighs 10% more while
sleet_krkn [62]

Answer:

Shopkeepers gain just by weighing is 22.22%

Step-by-step explanation:

Explanation:

Assume that the shopkeeper bought x units of goods i.e. actual weight of goods.

As the balance used to buy goods weighs 10% more, he actually bought x×110100=1.1x weight units i.e. although the shopkeeper paid for x units, he actually bought 1.1x units by weight.

Now he has 1.1x units of goods, but for selling he uses another balance, which actually measures 10% less i.e. 1−0.10=0.9 units for each unit weight of goods sold.

So while selling 1.1x becomes 1.1x0.90=1.2222... units.

Hence, shopkeepers gain just by weighing is 22.22%

5 0
3 years ago
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