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4 years ago

Find the missing length.

Mathematics

1 answer:

Ivanshal [37]4 years ago

7 0

Find this using the pythagoream theorem for right triangles.

a^2+b^2=c^2
12^2+9^2=c^2

144+81= c^2
225=c^2
15=c

Final answer: c=15

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Subtract-a^2-5ab+3ab^2 from 3a^2-2ab+3b2

sergejj [24]

The correct answer is 4a^2 + 3ab

In order to find this, we can write the equation out as described and then follow the order of operations.

3a^2 - 2ab + 3b^2 - (-a^2 - 5ab + 3b^2) ----> Distribute the negative

3a^2 - 2ab + 3b^2 + a^2 + 5ab - 3b^2 ----> Combine like terms

4a^2 + 3ab

5 0

3 years ago

Read 2 more answers

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on

Nadusha1986 [10]

Answer:

f=15n

Step-by-step explanation:

4 0

4 years ago

The amount of time it takes p people to paint d doors varies directly with the number of doors and inversely with the number of

Talja [164]

Step-by-step explanation:

time ∝ number of door 1

time . ∝ 1/number of people. 2

compare equation 1 and 2

time . ∝ number of door / number of people

put k as constant

time = k number of door / number of people. 3

time =2. people=4 door = 10

putting in equation 3

2 = k (10)/(4)

2×4/10 = k

8/10 =k

4/5 =k

putting in equation 3

time= 4/5 number of door / number of people

now time =5 door= 25 people=?

5=4/5 (5)/ (number of people)

number of people =4/5 ×25/5

number of people= 4

4 0

3 years ago

Read 2 more answers

Lingjin drove from los angeles to ventura during rush hour at an average speed of 4545 miles per hour, and then drove back the s

Softa [21]

45mph times x hours one way
30mph times y hours back
x+y=3 hours 15 minutes

45mph(x)=z miles
30mph(y)=smiles
so
$45x = 30y \\ x = \frac{30}{45} y \\ x = \frac{2}{3} y$
and substituting we know 15 minutes is 1/4 an hour so we have
$x + y = 3.25 \\ \frac{2}{3} y + y = 3.25 \\ \frac{5}{3} y = \frac{13}{4} \\ y = \frac{13}{4} ( \frac{3}{5} ) \\ y = \frac{39}{20}$
so 1.95 is how long they were going 30mph
1.95hours time 30mph is 58.5 miles.
so that is the distance. check by putting in y and solving for x. multiply x by 45 and you should get the same distance

3 0

3 years ago

Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?

Serga [27]

Answer:

No, They are not equivalent

Step-by-step explanation:

The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.

The variable in this question is x.

To prove this, we equate both expressions:

$10x + 6 = 5x + 11$

$10x - 5x = 11 - 6\\\\\\5x = 5\\\\\\x = 1$

This shows that they have the same value ONLY when x is 1.

This is why Andre says that they are equivalent, but they are not.

8 0

4 years ago