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2 years ago

Select the correct answer.

Mathematics

1 answer:

maw [93]2 years ago

4 0

Answer:

Triangle 1 and triangle 3 are congruent.

Step-by-step explanation:

According to the "SIDE ANGLE SIDE" rule, better known as SAS, the triangle(s) 1 and 3 are congruent.

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10 - 3 (z - 2) = 5z + 7

Alla [95]

Answer:

= 9/8

That's the answer

7 0

3 years ago

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HELP PLEASE. A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of

erastova [34]

Answer:

Step-by-step explanation:

Volume = lwh

120 = l(4)(3)

l = 10 feet

5 0

2 years ago

Find first derivative f(x)= x² - 4 /x³ + 9

vitfil [10]

Answer:

f'(x) = 2x + $\frac{12}{x^{4} }$

Step-by-step explanation:

differentiate using the power rule

$\frac{d}{dx}$ ( a $x^{n}$ ) = na $x^{n-1}$

Given

f(x) = x² - $\frac{4}{x^3}$ + 9 = x² - 4 $x^{-3}$ + 9 , then

f'(x) = 2x + 12 $x^{-4}$ = 2x + $\frac{12}{x^{4} }$

5 0

2 years ago

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If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?

Olenka [21]

Answer:

The LCM of 3a and 2b = 6P

Step-by-step explanation:

LCM of 3 a and 2 b will be 6 p

Since a is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......

b is not divisible by 3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....

LCM of a and b is P

Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )

Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)

So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)

The LCM of 3a and 2b = 6P

3 0

3 years ago

PLEASE HELP FAST

Zigmanuir [339]

Answer:

c=81

Step-by-step explanation:

Take half of b: 18/2=9

Square the result: 9²=81

This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:

x²+18x+81=25+81

x²+18x+81=106

(x+9)^2=106 <-- Final simplification

(x+9

4 0

3 years ago

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