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svlad2 [7]
3 years ago
8

In the figure above, lines x and y are

Mathematics
1 answer:
Vilka [71]3 years ago
5 0

Answer:

Step-by-step explanation:

a=180 -75

a=105 degree

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Robert stands atop a 1,380-foot hill. He climbs down, reaching the bottom of the hill in 30 minutes. What is Robert’s average ra
Zigmanuir [339]

Answer:

-46 feet/min

Step-by-step explanation:

Initial elevation = 1,380 ft

Final Elevation = 0 feet

Change in elevation

= Final elevation - Initial Elevation

= 0 - 1,380

= - 1,380 feet

Given that the journey took 30 min,

rate of descent = Change in elevation / time

= -1,380 / 30

= - 46 feet/min

3 0
3 years ago
Solving exponential equations with a common base problem in the picture!
Genrish500 [490]

<u>Given</u>:

The given expression is 18^{x^{2}+4 x+4}=18^{9 x+18}

We need to determine the solution of the given expression.

<u>Solution</u>:

Let us solve the exponential equations with common base.

Applying the rule, if a^{f(x)}=a^{g(x)} then f(x)=g(x)

Thus, we have;

x^{2}+4 x+4=9 x+18

Subtracting both sides of the equation by 9x, we get;

x^{2}-5 x+4=18

Subtracting both sides of the equation by 18, we have;

x^{2}-5 x-14=0

Factoring the equation, we get;

x^2-7x+2x-14=0

Grouping the terms, we have;

(x^2-7x)+(2x-14)=0

Taking out the common term from both the groups, we get;

x(x-7)+2(x-7)=0

Factoring out the common term (x - 7), we get;

(x+2)(x-7)=0

x+2=0 \ and \ x-7=0

   x=-2 \ and \ x=7

Thus, the solution of the exponential equations is x = -2 and x = 7.

Hence, Option C is the correct answer.

7 0
3 years ago
at a salsa making competition restaurant a won 56 out of 98 contests restaurant B won 84 out of 147 contests which restaurant ha
kaheart [24]

Answer:

It's a tie!

Step-by-step explanation:

The reason it was a tie is because

56/98 = 0.57 meaning that 57% of Restaurant A won

84/147 = 0.57 meaning that 57% of Restaurant B also won!

7 0
3 years ago
Find the solution of this system of equations<br> 4x - 5y = -12<br> -X + 5y = 18
Natalka [10]

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

7 0
3 years ago
3.Write the product as a trinomial. (2r – 5)(r + 10)
Maurinko [17]
B is the correct answer

5 0
3 years ago
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