18x + 9y use the distributive property to write an equivalent expression

Answers

Answer 1
Answer: Hey there!
It looks like you have another factoring question!
Using our definition of the distributive property:
a(b+c) = ab+ac
We need to factor our or greatest common multiple, which here is 9.
9 times 2x = 18x and 9 times y = 9y
We have:
9(2x + y)
Once again, using the distributive property, multiply it out and you'll get 18x and 9y.
Hope this helps!

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Compare and contrast the Pythagorean theorem, a circle, and the distance formula

Answers

Answer:

The distance formula is a formalization of the Pythagorean Theorem using x and y coordinates. In other words, they are the same thing in two seemingly different contexts. Every point (x,y) on the circle is related to the circle's center (a,b) by the fact that the distance between the point and the center is a constant (the radius of the circle, r).  Equation of a circle is exactly the Pythagorean theorem with specific values plugged in.

Step-by-step explanation:

Solve for q

- 3/4q = 12

q = ___

Answers

\text{We know: } \n  \boxed{(\ -3\ )/(\ 4\ )*q=12 } \n \n  q=12: (\ -3\ )/(\ 4\ ) \n \n q=12* (\ 4\ )/(\ -3\ ) \n \n q= \frac{\ 48\ }  {\ -3\ }  \n \n q=-16 \n ********** \n \n \text{Check:}\n  \n \boxed{ (-3)/(4)*-16=12 } \n \n  (48)/(4) =12 \ TRUE
(-3)/(4q)=12
Multiply by q to eliminate var in denominator 
( \not q*(3))/(4 \not q) =q*12
q= (-3)/(4) =q*12
Common denominator is 4
( \not 4(-3))/( \not 4) =4q*12
-3=4q*12
-3=48q
Divide  by 48
q=( \not 3)/( \not 4 \not 8)
q=-16
The answer is: q=-16 

Find product of this expression. 4/4*2 pounds

Answers

Answer:

2

Step-by-step explanation:

(Pemdas)

Answer:

4/(4*2) is 1/2 because you do 4 times 2 first while 4/4 * 2 equals 2 as 4/4 is 1 multiplied by 2.

Step-by-step explanation:


the common ratio of a geometric series is 3 and the sum of the first 8 terms is 3280. what is the first term of the series?

Answers

Answer: 1

Step-by-step explanation:

The formula for calculating the sum of a Geometric series if the common ratio is greater than 1 is given as :

S_(n) = (a(r^(n)-1) )/(r-1)

Where S_(n) is the sum of terms , a is the first term , r is the common ratio and n is the number of terms.

From the question:

S_(n) = 3280

a = ?

r = 3

n = 8

Substituting this into the formula , we have

3280 = (a(3^(8)-1) )/(3-1)

3280 = (a(6561-1))/(2)

Multiply through by 2 , we have

6560 = a ( 6560)

divide through by 6560, we have

6560/6560 = a(6560)/6560

Therefore : a = 1

The first term of the series is thus 1

Answer:

1

Step-by-step explanation:

Please help!!!Given the length of three sides of a triangle, which is a right triangle?
(1) 10,26,24
(2) 20,12,18
(3) 30,15,26
(4) 40,50,80

And also explain why it is the answer.

Answers

Pythagorean Theorem: a^2 + b^2 = c^2
c represents the longest side of the triangle
If the triangle is a right triangle, the Pythagorean theorem will be true.

(1) 10,24,26
10^2 + 24^2 = 676
26^2 = 676
10^2 + 24^2 = 26^2
Right Triangle

(2) 12,18,20
12^2 + 18^2 = 468
20^2 = 400
12^2 + 18^2 \neq 20^2
Not a right triangle

(3) 15,26,30
15^2 + 26^2 = 901
30^2 = 900
15^2 + 26^2 \neq 30^2
Not a right triangle

(4) 40,50,80
40^2 + 50^2 = 4100
80^2 = 6400
40^2+50^2 \neq 80^2
Not a right triangle

#1 is a right triangle

Please help me i dont know what the answer is ??

Answers

To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
(180)/(3) = 60
Therefore, the measure of the triangle's angle is 60°

Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.

Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
90=x+60+12 \n 90=x+72 \n 90-72=(x+72)-72 \n 18=x

The missing angle measure, angle x, equals 18°.

Hope this helps!