Try this solution (analytic method):
1. if new line is parallel to the given one (y=3x+2) it means the new line has a form y=3x+b, where b - number.
2. In order to calculate 'b', it need to substitute the coordinates of point (6;1) into the equation of the new line:
1=3*6+b, ⇒ b=-17.
3. If to make up the equation of the new line:
y=3x-17
Answer: A
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
Answer:
150 and 30
Step-by-step explanation:
Hello!
Supplementary angles are angles that when added up equal 180
Which can be shown by
x + x = 180
Since one has to be 5 times bigger we put a 5 in front of one of the x's
5x + x = 180
5x is an angle and x is the other
Now we solve for x
5x + x = 180
Combine like terms
6x = 180
Divide by 6
x = 30
Now we put that into each angle
5(30) = 150
30
The answer is 150 and 30
Hope this Helps!
3/(5x) + x = 3/(5x) + x/1 * (5x)/(5x)
= 3/(5x) + 5x²/5x
= (3+5x²) / 5x
For every 9 children, there are 4 adults.
If there are 39 children and adults, we can work backwards to find the answer.
Lets start by multiplying 9. Lets do 3. 9 x 3 = 27.
Ok, now we have an estimate of 27 Children, now all we have to do is multiply the number of adults by 3.
Now we can multiply 4 x 3. 4 x 3 = 12. Now we have the number of children and adults.
Now lets add these together. 12 + 27 = 39! Perfect! Now we know that there are 27 children, and 12 adults.
Hope this helps!!
