3x + 4y = 16 Write original equation
3x + 4y - 4y = -4y + 16 Subtract 4y from each side
3x = -4y +16 Simplify
3x/3 = -4y/3 + 16/3 Divide each side by three
x = -4y/3 +16/3 Simplify
I hope this helps!
Here, first we need to calculate for Slope:
m = y2-y1 / x2-x1
m = -1-(-4) / -4-(-2)
m = 3 / -2
m = -3/2
Now, y - y1 = m(x - x1)
y + 1 = -3/2(x + 4)
y + 1 = -3/2x - 6
y = -3/2x - 7
In short, Your Equation would be: y = -3/2x - 7
Hope this helps!
Answer:
4.5, 4, 3.5, 3, 2.5, 2
Step-by-step explanation:
Answer:
(7√6)/2
Step-by-step explanation:
The side ratios in these special triangles are ...
30°-60°-90° triangle: 1 : √3 : 2
45°-45°-90° triangle: 1 : 1 : √2
This tells you the length of the horizontal line is 7√3, and the value of x is ...
(7√3)/√2 = (7√6)/2
_____
<em>Additional comment</em>
Call the length of the horizontal line "y". Then the given ratios tell you ...
7 : y = 1 : √3 ⇒ y/7 = √3/1 ⇒ y = 7√3
and
x : y = 1 : √2 ⇒ x/y = 1/√2 ⇒ x = y/√2
When we rationalize the denominator, we get ...
x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2
Answer:
4 quart of mayonnaise
Step-by-step explanation:
Step 1: The special sauce made with 1:1 ratio of ketchup to mayonnaise.
It means 1 quart of ketchup to 1 quart of mayonnaise.
Step 2: To make 4 quart of sauce.
They need 4 quart of ketchup and 4 quart of mayonnaise.
Therefore, the answer is 4 quart of mayonnaise.
