Answer:
8y - 2x + 2
Step-by-step explanation:
Distribute;
8y + 8 - 2x - 6
Combine like terms;
8y - 2x + 2
Triangle a - acute
Triangle b - acute
Triangle c - acute
Triangle d - right
On Saturday Nikki and Tyler walked to the local farmers market Nikki bought 8 apples for $6 dollars and Tyler brought 3 fewer apples than Nikki. How much did Tyler spend on apples?
Tyler brought 8 apples - 3 apples = 5 apples.
To calculate the price of 5 apples we have to establish a proportion :
If 8 apples cost $6
Then 5 apples will cost $X
X = 5apples * $6/8apples = $3.75
Answer : Tyler spent on apples $3.75
Hope this helps!
1 1/2 teaspoons...
A Dozen= 12
5 Dozen= 60
4 Dozen requires 1 teaspoon then add the half which equals 1 1/2 teaspoons
Hope it helped!!!
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76