Answer:
$16.25 $15.95 $15.75
Step-by-step explanation:
because a 15% tip is $3.00
Answer: the diagonal is 10 units
Step-by-step explanation:
The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.
To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 5² + (5√3)²
d² = 25 + 25×3 = 100
d = √100
d = 10 units
Answer:
Step-by-step explanation:
y = -x^2+4x-6x +24
y = -x^2 -2x + 24
Vertex (x) = 2/-2 = -1
Vertex (y) = -100/ -4 = 25
Vertex (-1, 25)
axis of symmetry: x= -1
-x^2 -2x + 24 = 0
Δ/4 = 1+24 = 25
x1 = (1 + 5)/-1 = -6
x2 = (1-5)/-1 = 4
left x intercept = (-6,0)
right x intercept = (4,0)
The DOMAIN is the set of all numbers
The range is y less than or equal to 25
7x + 18 = 8x
8x-7x = 18
x = 18
3y = 2x
3y = 2(18)
3y = 36
y = 12
The dimensions are 60 yards by 100 yards
Proof:
Let the wdth be x and the length be x+40
x(x+40)=6000
x²+40x=6000
x²+40x-6000=0
use the quadratic formula
x= -40+ or - √40²-4*1*-6000
x= 60, -100
but distance but be positive so the dimensions are 60 yards by 100 yards
