Answer:
a. (2+3)×4²+1=81
b. (2+3)×(4²+1)=85
c. 2+(3×4²)+1=51
d. 2+3×(4²+1)=53
Step-by-step explanation:
a. Parentheses about the 2 + 3 - then use PEMDAS to give 5 * 16.
b Inserting 2 parentheses makes it 5 * 17 = 85.
c.Inserting the parentheses simplifies it to 2 + 48 + 1 = 51.
d. Inserting the parentheses makes it 2 + 3*17 = 53
The correct answer is $3.18 per gallon
Answer:
1st:Linear, 2nd:Non-Linear
Step-by-step explanation:
1st one is linear because you will add the same amount of money every day, so it's linear.But sometimes you will earn more or less in 2nd one, so that is non linear.
Answer:
ii) c = 4 iii) c = 8
Step-by-step explanation:
A = x axis intercept = 1/2 c
B = y axis intercept = c
ii) Area of a triangle = 1/2 x base x height
4 = 1/2 x (1/2)c x c
c² = 16
c = 4
iii) 2√5 will be the hypotenuse of a right-angled triangle with base 1/4 c and height 1/2 c
(2√5)² = (1/4 c)² + (1/2 c)²
20 = 1/16 c² + 1/4 c²
20 = 5/16 c²
c² = 64
c = 8
Answer:
(x)^2 (y)^2
---------- + --------- = 1
4 3
Step-by-step explanation:
The standard equation for an ellipse is
(x-h)^2 (y-k)^2
---------- + --------- = 1
a^2 b^2
The center is at (h,k)
The vertices are at (h±a, k)
The foci are at (h±c,k )
Where c is sqrt(a^2 - b^2)
It is centered at the origin so h,k are zero
(x)^2 (y)^2
---------- + --------- = 1
a^2 b^2
The center is at (0,0)
The vertices are at (0±a, 0)
The foci are at (0±c,0 )
The vertices are (±2,0) so a =2
The foci is 1
c = sqrt(a^2 - b^2)
1 = sqrt(2^2 - b^2)
Square each side
1 = 4-b^2
Subtract 4 from each side
1-4 = -b^2
-3 = -b^2
3= b^2
Take the square root
b=sqrt(3)
(x)^2 (y)^2
---------- + --------- = 1
4 3
