The answer should be the directrix because k represents the y-value of the vertex, and for this questions the parabola is probably facing upward, so the directrix is under the vertex.
Answer: , where x= width of the rectangle ( in inches).
Step-by-step explanation:
Let x= width of the rectangle ( in inches).
Then its length = 2x-7 ( in inches).
Area of rectangle = Length × width
= (2x-7) × (x)
= 2x × x -7 ×x
= 2x²-7x
The area of the rectangle is 72 square inches.
Hence, the equation that represents the given situation :
9514 1404 393
Answer:
- interest: $353.38
- total: $4978.38
Step-by-step explanation:
The equation for calculating the balance in an account earning compound interest is ...
A = P(1 +r)^t
where r is the annual rate and t is the number of years.
For Sam's account, the balance after 2 years is ...
A = $4625(1 +0.0375)^2 = $4978.38
The interest is the amount in excess of the deposited amount:
$4978.38 -4525.00 = $353.38
Sam's interest was $353.38, giving him a total of $4978.38.
Answer:
3. C or 18.
4. Perimeter: 10 Area: 6.25
5. 3 and 16
Step-by-step explanation:
3. Because the area of a triangle is 1/2 the base times the height if you double the area you can divide this total area by one side to find the length of the other side. In this problem that is 72*2 which is 144. Then dividing 144/8 you get 18, which is answer choice C.
4. Since a square has 4 sides that are all the same, you only need to know one side length to know them all. Multiplying one side length (2.5) by itself will get you the are of the square as a whole. Doing this (2.5 multiplied by 2.5 gets the area of 6.25.
For the perimeter calculation use the formula for a perimeter of a square which is one side (2.5) multiplied by 4 is 10, which is the perimeter.
5. This is because 3*16 is 48 or the area of the rectangle.