Answer:
The correct option is 3. The value of x is 8 inches.
Step-by-step explanation:
It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.
Multiply both sides by 16.
Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.
The length of x is 8 inches. Therefore the correct option is 3.
Answer:
Step-by-step explanation:
6x³ and (-5x³) are like terms
y² and 2y² are like terms
Combine like terms
6x³ + y ² - 5x³ + 2y² = 6x³ - 5x³ + y² + 2y²
= x³ + 3y²
Answer:
Step-by-step explanation:
we are given a quadratic equation
we know that quadratic equation is same as equation of parabola
so, we can use formula
Focus is
now, we can compare it with given focus
=(8,-8)
we get
Directrix is
we are given directrix =-6
we got two equations as
now, we can add both equations
and we get
now, we can find 'a'
now, we can plug back all values
and we get
So, equation of parabola is
The Norman’s stock has been increased to 25%.
<u>Step-by-step explanation:</u>
- Norman purchased $420 of stock in Carnival Cruise Lines last week.
- The worth of the stock at present is $525.
Therefore, the stock worth has been increased from $420 to $525.
<u>The percent change can be determined using the formula :</u>
% increase = (difference between two values / smaller value) × 100
Here, the difference of $420 and $525 was found as $105.
The smaller one of two vlaues is $420.
Percentage increase = (105 / 420) × 100
⇒ 0.25 × 100
⇒ 25 %
The percentage increase of Norman’s stock was determined as 25%
Therefore, the Norman’s stock has increased to 25%.
