The formula for the area is length times width, so for question 17, multiply those two numbers together.
If he drives 9 miles to work per day and works 5 days a week, you would need to get the total of miles per week. Then, once you do, multiply that number by 52.
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a =
, thus
y =
(x + 6)² - 1 ← in vertex form
Expand factor and simplify
y =
(x² + 12x + 36) - 1 ← distribute
y =
x² +
x + 4 - 1
=
x² +
x + 3 ← in standard form
I think the correct answer would be : (-8,3)
I hope this helps !
Answer:
<h2>21.4368 ≅ 21.44 million households owned at least two cats.</h2>
Step-by-step explanation:
Total number of households were 116 million.
Hence, 100% = 116 million.
33% of the total US households owned at least one cat.
Hence, the number of household having at least one cat is
million.
It is also given that 56% of that 38.28 million households owned at least 2 cats.
Hence, the number of households having 2 cats is
million.
Given:
The x and y axis are tangent to a circle with radius 3 units.
To find:
The standard form of the circle.
Solution:
It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.
We know that the radius of the circle are perpendicular to the tangent at the point of tangency.
It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).
The standard form of a circle is:

Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting
, we get


Therefore, the standard form of the given circle is
.