Answer:
a =
Step-by-step explanation:
To find the value of a, find the Slope of both the equations.
For lines to be perpendicular to each other
For line 1:
2x + 3y − 6 = 0 represent the line in y=mx +c form
3y = -2x + 6
y = +
y = + 2
=
For line 2:
ax - 3y = 5
ax = 5 + 3y
ax - 5 = 3y
y =
=
Apply the condition of perpendicularity:
* = - 1
a =
Answer:
Restaurant A served a greater variety of ages than Restaurant B, because the range of date for Restaurant A is greater than that of Restaurant B.
Step-by-step explanation:
Answer:
4.83
Step-by-step explanation:
To find the circumference of a circle you need to take the diameter times Pi. So if you need to find the diameter from the circumference, simply divide the circumference by 3.14 which is Pi
Hope this helps!
If <em>x</em> = -1, you have
2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0
and if <em>x</em> = 0, you have
2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0
The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.
Answer:
Step-by-step explanation:
Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:
, where F = force applied and d = distance that force is applied over.
*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.
In this case, the force applied must counter the force of gravity on Martha, which is given by , where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore, . Since she raises her body 4.0 meters, the work done must be .
Since power is equal to work over time and t = 2.3 seconds, we have:
(to two significant figures)