Answer:
x =8.34654305
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 33 = 7/x
Switching places with the x and the 33
x = 7/ cos 33
x =8.34654305
Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│
Answer:
E (3,-1) D (-2, -2) G (-1, 3) F (3, 2)
Step-by-step explanation:
90 degrees = (y, -x)
that means you take the ordered pair you want to rotate and plug the x and y into the new spots.
for example, point E is at (1,3) so the point rotated 90 degrees is (3,-1)
The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2
<u>Solution:</u>
Given that line is passing through point (-5, 2) and (3, r)
Slope of the line is 
Need to determine value of r.
Slope of a line passing through point
is given by following formula:
--- eqn 1

On substituting the given value in (1) we get

Hence the value of "r" is -2
Answer:
the whole family uses a total of 99 gallons in 1 morning
Step-by-step explanation: