Answer:
x=-2
Step-by-step explanation:
-6/18=x/6
simplify the -6/18 into -1/3,
-1/3=x/6
cross product,
3*x=-1*6
3x=-6
x=-6/3
x=-2
Answer:
<h2>The length of the line segment VT is 13 units.</h2>
Step-by-step explanation:
We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

Where

Replacing all these expressions, we have

Solving for
, we have

Now, notice that chord VT is form by the sum of RT and RV, so

Replacing the value of the variable

Therefore, the length of the line segment VT is 13 units.
Let x be a random variable representing the price of a Congo-imported black diamond. Let the higher price be p. Then,
P(x < p) = P(x < (p - mean)/sd) = P(x < (p - 60,430)/21,958.08) = P(z < 2)
Therefore,
(p - 60,430)/21,958.08 = 2
p - 60,430 = 2 x 21,958.08 = 43,916.16
p = 34,916.16 + 60,430 = 104.346.16
Therefore, The required price is $104,346.16
The question is incorrect
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutionslet
x---------------> t<span>he length of the garden
</span>y---------------> the wide of the garden
we know that
x>=110
2x+2y <=380---------------> x+y <= 190
Part A) <span>Write a system of inequality that model the possible dimensions of he garden
</span>
the answer part A) is
x>=110
x+y <= 190
Part B) <span>Graph the system to show all possible solutions
using a graph tool
see the attached figure
the solution is the triangle show in the figure
</span><span>the possible solutions of y (wide) would be between 0 and 80 ft
</span>the possible solutions of x (length) would be between 110 ft and 190 ft