Point slope form says the line through (a,b) with slope m is
y - b = m(x - a)
Here that's
y - 32 = -6(x - -6)
y -32 = -6(x + 6) = -6x - 36
y = -6x - 4
Check:
-6(-6) - 4 = 36 - 4 = 32, good
Answer: y = -6x - 4
Expressions cannot <u>be solved.
</u>Although they are similar to equations, you can solve an equation, but you cannot solve an expression. You can evaluate it, simplify it, and it can have many variables, however, an expression just exists, it is not a problem that has to be solved.<u>
</u>
Complete Question
A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘. Find the height of the church
Answer:
138.3 ft
Step-by-step explanation:
We solve this question above using using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent
Where:
Opposite = Height of the church = x
Adjacent = Distance for the base of the church = 213ft
Angle of elevation θ = 33°
Hence:
tan 33 = x /213 ft
Cross Multiply
x = tan 33 × 213 ft
x = 138.32381735 ft
x = Opposite Approximately = 138.3 ft
Therefore, the height of the church = 138.3 ft
Answer:

Step-by-step explanation:
Given

Required
Values of x that make it true
First: solve the inequality.

Collect Like Terms


Multiply both sides by -1

--- The inequality changes when multiplied by a negative value
So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)
Hence, the set is:

Find the scale of the known sides:
RT is similar to UW
5.4 /9 = 0.6
The smaller triangle is 0.6 times the larger one.
Multiply the length of RS to find UV:
6 x 0.6 = 3.6
The answer is A. 3.6 inches.