Answer:
tan A = 5/12
Step-by-step explanation:
To find tangent of a triangle, it is this ratio : opposite / adjacent.
Knowing that "A" is the given angle, 5 is the opposite and 12 is the side adjacent to "A". Putting these values together, the tangent is
5 (opposite)/12 (adjacent).
Hope this helps!
Answer:
<h2>
</h2>
Step-by-step explanation:
Expand the terms in the bracket and simplify
That's
Using the subtraction property subtract 10x from both sides of the equation
<u>Add 6 to both sides of the equation</u>
<u>Divide both sides by 8</u>
<u>Reduce the fraction with 2</u>
We have the final answer as
Hope this helps you
Answer:
-|x|=-3
|x|=-3
|-x|=-3
Step-by-step explanation:
Answer:
(-1,-2)
Step-by-step explanation:
Generally, the absolute value function can be expressed like so:
f(x) = y = a|x-h|+k, where vertex: (h,k)
Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)
So the vertex is at (-1,-2)
In the given question, there are two vital information's give. Firstly 8 ears of corn and 1 cantaloupe cost $2.37. On the other hand 6 ears of corn and 3 cantaloupes cost $3.51.
Let us assume the cost of 1 corn = X
Let us assume the cost of 1 cantaloupe = Y
Then
8X + Y = 2.37
Y = 2.37 - 8X
And
6X + 3Y = 3.51
Now we replace the value of Y we found from the first equation
Then
6X + 3(2.37 - 8X) = 3.51
6X - 24X + 7.11 = 3.51
-18X = 3.51 - 7.11
-18X = -3.6
X = 3.6/18
= 0.20
So $0.20 is the value of 1 corn. Then the value of a cantaloupe
Y = 2.37 - 8X
= 2.37 - (8 * 0.20)
= 2.37 - 1.6
= 0.77
So cost of a cantaloupe is $0.77