Answer: x = 9, y = -14
Explanation:
4x + y = 16
2x + y = -2<span>
</span> 4x + y = 16
- 2x + y = -2
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2x + 0 = 18
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2x = 18
x = 9 <<<<< ¯\_(ツ)_/¯ For the value of x
Plug x = 9 into 2x + y = -2
2(9) + y = -2
12 + y = -2
y = -14 <<<<< ¯\_(ツ)_/¯ For the value of y
Answers:
x = 25 in
y = 16.3°
z = 73.7°
Explanation:
Part (a): getting the value of x:
Since the given triangle is a right-angled triangle, we can get the value of x which is the hypotenuse of the triangle using the Pythagorean theorem as follows:
(hypotenuse)² = (side1)² + (side2)²
x² = (24)² + (7)²
x² = 625
x = √625
either x = 25 in ..........> accepted
or x = -25 in .........> rejected as side length cannot be negative.
Based on the above:
x = 25 in
Part (b): getting the value of y:
Since the given triangle is a right-angled triangle, therefore, special trigonometric functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
In the given, we have:
θ = y
opposite side = 7 in
adjacent side = 24 in
Apply in the tan formula:
tan y = 7/24
y = 16.3° to the nearest tenth
Part (c): getting the value of z:
This can be solved in two ways:
Solution 1: Using angles
Sum on internal angles in a triangle is 180
90 + 16.3 + z = 180
z = 73.7°
Solution 2: Using special trig functions:
We have θ = z
opposite side = 24 in
adjacent side = 7 in
tan z = 24/7
z = 73.7° to the nearest tenth
Hope this helps :)
Answer:
The simplest form of 44/160 is 11/40.
Step-by-step explanation:
With respect to the parent function,
y = 1/(x+5) +2
is translated 5 units left and 2 units up.
Answer:
If your solving for x then its x=3 because you combine liked terms then divide both sides by 3.
