C.) (6,4)...................
Answer:
<h3>No, it is not a right triangle</h3>
Step-by-step explanation:
In order to know whether the triangle is a right angle, we need to show that the square of the longest side is equal to the sum of the square of the other two sides
Longest side = 17in
other two sides = 8in and 9in
Check:
17² = 289
Sum of the square of other two sides
= 8² +9²
= 64 + 81
= 145
Since 17² ≠ 8² +9², hence the triangle that Landon created is not a right triangle
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m = 
= 
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y = 
x - 2 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
= , so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
Answer:
y=2/3x - 3
Step-by-step explanation:
In order to move an equation down, you just subtract how many units you want to move down on the graph. In this case, you want to move 3 units down, so that's why you subtract by 3. Easy as that!
Answer:
Step-by-step explanation:sin
(
θ
)
=
40
41
Use the definition of sine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
sin
(
θ
)
=
opposite
hypotenuse
Find the adjacent side of the unit circle triangle. Since the hypotenuse and opposite sides are known, use the Pythagorean theorem to find the remaining side.
Adjacent
=
√
hypotenuse
2
−
opposite
2
Replace the known values in the equation.
Adjacent
=
√
(
41
)
2
−
(
40
)
2
Simplify
√
(
41
)
2
−
(
40
)
2
.
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Adjacent
=
9
Find the value of cosine.
Tap for more steps...
cos
(
θ
)
=
9
41
Find the value of tangent.
Tap for more steps...
tan
(
θ
)
=
40
9
Find the value of cotangent.
Tap for more steps...
cot
(
θ
)
=
9
40
Find the value of secant.
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sec
(
θ
)
=
41
9
Find the value of cosecant.
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csc
(
θ
)
=
41
40
This is the solution to each trig value.
sin
(
θ
)
=
40
41
cos
(
θ
)
=
9
41
tan
(
θ
)
=
40
9
cot
(
θ
)
=
9
40
sec
(
θ
)
=
41
9
csc
(
θ
)
=
41
40
