Answer:
66.4°
Step-by-step explanation:
→ Find the side which is not given
Hypotenuse = 15 cm
Opposite = ?
Adjacent = 6 cm
→ Utilise the formula triangle with out opposite in it
Cos⁻¹ = Adjacent ÷ Hypotenuse
→ Substitute in the terms
Cos⁻¹ = 6 ÷ 15 ⇔ 66.4°
STEP - BY - STEP EXPLANATION
What to find?
The the value of secθ.
Given:
(4, 3)
⇒(x, y) = (4, 3)
Step 1
Draw a sketch.
Step 2
Substitute the values into the trig. ratio formula below.
From the sketch above, opposite = 3 and adjacent = 4
Step 3
Find the value of the hypotenuse side using Pythagoras theorem.
let h be the hypotenuse side.
Hence, hypotenuse = 5
Step 4
Substitute the values into the formula below:
But,
ANSWER
secθ= 5/4
tanθ=3/4
Answer:
The center is (-4,-6) and the radius is 8
Step-by-step explanation:
(x+4)²+(y+6)²=64
The equation of a circle can be written in the form
(x-h)²+(y-k)²=r^2
Where (h,k) is the center and r is the radius
Rewriting the equation
(x - -4)²+(y- -6)²=8^2
The center is (-4,-6) and the radius is 8
3 and 4 would both be corrent because one is smaller is 2 would make it equal
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
