Answer:
Therefore Length of PQ is 48.9 foot.
Step-by-step explanation:
Given:
In Triangle PQR,
∠R = 90°
∠P = 51°
QR = 38 feet = side opposite to angle P
To Find:
PQ = ? = Hypotenuse
Solution:
In Right angle Triangle PQR Cosine Identity we get,
Substituting the values we get,
Therefore Length of PQ is 48.9 foot.
12.5 in fraction/simplest for is 12 5/10 = 12 1/5
Answer:
x = - 4, x = 1
Step-by-step explanation:
At the point of intersection
f(x) = g(x) , that is
(x + 3)² = 3x + 13 ← expand left side using FOIL
x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
Answer:
Equation of line that passes through the points is; y= -13x - 31
Step-by-step explanation:
Given coordinates;
(- 2, - 5) and (3. - 8)
Find:
Equation of the line
Computation:
Equation of line that passes through the points is;
y = mx + c
So,
in (- 2, - 5)
-5 = m(-2) + c
-5 = -2m + c ...................Eq1
in (3, - 8)
- 8 = m(3) + c
-8 = 3m + c .....................Eq2
From eq2 + eq1
m = -13
-5 = -2m + c
-5 = -2(-13) + c
-5 = 26 + c
c = -31
So,
y = mx + c
y = (-13)x + (-31)
Equation of line that passes through the points is; y= -13x - 31
Answer:
22
Step-by-step explanation:
