we have
which is a cubic function.
and
.
from f(x) and g(x) we know that both are cubic and g(x) has shrink of 1 and up by 4 units in x axis .
The measure of an exterior angle of triangle is equal to the sum of measures of two interior angles of triangle that are not supplementary with this exterior angles.
In the case of this question this fact sounds as
m∠XBC = m∠BAC + m∠BCA (option 1).
Now if
- m∠XBC=(3p-6)°
- m∠BAC=(p+4)°
- m∠BCA=84°,
then
3p-6=p+4+84 (option 2),
3p-6=p+88 (option 3),
3p-p-6=p-p+88,
2p-6=88 (option 4),
2p-6+6=88+6,
2p=94 (option 5),
p=47.
Then m∠XBC=(3p-6)°=(3·47-6)°=135°.
Answer: m∠XBC=135°.
The cost of the carpet is $526.75
<h3>Area of triangle and rectangle</h3>
Based on the information given:
The carpet costs $1.75 per square foot
Get the area of the carpet
Area = 24(7) + 7(15) + 0.5(28) + 0.5(28)
Area of the composite figure = 273 + 28
Area of the composite figure = 301 ft²
Cost of the carpet = 301 * 1.75
Cost of the carpet = $526.75
Hence the cost of the carpet is $526.75
Learn more on area of composite figure here: brainly.com/question/21135654
6^3 = 216 because you multiply 6 three times.
Answer:
n = 0 or 10
Step-by-step explanation:
From the question,
Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1
Coordinate of the circle = (6,n)
From the question
x = 6, y = n
Substitute the value of x and y into equation 1
(6-1)²+(n-5)² = 50
5²+(n-5)² = 50
25+(n-5)² = 50
(n-5)² = 50-25
(n-5)² = 25.
Solving for n
n-5 = √(25
n-5 = ±5
Either,
n-5 = -5
n = -5+5
n = 0
or
n-5 = +5
n = 5+5
n = 10