Answer:
x=-4; x=11
Step-by-step explanation:
x^2-7x-34-10=0
x^2+4x-11x-44=0
x(x+4)-11(x+4)=0
(x+4)(x-11)=0
x+4=0
x-11=0
x=-4
x=11
Answer:
B. 17
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We have a and b, so:
8² + 15² = c²
c = √(8² + 15²)
c = 17
And we have our final answer!
The area of a sector of a circles is calculated by the equation A = πr^2 (theta/360). From the data of the sector, we determine the radius of the circle. THen, we can calculate for the area of the circle.
16.4π = πr^2 (72/360)
r = 9.06
Area of circle = πr^2
Area of circle = π(9.06)^2
Area of circle = 82π
Answer: x = 4
Step-by-step explanation:
Given : A coordinate grid with 2 lines.
One line, labeled f(x) passing through (- 3, 3), (0, 3), and the point (4, 3). (i)
The other line is labeled g(x) and passes through (- 4, -3), (0, 0), and the point (4, 3). (ii)
We generally denote x values as input values and y values as output values.
From (i) and (ii), the common point on both lines = (4,3)
Here, input value = 4
Output value = 3
Hence, the input value produces the same output value for the two functions on the graph : x=4
Answer:
Yes
Step-by-step explanation:
The driver completed his route 9 different times as recorded here: 44.2, 44.9, 46.1, 45.8, 44.7, 45.2, 45.1, 45.3, and 44.6. The goal of the company is for the driver to complete it within less than 0.5 mins of 45 mins. The driver failed to do this two times when they completed it in 44.2 mins and 46.1 mins. If you take an average of the bus drivers 9 runs it is 45. 1 mins. Overall the driver does complete most runs within 0.5 mins on average.
44.2+ 44.9 +46.1 +45.8+ 44.7+ 45.2+ 45.1+ 45.3+ 44.6 = 405.9
405.9 / 9 = 45.1