Answer:
The equivalent factored form of this equation is (x² + 49)(x - 6)
Step-by-step explanation:
<em>x³ - 6x² + 49x - 294</em>
First, group the first and second terms together and group the last two terms together.
<em>(x³ - 6x²) + (49x - 294)</em>
Find the greatest common factor of both parentheses and factor them.
x²(x - 6) + 49(x - 6)
Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.
So, the factored form of the equation is (x² + 49)(x - 6)
Given:
In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.
To find:
The value of x and y.
Solution:
In triangle ABC,
(Given)
So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.
In isosceles triangle ABC,
The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.
In triangle ABD,
[Angle sum property]
Therefore, the correct option is B.
Answer:
318 days or 10.6 months,
No, because the time between august and december is 8 months and it would take 10 to complete the tunnel
Step-by-step explanation:
start by determining the slope:
subtract the remaining distance from the total distance to determine distance so far, then divide by time.
m = (3200 - 1700)/5
m = 1500/5
m = 300
y = mx + b
Plug in to solve for x.
3200 = 300x + 0
3200 = 300x
divide y by m. This is x. (this is known as inverse operation if you didnt know already.)
3200 = 300(10.6_)
Answer:
D is the correct answer
Step-by-step explanation:
Not all rectangles are squares.
