One number = x
One number more 26 = x + 26
Their product is -169
x . (x + 26) = -169
x² + 26x = -169
x² + 26x + 169 = 0
x² + 2.13.x + 13² = 0
It can be written by
(x + 13)² since we know that (x + 13)² = x² + 2.x.13 + 13²
So
(x + 13)² = 0
x + 13 = 0
x = -13
Our number is -13
Answer:
Nirmala can use the lamp for 31.66 hours before it runs out of oil.
Step-by-step explanation:
From the graph,
Take any two points, let say
(15, 25)
(25, 10)
The equation of line in slope-intercept form
Putting and any point, let say (25, 10), to find the y-intercept 'b'
So the equation of line will be:
In order to find how long Nirmala can use the lamp before it runs out of oil, we need to find x-intercept which can be obtained by putting y = 0, and solve for x, as duration lies on x-axis.
so
Putting y = 0
Therefore, Nirmala can use the lamp for 31.66 hours before it runs out of oil.
Answer:
See below ~
Step-by-step explanation:
Question 6(e) :
⇒ x² ≤ 16
<em>Take square root on each side :</em>
⇒ √x² ≤ √16
⇒ x ≤ 4 and x ≥ -4
⇒ -4 ≤ x ≤ 4
Answer:
Step-by-step explanation:
<u>Use two points on the line to find the equation:</u>
<u>Find the slope:</u>
<u>The line is:</u>
The mistake was the swapped slope and y-intercept values.
Using the geometric mean we can estimate the x value as:
The answer is: