Option 1: 
is the right answer
Step-by-step explanation:
The slope-intercept form is given by:
Here m is the slope and b is y-intercept
Given
m = -3
Point = (-1,6)
Putting the value of slope
To find the value of b, putting the given point (-1,6) in the equation
Putting the value of b in slope-intercept form
Hence,
Option 1: is the right answer
Keywords: Equation of line, slope
Learn more about equation of line at:
#LearnwithBrainly
Answer:
the answer is 16mph
Step-by-step explanation:
The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415
Step-by-step explanation:
Given that,
The measure of angle DBE (0.1x - 22)
The measure of angle CBE (0.3x - 54)
<u>Step 1</u>
As per the Angle Addition Postulate,
m∠DBE+m∠CBE=m∠DBC
<u>
Step 2</u>
Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.
Hence,
(0.1x-22)+(0.3x-54)= 90
<u>Step 3</u>
Lets solve the equation for x
We know that 0.4x-76= 90
0.4x= 166
x=166/0.4
x=415
<u>Step 4</u>
<u>Answer :</u> The value of x is 415
Answer:
D
Step-by-step explanation:
Firstly, since it is a selection question, we shall be using a combination approach.
So here we are trying to select the best answer that describes that 2 out of 10 students are selected.
Let’s consider the scenario below;
selecting r out of n can be resolved using the combination nCr
= n!/(n-r)!r!
Now in this case, our n = 10 and r = 2.
Thus, 10C2, we have ;
10!/(10-2)!2! = 10!/8!2! = (10 * 9 * 8!)/8!2! = (10 *9)/2! = 90/2 = 45
Thus, 10C2 = 45
Here, the order of selection does not matter as we can select in random fashion. This makes option D correct
Answer:
1,79,07,120 ways
Step-by-step explanation:
Ways in which 3 solids can be chosen from 19 solids = 19 c 3
33 striped prints can be chosen from 99 striped prints in 9 c 3 ways
33 floral prints can be chosen from 121 floral prints in 12 c 33 ways
So, total ways = (19 c 3) (9 c 3) (12 c 3)
(969) (84) (220)
1,79,07,120
