Answer:
Step-by-step explanation:
Let the number is in the form of xyz
<h3>We have</h3>
Sum of the digits is 19
The second digit is one more than the first digit
The third digit is two more than the second digit
- z = y + 2 = x + 1 + 2 = x + 3
<u>Substitute the values of y and z</u> into the first equation and solve for x
- x + x + 1 + x + 3 = 19
- 3x + 4 = 19
- 3x = 15
- x = 5
<u>Find the value of y and z</u>
- y = 5 + 1 = 6
- z = 5 + 3 = 8
The number is 568
Answer:

Step-by-step explanation:
The formula for the area of a triangle is given by :
...(1)
Where b is the length of the base and h is the height.
We need to find the value of b from the above formula.
Cross multiplying equation (1) we get :

Now dividing both sides by h. So,

So, the correct option is (D) i.e.
.
Answer:
1. y = 4x - 27
2. y = -4x - 15
Step-by-step explanation:
If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:
y - 5 = 4(x - 8)
We can distribute:
y - 5 = 4x - 32
y = 4x - 27
We are not given the slope-intercept form, so we must divide both sides by two to get it:
y = 1/4 x + 8
A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:
y - 5 = -4(x + 5)
We can distribute:
y - 5 = -4x - 20
y = -4x - 15
Answer:
5)14x+4
6)20x
Step-by-step explanation:
5)8x+6x+4
6) 5x×4
Answer:X=13/145
Step-by-step explanation: