The equation of a line is:
y = mx + c
The m is the gradient of the line, and the c is the y-intercept of the line
That means that the y-intercept of [y = -4x + 3] is 3
and the y-intercept of [y = -4x + 4] is 4
So the distance between the two y-intercepts is:
4 - 3 = <u>1</u>
Answer:
x = 12
Step-by-step explanation:
Angle 1 = 8x - 17
Angle 2 = 5x + 19
These are congruent which means they are the same so the equation is:
8x - 17 = 5x + 19
3x - 17 = 19
3x = 36
x = 12
Answer:
68 mph
Step-by-step explanation:
80 m/hr * 2 hr = 160 miles
60 m/hr * 3 hr = 180 miles
total miles / total time = average speed
340 miles / 5 hr = 68 m p h
To find the missing width/length for the perimeter of a rectangle:
You multiply the found length/width, in this case, the length, by 2. Since there are 2 of the same sides of a rectangle.
6*2 = 12
Now, you have to subtract the perimeter, 26, from the product.
36 - 12 = 24.
You have to divide the difference by 2 because 24 is the 2 missing sides put together.
24/2 = 12
So, the missing width is 12 feet.
From,
Loafly
Answer:
The explicit formula for the given expression is 
.
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is
The explicit formula for an AP is
Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.
Therefore the explicit formula for the given expression is .
