Answer:
y = 2x + 3.5
Step-by-step explanation:
Step 1: find the slope
8y + 4x = 64
8y = 64 - 4x
Make y the subject of the formula
y = (64 - 4x)/8
y = ( -4x + 64)/8
Separate to get slope
y = -4x/8 + 64/8
y = -x/2 + 8
Slope is the coefficient of x
m = -1/2
Note: if two lines are perpendicular to the other , it is negative reciprocal to each other
m = 2
Using the point slope form equation
y - y1 = m(x - x1)
y - y1 = 2(x - x1)
Substitute the point
( 3.5 , 0)
x1 = 3.5
y1 = 0
y - 3.5 = 2( x - 0)
open the bracket
y - 3.5 = 2x - 0
y = 2x - 0 + 3.5
y = 2x + 3.5
The equation of the line is
y = 2x + 3.5
Answer:
1/18
Step-by-step explanation:
the denominator is going up by 2s
pls brainliest
Answer:
Integers, and rational numbers
Step-by-step explanation:
Integers are any positive or negative whole numbers
Rational numbers are any positive or negative numbers
Whole numbers are any positive whole numbers
Real numbers are any positive whole numbers but doesn’t include 0
Answer:
The nth terms: 15,24,33,42,51,60,69,78,87,96,105...
Step-by-step explanation:
The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula
Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.
2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h
3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
