Answer:
y=-1/2x+5
Step-by-step explanation:
a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.
How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.
Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.
y=-1/2x+b
b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.
when the point's x value is 0, the y value is the y intercept.
It would take about 57 hours for the number of spores to be less than 500 spores.
<h3>
Exponential Function</h3>
An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y is the number of pores after x hours.
a = 6200, b = 100% - 20% = 0.8, hence to be less than 500 spores:
(x/5) * ln(0.8) < ln(0.08)
x > 56.4 hours
It would take about 57 hours for the number of spores to be less than 500 spores.
Find out more on Exponential Function at: brainly.com/question/12940982
Hi! Going from equation one, you should put your starting point at negative 10. Then make an over-arrow over to negative five showing where you added five. After this, make another arrow from negative five to seven. Then you’re done! Hope this helps!
Answer:
61°
Step-by-step explanation:
let the angle on a straight line with 112° be x
112°+x = 180° ( angles on a straight line)
x = 180°- 112°
x = 68°
calculating for k°
68°+ k +51° = 180° (sum of angles Ina triangle equal 180°)
119° +k = 180°
K = 180-119
k = 61°
Calculating radicals can be difficult if they don't work out. To calculate a radical that doesn't work out, you can estimate by finding which two perfect square roots it lies between. You can also use a calculator.
An alternative solution, using properties of square roots is where 
Using this, we can create 
. This is between the perfect square 9 and 16 (3 and 4).
