Slope-intercept form of a line is y=mx+b.
Where m= slope and b= y-intercept.
First step is to compare the given equation y=35x+8 with the above equation to get the value of m.
After comparing the two equations we will get m=35.
Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.
Now the line is passing through (-10,4).
Point slope form of a line is :
Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,
y-4=35(x-(-10)
y-4=35(x+10)
y-4=35x+350
y=35x+350+4
y=35x+354.
So, the equation of the line is y=35x+354.
Answer:
Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books
We can represent this inequality as:
5 + 3x ≤ 50
Step-by-step explanation:
Whenever we are dealing with inequalities, a good trick is to solve the problem using an "equals to" sign and change it to the "inequality" sign at the last minute.
Let us assume that she carries x books.
The weight of her suitcase + the weight of all the 3-pound books must not be more than 50 pounds.
We can represent this inequality as:
5 + 3x ≤ 50
having said this, to find the value of x, which is the maximum number of books she is allowed to carry.
To do this, we replace the inequality sign with the "equals to" sign
5 + 3x = 50
from this, we have that
3x = 45;
x = 45/3
x = 15 books
From this, we can see that Charlene is not allowed to carry more than 15 books.
i.e x ≤ 15
Charlene cannot bring 20 books because the weight of her luggage will be more than the permitted weight. She can only bring at most 15 books
Volume of a cylinder = pi r^2 h where r = radius of the base and h = the height.
so if we are given a radius of 2 cm and a volume of 180 cm^3 we work out the height as follows:-
180 = pi * 2^2 * h
h = 180 / (pi*2^2)
height h = 180 / 4pi = 14.32 cm to nearest hundredth
Answer:
it is . what it is lol
Step-by-step explanation: