Answer:
4x-15=y
Step-by-step explanation:
The higher the rise over the run the more steep your slope will be thus 4x is less steep than 8x because it does not rise as much.
The y intercept shifted downward means anything (-10>b) can be plausible for b.
Answer:
1. a) Square
2. c) Rectangle
Step-by-step explanation:
1. If you cut this rectangular prism in way to be PERPENDICULAR to the base, that means you're cutting it straight down, from the top to the bottom, in a vertical line. The cross-section obtained will be just like an end of the prism, which in this case is a square. Because it's a regular rectangular prism, no matter where you cut it, as long as it's vertical, perpendicular to the base, you'll get a square due to this particular form. Technically, the answer could also be a rectangle, since a square is a rectangle.
2. you cut this rectangular prism in way to be PARALLEL to the base, that means you're cutting it straight, from the front to the back, in an horizontal line. The cross-section obtained will be just like an top of the prism, which in this case is a rectangle. Because it's a regular rectangular prism, no matter where you cut it, as long as it's an horizontal line, parallel to the base, you'll get a rectangle due to this particular form.
40 is the correct answer. Hope this helps :)
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width
Solution:
Let the length of rectangle=x
Width of rectangle=x/10
Perimeter is 2(Length+Width)
= 2(x+x/10)
Area of Rectangle= Length* Width=x*x/10
As, Perimeter=2(Area)
So,2(x+x/10)=2(x*x/10)
Multiplying the equation with 10, we get,
2(10x+x)=2x²
Adding Like terms, 10x+x=11x
2(11x)=2x^2
22x=2x²
2x²-22x=0
2x(x-11)=0
By Zero Product property, either x=0
or, x-11=0
or, x=11
So, Width=x/10=11/10=1.1
Checking:
So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2
Area=Length*Width=11*1.1=12.1
Hence, Perimeter= 2 Area
As,24.2=2*12.1=24.2
So, Perimeter=2 Area
So, Answer:Length of Rectangle=11 units
Width of Rectangle=1.1 units
Answer:
The answer to your question is No
Step-by-step explanation:
Data
function f(x) = 2x³ + x² - 10x - 12
To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.
Substitution
f(-2) = 2(-2)³ + (-2)² - 10(-2) - 12
Simplification
f(-2) = 2(-8) + 4 + 20 - 12
f(-2) = -16 + 4 + 20 - 12
f(-2) = -28 + 24
f(-2) = -4
-2 is not a root that the function.
