Answer:
a) p + q + r
b) 2(a + b)
Step-by-step explanation:
The perimeter of a two-dimensional shape is the <u>distance</u> all the way around the outside.
An algebraic expression contains one or more numbers, variables, and arithmetic operations.
A variable is a symbol (usually a letter) that represents an unknown numerical value in an equation or expression.
<u>Question (a)</u>
The length of each side of the triangle is labeled p, q and r. Therefore, the perimeter is the sum of the sides:
Perimeter = p + q + r
So the algebraic expression for the perimeter of the triangle is:
p + q + r
<u>Question (b)</u>
Not all of the sides of the shape have been labeled.
However, note that the horizontal length labeled "a" is equal to the sum of "c" and the horizontal length with no label.
Similarly, note that the vertical length labeled "b" is equal to the sum of "d" and the vertical length with no label.
Therefore, the perimeter is twice the sum of a and b:
Perimeter = 2(a + b)
So the algebraic expression for the perimeter of the shape is:
2(a + b)
depends on the type of dice, some have many sides . how many rolls, how many seconds until it stops rolling, which quantiative set of dice rolls do you have that you use to verify the accuricy of predicitons.
In short, not sure.
Answer:
y = 3/4x - 3
Step-by-step explanation:
If you write the equation in slope-intercept form, you will need the slope(m) and the y-intercept(b):
y = mx + b
To solve this, you first need to know the slope of the line in the given equation. In order to do this, change it to slope-intercept form for easy analyzation:
-3x + 4y = 4
= 4y = 3x + 4
= y = 3/4x + 1
Now, you know the slope(m) is 3/4, so you have this much of the slope-intercept equation:
y = 3/4x + b
At this point, you need to find the y-intercept. This can be done by plugging in the given point in the equation and solving for b:
using (4, 0) and y = 3/4x + b,
(0) = 3/4(4) + b
0 = 3 + b
b = -3
So, that means that the equation for the line is:
y = 3/4x - 3
Answer:
x=1
Step-by-step explanation:
Step 1:Simplify both sides of the equation
4(x-5)+2x=-14
(4)(x)+(4)(-5)+2x=-14
4x+-120+2x=-14
4x+2x+-20-14
6x+-20=-14
6x-20=-14
Step 2: Add 20 to both sides
6x-20+20=-14+20
6x=6
Step 3: Divide both sides by 6
6x/6=6/6
x=1
