10^6 = 10 *10*10*10*10*10 = 1,000,000
10^2 = 10*10 = 100
1000000/100 = 10,000 times larger
Equation of the line in slope-intercept form is y = -1/5 x + 9
Step-by-step explanation:
- Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.
⇒ y = -1/5 x + b ------ (1)
- Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)
⇒ 9 = -1/5 × -10 + b = 2 + b
⇒ b = 9 - 2 = 7
- Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.
⇒ y = -1/5 x + 7
It can also be written as 5y + x = 35
Answer:
135 cupcakes
Step-by-step explanation:
Answer:
A-square
Step-by-step explanation:
The formula for the surface area of a cube is:
SA = 6a²
where a is the length of the cube
To solve this problem, let us first assign some
variables. Let us say that:
x = pigs
y = chickens
z = ducks
From the problem statement, we can formulate the
following equations:
1. y + z = 30 --->
only chicken and ducks have feathers
2. 4 x + 2 y + 2 z = 120 --->
pig has 4 feet, while chicken and duck has 2 each
3. 2 x + 2 y + 2 z = 90 --->
each animal has 2 eyes only
Rewriting equation 1 in terms of y:
y = 30 – z
Plugging this in equation 2:
4 x + 2 (30 – z) + 2 z = 120
4 x + 60 – 2z + 2z = 120
4 x = 120 – 60
4 x = 60
x = 15
From the given choices, only one choice has 15 pigs. Therefore
the answers are:
She has 15 pigs, 12 chickens, and 18 ducks.