Answer:
Step-by-step explanation:
Edith is x years old.
Her sister,Madison is six years older than her. This means that the age of Madison is x + 6
Their mother is twice as old as Madison. This means that the age of their mother is expressed as
2(x + 6)
= 2x + 12
Their aunt, Elizabeth is x years older than their mother. This means that the expression that represents Elizabeth's age in years is
2x + 12 + x
= 3x + 12
To find the area of a square with it's diagonal, there's actually a formula = (1/2)d², but here's how to do it if you don't have the formula:
The diagonal <em>c</em> separates the square into two of the same triangles. Therefore, we can apply Pythagorean Theorem
a²+b²=c² ← Since this is a square, a=b is a must
a²+a²=c² ← Combine like terms, and plug 26 in for c
2a²= 26² ← 26²=676, then divide 2 on both sides
a²= 676/2
a²=338 ← We can just stop here! Since <em>a </em>is a side of the square, therefore the area of a square = a²
Answer: 338 units²
Answer:
6.
Step-by-step explanation:
We can start by defining a couple things.
x = amount of nickels
y = amount of dimes
Since he has the same amount of each, we can say this.
x = y
And because we know it totals 0.90, we can say this.
0.05x + 0.10y = 0.90
then, we substitute and get this.
0.05x + 0.10x = 0.90
Simplify.
0.15x = 0.90
Divide both sides by 0.15.
x = 6
So we have 6 nickels, and they both are the same, so we have 6 dimes.
Answer:
no
Step-by-step explanation:
Transformations of logarithmic graphs behave similarly to those of other parent functions. We can shift, stretch,compress, and reflect the parent function y=log b (x) without loss of shape.
