42 feet to 6 feet can be written as both ratio and a fraction:
42:6
42/6
If we look at the fraction, we can clearly see that we can simplify it:
42/6 = 7/1 = 7
So we can write the ratio in its lowest terms as 7:1.
Answer:
Step-by-step explanation:
4x+6+3x+8=28
combine like terms
7x+14=28
subtract 14
7x=14
divide
x=2
if you plug it in you get-
4(2)+6+3(2)+8=
8+6+6+8=12+16=28
thats how you can check. if you want me to explain more i can totally help
Answer:
longer leg: 20 in
shorter leg: 15 in
hypotenuse: 25 in
Formulas:
<u>Pythagorean Theorem</u>

c ... hypotenuse
a ... one leg
b ... another leg
Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).
Step-by-step explanation:
longer leg: x
shorter leg: x - 5
hypotenuse: x + 5
To find x (longer leg), let's use Pythagorean theorem.

Now let's factorize to get solutions for x.

First solution:

Second solution:

Since a side of a triangle has to be a positive number, x is equal to 20.
Now let's just substitute x back to get side lengths. From the question the lengths are in inches.
longer leg: x = 20 in
shorter leg: x - 5 = 20 - 5 = 15 in
hypotenuse: x + 5 = 20 + 5 = 25 in
A linear transformation is a function T:R^n-->R^m that satisfies the following properties
1.T(x+y)=T(x)+T(y)
2.T(ax)=aT(x)
i hoped this helped i honestly tried . let me know if im missing something
Step-by-step explanation:
p⁴+8p²q²+16q⁴
(p²)²+2×p²×4q²+(4q²)²
We know that,
Therefore,
- (p²)²+2×p²×4q²+(4q²)²
- (p²+4q²)²
- (p²+4q²)(p²+4q²)