Answer:
Step-by-step explanation:
Are the sides consistent with the Pythagorean theorem?
37² + 54² ≟ 62²
1369 + 2916 = 4285 ≠ 62²
Not a right triangle.
Answer:
C: x = 7
Step-by-step explanation:
The easiest way to do this is to simply try all of the x-vales given as options.
Option 1: x = -1
Since 
, we'll use the first equation.
As we can see, g(-1) is not -4.
Option 2: x = 3
Since 
, we'll use the 2nd equation.
Not -4.
Option 3: x = 7
Since 
, we'll use the 3rd equation.
Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:
Option 4: x = 4
Since 
(less than <em>or equal to</em>), we'll use the 3rd equation.
Answer:
H
Step-by-step explanation:
I don't know if I did it wrong because I got 4,206.27 but I probably did
Answer:
====================================================
Step-by-step explanation:
The question is missing the attached figure.
The edge of each cube used to build this rectangular prism is 1/3 inch long. Based on the attached figure.
the volume of the prism = length × height × width
length = 
height =
width = 
So the volume of the prism = 
∴ The equation that shows the volume of the prism, in cubic inches
=
A)
s = sweater
j = jeans
Equations:
4s + 2j = 140
2s + 3j = 150
B)
4s + 2j = 140
2s + 3j = 150
Multiply (-2) to the second equation
-2 (2s + 3j = 150)
-4s - 6j = -300
Now you have the equations:
4s + 2j = 140
-4s - 6j = -300
-----------------------------add
-4j = -160
j = 40
4s + 2(40) = 140
4s + 80 = 140
4s = 60
s = 15
The cost for a sweater is $15 and the cost for a jean is $40
We used the elimination method to solve the system of equations.
C)
Each pair of jean, she will buy 3 sweaters so total = 40 + 3(15) = $85
Total cost for 1 pair of jeans and 3 sweaters = $85
If she has $225 the
$225 / $85 = 2.64
2 jeans = 2 x 40 = $80
6 sweaters = 6 x $15 = $90
So She can only buy 2 jeans and 6 sweaters
