Answer:
<u>y = - 6.375</u>
Step-by-step explanation:
Step 1:
4 ( y - 3y ) - 19 = 32 Equation
Step 2:
4y - 12y - 19 = 32 Multiply
Step 3:
- 8y - 19 = 32 Combine Like Terms
Step 4:
- 8y = 51 Add 19 on both sides
Step 5:
y = 51 ÷ - 8 Divide
Answer:
<u>y = - 6.375</u>
Hope This Helps :)
Answer:
a) 625; 625; right triangle
b) 205; 256; obtuse triangle
Step-by-step explanation:
The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.
<h3>left side</h3>
7² +24² = 49 +576 = 625
25² = 625
The sum of the squares of the short sides is the square of the long side, so this is a right triangle.
__
<h3>right side</h3>
6² +13² = 36 +169 = 205
16² = 256
The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an <em>obtuse triangle</em> (as shown).
We'll start with the expression for the quotient of 
and 
, which means we'll use division:
Now we find 
less than that, meaning we'll use subtraction:
Kayla will receive $1.81 change.
10.00-8.19= $1.81
Answer:
x=5.75 ; price of a single popcorn
y=2.25 ; price of a drink
system of equations
2*x+3*y= 18.25
4*x+2*y=27.50
Step-by-step explanation:
x= price of popcorn
y= price of drink
2*x+3*y= 18.25 ; this is information for Mohamed
4*x+2*y=27.50 ; this is informtion for miguel
solve an equation for y
2y=27.50-4x
y=13.75-2x
substitue into other equation
2*x+3(13.75-2x)=18.25
2*x+41.25-6x=18.25
-4x+41.25=18.25
-4x=-23
x=5.75 ; price of a single popcorn
swap x=5.75 into the other equation
4*5.75+2*y=27.50
2y=4.5
y=2.25 ; price of a drink
put back in to check work
2*5.75+3*2.25
11.5+6.75=18.25
![-1\ \textgreater \ [4]-5](https://tex.z-dn.net/?f=-1%5C%20%5Ctextgreater%20%5C%20%5B4%5D-5)
The right side is in fact equal to the left side so that's not the answer. For (-1, -4): ![-4\ \textgreater \ [-1]-5](https://tex.z-dn.net/?f=-4%5C%20%5Ctextgreater%20%5C%20%5B-1%5D-5)
and these are also equal. Let's try C now (-4, 1): ![1\ \textgreater \ [-4]-5](https://tex.z-dn.net/?f=1%5C%20%5Ctextgreater%20%5C%20%5B-4%5D-5)
. The absolute vale of -4 is 4 so 4 - 5 = -1 which is, in fact, less than 1. So C is our answer.