Is there a picture?
So we can figure it out
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>

<h3><u>Given </u><u>:</u><u>-</u></h3>
- We have given the coordinates of the triangle PQR that is P(-4,6) , Q(6,1) and R(2,9)
<h3><u>To</u><u> </u><u>Find </u><u>:</u><u>-</u></h3>
- <u>We </u><u>have </u><u>to </u><u>calculate </u><u>the </u><u>length </u><u>of </u><u>the </u><u>sides </u><u>of </u><u>given </u><u>triangle </u><u>and </u><u>also </u><u>we </u><u>have </u><u>to </u><u>determine </u><u>whether </u><u>it </u><u>is </u><u>right </u><u>angled </u><u>triangle </u><u>or </u><u>not </u>
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>
<u>Here</u><u>, </u><u> </u><u>we </u><u>have </u>
- Coordinates of P =( x1 = -4 , y1 = 6)
- Coordinates of Q = ( x2 = 6 , y2 = 1 )
- Coordinates of R = ( x3 = 2 , y3 = 9 )
<u>By </u><u>using </u><u>distance </u><u>formula </u>

<u>Subsitute </u><u>the </u><u>required </u><u>values </u><u>in </u><u>the </u><u>above </u><u>formula </u><u>:</u><u>-</u>
Length of side PQ






Length of QR





Length of RP





<h3><u>Now</u><u>, </u></h3>
We have to determine whether the triangle PQR is right angled triangle
<h3>Therefore, </h3>
<u>By </u><u>using </u><u>Pythagoras </u><u>theorem </u><u>:</u><u>-</u>
- Pythagoras theorem states that the sum of squares of two sides that is sum of squares of 2 smaller sides of triangle is equal to the square of hypotenuse that is square of longest side of triangle
<u>That </u><u>is</u><u>, </u>

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>,</u>


<u>From </u><u>above </u><u>we </u><u>can </u><u>conclude </u><u>that</u><u>, </u>
- The triangle PQR is not a right angled triangle because 205 ≠ 45 .
9514 1404 393
Answer:
(-4, -13)
Step-by-step explanation:
When the translation (T) is added, the image is formed.
(4, -9) +T = (9, -14)
T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)
The same holds for the second point:
(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)
The image of the second point under the same translation is (-4, -13).
Answer:
y = -3/7 x + 41/7
Step-by-step explanation:
The Slope (m) is -3/7
y= mx+ b
They y intercept passing through the pt. (-2,5 ) is
5 = -3/7(2) +b
5 = -6/7 +b
b= 41/7
y = mx +b
y = -3/7 x + 41/7