<span>x² +y² -4x -6y +8=0
(x² -4x) +(y² -6y) = -8
We are going to complete square for x and y,
it should look like a²+2ab+b² = (a +b)², or </span>a²-2ab+b² = (a -b)²,
<span>
(x²-2*2x+2²) -2² + (y²-2*3y +3²)-3²=- 8
(x-2)²+(y-3)²-4-9=-8
</span>(x-2)²+(y-3)²=-8+13
(x-2)²+(y-3)²=5
<span>
Formula a circle (x-h)²+(y-k)²=R², where vertex has coordinates (h, k)
So , for our circle vertex (2,3) and radius = </span>√5<span>
</span>
Answer:
Perimeter: 18 ft
Height: 7 ft
Base Area: 12
Surface Area: (7)*(8) + 2(47) = 150
Step-by-step explanation:
To find the perimeter add all the edges together.
5 + 5 + 8 = 18
To find the height look at the diagram. 7ft shows the height of the rectangle and thus is the height for the rest of the shape.
Base Area:
Multiply the length (8ft) of the base by the height of the base (3ft)
8 * 3 = 24
Then divide by 2 to get the total area of the triangle
24 / 2 = 12.
Surface Area:
To find the surface area you to need to find the specifics of each side.
The base area we already solved for which is 12. We'll get back to this in a minute. The other double sides are of 5 * 7. That equals 35. Add together 12 + 35 to get 47. That is what will go in the 2(___) box because both of those sides have 2. It is the same number when done this way versus just adding them up.
47 * 2 = 94
12 + 12 + 35 + 35 = 94
Then for the (___)(___) that would be 7ft * 8ft because it is the only side left and does not have a double so it must be separate.
7 * 8 = 56
56+94 = 150
$1086.20
First let’s find her commission.
Convert 13% to a decimal
13/100=0.13
3740*0.13=468.20
Then let’s find how much she made from her weekly salary
There are 4 weeks in January, and she makes $150 each week
150*4=600
Add the commission and salary together
600+468.20=1086.2
She earned $1068.20 for the 4 weeks in January.
Hope this helped!
Answer: -10
Step-by-step explanation: -24/-8 = 3
3-13 = -10
Answer:
760
Step-by-step explanation:
Jimmy has 2 times of carmry, so multiply carmry by 2
and that is 38, Bella has 20 times Jimmy 38*2 that is 760
please give brainliest and helpful
