Answer:
I cant see what it says. please don't report me. Take a closer picture
Step-by-step explanation:
The soluition set is (-3,5) and a normal ordered pair reads (x,y). So that means 5 = [_]x-10
-Add 10 to both sides
15 = [_]x
-And we know the value of x so lets sub that in.
15 = [_](-3)
-And now we divide by -3
-5 = [_]
Next we have 3x-[_]y=-19
-Lets start this buy substituting values of x and y into the equation again.
3(-3)-[_](5)=-19
-Simplify
-9 - [_](5) = -19
-Move the (-9) by adding 9 to both sides
-[_](5) = -10
-divide by 5 = -2
-(1)[_] = -2
[_] = 2
So let n be the smallest number. To have consecutive even integers each number goes up by 2 so n, n+2, n+4, n+6, n+8.
Therefore, n+n+2+n+4+n+6+n+8=290
5n+20=290
5n=270
n=54
A picture can help.
The median to the long side divides the isosceles triangle into two right triangles with hypotenuse 10 and short leg 6. Thus the long leg (median of interest) is found by the Pythagorean theorem to be
... √(10² -6²) = √64 = 8
Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.
The sum of squares of interest is
... 8² + 2×97 = 258
1. plug in the numbers for the variables, like this: 9(-5)+18(-1)
2. solve
Hopefully this helps! Let me know if you need more explanation.