9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
_____
* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
The answer is k=<span>160..............</span>
Answer:
i think its b
Step-by-step explanation:
The <em>correct answer</em> is:
d) Construct the angle bisector of each angle in the triangle
Explanation:
The incenter, or center of an inscribed circle, is the point where the angle bisectors of a triangle intersect. This means the first thing we will need to construct is the bisector of each angle of the triangle.
Answer:
151434/358 = 423
Step-by-step explanation:
Every product with non-zero factors can be written as an equivalent division relation.
a·b = c ⇒ a = c/b
Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...
4.23 = 151.434/35.8
We can multiply this by 100 to get a division relation with a quotient of 423:
423 = 15143.4/35.8
If we want, we can move the decimal points another place to the right to get ...
151434/358 = 423
