Answer:
x = 17, y = 28
Step-by-step explanation:
1. Isolate for x in "x - y = -3, -8":
x - y+y = -3, -8+y
x = -11 + y
2. Substitute "x = -11 + y" in for x in the second expression:
-11 + y + y = 45
3. Simplify:
-11 + 2y = 45
4. Isolate y:
-11+11 +2y = 45+11
2y = 56
y = 28
5. Substitute the new y-value into the first equation:
x = -11 + 28
x = 17
hope this helps!
Answer:
<h2>x = 6.5 cm</h2>Step-by-step explanation:
The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.
Use the Pythagorean theorem:
We have
Substitute:
<em>use (a + b)² = a² + 2ab + b²</em>
<em>subtract x² from both sides</em>
<em>subtract 216.09 from both sides</em>
<em>divide both sides by 29.4</em>
9514 1404 393
Answer:
y = -3x^2 -9x +30
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...
f(x) = (x +5)(x -2)
At the point x=3, the value of this product is ...
f(3) = (3 +5)(3 -2) = (8)(1) = 8
In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...
y = -3(x +5)(x -2)
y = -3x^2 -9x +30 . . . . . standard form
