Answer:
y = mx+b
Step-by-step explanation:
The slope intercept formula for a line is
y = mx+b where m is the slope and b is the y intercept
Answer:
Step-by-step explanation:
The point A has coordinates (5, 1) so the image of A which is A' has
coordinates (5 - 2, 1+3)
= (3, 4).
B', C' and D' are calculated in the same way.
So B' is (4, 1),
C' = (3, 2) and
D' = (2, 1)
Answer:
g(f(3)) = 0
Step-by-step explanation:
f(x) = 2x - 9
f(3) = 2(3) - 9
f(3) = -3
g(-3) = 9 - (-3)^2
g(-3) = 9 - 9
g(-3) = 0
Answer:
Step-by-step explanation:
"Find the values of x that satisfy 3x - 2x^2 = 7." Please do not use " × " to represent a variable; " × " is an operator, the "multiply" operator.
Rearrange these three terms in descending order by powers of x:
-2x^2 + 3x - 7 = 0. Here the coefficients are a = -2, b = 3 and c = -7, and so the discriminant of this quadratic is b^2-4ac, or 9 - 4(-2)(-7), or 9 - 56, or -47.
Because the discriminant is negative, we'll have two different complex roots here. The quadratic formula becomes
-3 ± i√47 -3 ± i√47
x = ----------------- = -------------------
2(-2) -4
Answer:
She is about 14.765 miles (
miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
- The side opposite to the right angle is called hypotenuse and it is the longest side
- The other two sides called legs of the right angle
- The relation between them is: (hypotenuse)² = (leg1)² + (leg2)²
∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
- hypotenuse is the distance between her start and end points
- leg1 is her distance in south direction
- leg2 is her distance in east direction
∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse =
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ( miles) from where she started.
