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❖ 2. a: Associative property b: Associative property c: Associative property
d: Associative property
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Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Answer:
L = 3 1/3 feet
Step-by-step explanation:
A = length × width
now let's change all the mixed numbers into improper fractions:
35/6 = 7/4 × L
we must divide each side by 7/4
35/6 ÷ 7/4 is the same as 35/6 × 4/7 = 20/6 or 3 1/3
Answer:
The given lengths do not make a right triangle
Step-by-step explanation:
A right triangle has the sum of the squares of the side lengths equal to the square of the hypotenuse, per the Pythagorean Theorem:
Since the sum of the squares of the side lengths are not equal to the square of the hypotenuse, then the lengths of the triangle don't make a right triangle.
Answer:
f(x) = 2(x + 3)²
Step-by-step explanation:
Parent Graph: f(x) = a(bx - h)² + k
<em>a</em> is vertical shrink/stretch
<em>b</em> is horizontal shrink/stretch
<em>h</em> is horizontal movement left/right
<em>k</em> is vertical movement up/down
<em>h, k</em> is vertex
Step 1: Define variables
h = -3
k = 0
a = 2
Step 2: Write quadratic
f(x) = 2(x + 3)²
