y - y₁ = m(x - x₁)
y - 1 = 1³/₅(x - 2) Point - Slope Form
y - 1 = 1³/₅(x) - 1³/₅(2)
y - 1 = 1³/₅x - 3¹/₅
+ 1 + 1
y = 1³/₅x - 2¹/₅ Slope - Intercept Form
-1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
-1³/₅x - y = -2¹/₅
-1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
1³/₅x - y = 2¹/₅ Standard Form
1³/₅(0) - y = 2¹/₅
0 - y = 2¹/₅
-y = 2¹/₅
-1 -1
y = -2¹/₅ Y - Intercept
(x, y) = (0, -2¹/₅)
Step-by-step explanation:
Notation x^2-6x-7<0
x2−6x−7<0
Convert the inequality to an equation.
x2−6x−7=0
Factor
x2−6x−7
using the AC method.
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(x−7)(x+1)=0
Set
x−7=0
and solve for x.
Set the factor equal to 0.
x−7=0
Add
7
to both sides of the equation.
x=7
Set
x+1=0
and solve for x.
x=−1
Consolidate the solutions.
x=7,−1
Use each root to create test intervals.
x<−1−1<x<7x>7
Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.
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x<−1
False
−1<x<7
True
x>7
False
The solution consists of all of the true intervals.
−1<x<7
Convert the inequality to interval notation.
(−1,7)
Answer:
Step-by-step explanation:
∠1 & ∠2 are co interior angles. co interior angles are supplementary.
∠1 + ∠2 = 180
102 + ∠2 = 180
∠2 = 180 - 102
∠2 = 78°
Answer:
t=22
Step-by-step explanation:
13x2-2x2
26-4
22
