Answer:
3.8s
Step-by-step explanation:
Solve for h=0, you will get t=3.75
Answer:
v = - 5
Step-by-step explanation:
Given
- 18 = 5v + 7 ( subtract 7 from both sides )
- 25 = 5v ( divide both sides by 5 )
- 5 = v
Answer:
<h3>
The reason which is incorrect is in Step 2 and reason 2</h3>
Step-by-step explanation:
Given that Logan's equation is 
<h3>To simplify and find the which reason is incorrect :</h3>
Logan's solution and reasoning for solving an equation are shown below:
Step1 
Reason 1: Given
Step2 
Reason 2: Addition Property of Equality
Step3 
Reason 3: Simplify
Step4 
Reason 4: Division Property of Equality
Step5 
Reason 5: Simplify
<h3>
The reason which is incorrect is in Step 2 and reason 2</h3><h3>
The corrected steps are</h3>
Step1 
Reason 1: Given
Step2 
Reason 2: Distributive property
Step3 
Reason 3: Simplify
Step4 
Reason 4: Addition Property of Equality
Step5 
Reason 5: Simplify
Step6 
Reason 6: Division Property of Equality
Step7 
Reason 7: Simplify
<h3 />
<h3>1.</h3>
The equation in point-slope form: y - y₁ = m(x - x₁)
slope: m = -2
point: (4, -5) ⇒ x₁ = 4, y₁ = -5
Therefore, the equation of the line in point-slope form:
<h3>
y + 5 = -2(x - 4)</h3>
<h3>2.</h3>
The equation in slope-intercept form: y = mx + b
Parallel lines has the same slope, so:
y = 4x + 2 ⇒ a = 4
If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.
(4, 6) ⇒ x₁ = 4, y₁ = 6
So: 6 = 4·4 + b ⇒ b = -10
Therefore the equation:
<h3>
y = 4x - 10</h3>
<h3>3.</h3>
a = 3
(-1, 1) ⇒ x₁ = -1, y₁ = 1
So: 1 = 3·(-1) + b ⇒ b = 4
The equation:
<h3>
y = 3x + 4</h3>
<h3>4. </h3>
The product of slopes of perpendicular lines is -1.
2x - 7y = 1 ⇒ 7y = -2x + 1 ⇒ y = -²/₇x + ¹/₇
-²/₇×m = -1 ⇒ m = ⁷/₂
(0, -4) ⇒ x₁ = 0, y₁ = -4
-4 = ⁷/₂·0 + b ⇒ b = -4
The equation:
<h3>
y = ⁷/₂x - 4</h3>