Answer:
54
Step-by-step explanation:
If we know that Josh edits at a rate of 1/6 of a page in three minutes... then using the Unit rule... we can determine that he edits 1 whole page 6 times longer than that. By doing that... we find that Josh edits 1 page in 18 minutes. From there... we multiply the time at which it takes him to edit one page (18 minutes) by 3 (pages) to get our answer.
18 x 3 = 54
In order for the triangle to be called an isosceles right triangle, it must satisfy both conditions: XZ and XY must be perpendicular to each other, and XZ = XY.
To determine whether two lines are perpendicular, their slopes must be negative reciprocals of each other.
Solving for the slopes of XZ and XY:
slope of XZ = (y₂-y₁) / (x₂-x₁) = (6-3)/(5-1) = 3/4
slope of XY = (y₂-y₁) / (x₂-x₁) = (3--1)/(1-4) = -4/3
-4/3 is the negative reciprocal of 3/4, therefore XZ and XY are perpendicular to each other.
Solving for distance:
XZ = √[(y₂-y₁)²+(x₂-x₁)²] = √[(6-3)²+(5-1)²] = 5
XY = √[(y₂-y₁)²+(x₂-x₁)²] = √[(3--1)²+(1-4)²] = 5
<span>The slope of XZ is 3/4, the slope of XY is -4/3, and XZ = XY = 5. </span>
Missing part of question
(a) (-3, 4) and (5, 4)
(b) (4, 5) and (4, -3).
Answer:
(a) (-3, 4) and (5, 4)
Zero slope
Horizontal line
(b) (4, 5) and (4, -3).
Undefined slope
Vertical line
Step-by-step explanation:
Solving (a): (-3, 4) and (5, 4)
Slope (m) is calculated as:
This gives
This line has a slope of zero.
When slope equals 0, then the line is horizontal
Solving (b): (4, 5) and (4, -3)
Slope (m) is calculated as:
This gives
<em>m = undefined</em>
This line has an undefined slope.
When the slope of a line is undefined, then the line is vertical
X^2-13x+30
x^2-10x-3x+30
x(x-10)-3(x-10)
(x-3)(x-10)
so two zeors are 3 and 10 !!