Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is
y = 2x - 2
Comparing with the slope intercept form,
Slope, m = 2
This means that the slope of the line that is perpendicular to it is -1/2
The given points are (-3, 5)
To determine c,
We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c
It becomes
5 = -1/2 × - 3 + c
5 = - 3/2 + c
c = 5 + 3/2
c = 13/2
The equation becomes
y = -x/2 + 13/2
Answer:
The total area of the two rooms is 188.25 square feet
Step-by-step explanation:
Given:
Area of the kitchen = 132 square feet.
Dimension of the Laundry room = 8 1/3 feet by 6 3/4 feet.
To Find:
The total area of the two rooms = ?
Solution:
Area of the two rooms = Area of the kitchen + Area of the laundry room
Area of the two rooms = 132 + Area of the laundry room
Area of the laundry room =
Area of the laundry room =
Area of the laundry = 
Area of the two rooms = 
Area of the two rooms = 132 + 56.25
Area of the two rooms = 188.25 square feet
Answer:
y = 52 degrees
x = 7 degrees
Step-by-step explanation:
Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.
[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]
- www.ck12.org
So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees
Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:
52 + y = 14x + 6 {<em>We know that y is 52 degrees so we should plug that in</em>}
52 + 52 = 14x + 6 --> Now we should simplify:
104 = 14x + 6
98 = 14x
x = 7 degrees
Answer:
-100^2
10,000
Step-by-step explanation:
a negative times a negative equals a positive so basically the question could have been worded 100^2
