Answer:
y= -2x -8
Step-by-step explanation:
I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.
A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).
Let's find the gradient of the given line.

Gradient of given line




The product of the gradients of 2 perpendicular lines is -1.
(½)(gradient of perpendicular bisector)= -1
Gradient of perpendicular bisector
= -1 ÷(½)
= -1(2)
= -2
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

Midpoint of given line



Substituting (-3, -2) into the equation:
-2= -2(-3) +c
-2= 6 +c
c= -2 -6 <em>(</em><em>-</em><em>6</em><em> </em><em>on both</em><em> </em><em>sides</em><em>)</em>
c= -8
Thus, the equation of the perpendicular bisector is y= -2x -8.
Step-by-step explanation:
oranges sell 8 for 1.84$
so,
1 unit orange =
⠀
Answer:
A
Step-by-step explanation:
2 to 3 means that the ratio of romantic students has a numerator of 3. If there is a numerator of 3 the denominator has to be 5 because 2+3 is five if the fraction is 3/5, then the answer is A.
Answer:

Step-by-step explanation:
Let us apply the distributive property to find an equivalent expression for:

For all real numbers a, b, and c, the distributive property says that:

We apply this property to get:


We simplify the RHS to get:

Answer:
<h2><em><u><</u></em><em><u>ABT</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>43</u></em><em><u>°</u></em></h2><h2><em><u><</u></em><em><u>TBC</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>43</u></em><em><u>°</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
Line BT is the bisector of <ABC
<em><u>So</u></em><em><u>,</u></em>
3x + 13 = 5x - 7
=> 13 + 7 = 5x - 3x
=> 20 = 2x

=> x = 10
<em><u>As</u></em><em><u>,</u></em><em><u> </u></em>
We got the value of <em><u>x = 10</u></em>
<em><u>Therefore</u></em><em><u>, </u></em>
<em><u><ABT</u></em> = 3x + 13 °
= 3×10 + 13 °
= 30 + 13°
= <em><u>43°</u></em>
<em><u><TBC</u></em> = 5x - 7°
= 5 × 10 - 7°
= 50 - 7°
= <em><u>43°</u></em>
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>Value</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u><</u></em><em><u>ABT</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>43</u></em><em><u>°</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>value</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u><</u></em><em><u>TBC</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>43</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>