Perpendicular lines have negative reciprocal slopes. So if the slope is -2/5...to find the negative reciprocal, " flip " the slope and change the sign.
So we flip -2/5 and we get 5/-2...and now we change the sign...and we get 5/2. So our perpendicular slope will be 5/2.
Answer:
12 pieces each:
Step-by-step explanation:
Given
-- first string
--- second string
Required
Determine the number of equal pieces
To do this, we first calculate the HCF of the length of both pieces
The HCF is:
<em>Hence, he can cut both strings to 12 pieces each</em>
<em></em>
<em>Recall that </em>
<em>The first string can then be cut in to 3 inches each (i.e. 36/12)</em>
<em>The first string can then be cut in to 4 inches each (i.e. 48/12)</em>
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
isolate the variable y
Divide by -4 both sides
Remember
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
The solution of the inequality is the shaded area above the dashed line
The slope of the dashed line is positive m=1/4
The y-intercept of the dashed line is (0,0)
The x-intercept of the dashed line is (0,0)
using a graphing tool
The graph in the attached figure
Answer:
a. m DCB =<DAB=120 opposite angle of the parallelogram are equal
again
BP=PD diagonal bisect it
3x+7=-x+17
3x+x=17-7
4x=10
x=10/4=5/2
b. BD =3x+7-x+17=3×5/2+7-5/2+17=2×5/2+24=5+24=29