Answer:
-4
Step-by-step explanation:
The slope is usually a function of the differences in y divided by the differences in x, and it can be described in the following equation,
(1)
We can select any of the two points to be our first point, let's say, J(1,-4) is point 1, so J (x1,y1). In other words, 
and by the same way, for K(-2,8). Therefore, 
. By substituting these values in equation 1, we can deduce the following
Answer:
Acute angle
Step-by-step explanation:
Given, IJ = 3x + 3, HI = 3x - 1, and HJ = 3x + 8.
Since I is a point on line segment HJ, we can write
Put x=2 in HJ=3x+8.
Therefore, the numerical length of HJ is 14.
Answer:
No DB is not a perpendicular bisector of AC
Step-by-step explanation:
This is because as AC is a straight line it's angle degree is 180 which when bisected by DB becomes,
180 ÷ 2 = 90
On both the angles i.e <BDC = <NDA = 90°
To make it a perpendicular bisector but
<BDC is not equal to <NDA is not equal to 90°.
Hence, DB is not a perpendicular bisector of line AC.
Answer:
- <em><u>The field in Lexie's drawing should be 20 cm long.</u></em>
Explanation:
Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.
The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:
- length of the drawing / width of the drawing = length of the field / width of the field
Thus, using x for the unknown width of the drawing:
- 30 cm / x = 120 yard / 80 yard
Thus, you must solve for x:
- 30 cm × 80 yard = 120 yard × x
- x = 30 cm × 80 yard / 120 yard = 20 cm.
Hence, the field in Lexie's drawing should be 20 cm long.
