comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

so substituting the value of m in to the equation

=

as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0
Answer:
Participant A
Step-by-step explanation:
Rate: jumping jacks per minute
Rate of A: 120jjs / 10mins = 12 jumping jacks per minute
Rate of B: 140jjs / 14mins = 10 jumping jacks per minute
Answer:
These are the steps to the problem that you are trying to solve. hope it's useful
KD is congruent to AT as:
<h3>angles are of equal measure</h3><h3>sides KD and TA are equal</h3><h3>sides DT and KA are equal</h3>
The figure is kite as has two pairs of same sides.
<h3>They are constructed in a way of having same angle.</h3>
Answer:
x=4
Step-by-step explanation:
1. 7x+56=14x+28 using distributive property (with the number of stes you need to have, this may count as 2)
2. 56=7x+28 by subtracting 7x from each side
3. 28=7x by subtracting 28 from both sides
4. x=4 by dividng by 7
5. plug back into equation
7(4)+56=14(4+2)
28+56=14(6)
84=84