Answer:
DE = 80.
Step-by-step explanation:
Since the 2 lines are congruent:
5x = 3x + 32
2x = 32
x = 16
So DE = 3(16) + 32
= 48 + 32
= 80.
Answer:
The y-intercept and x-intercept of the line are 2 and -4 respectively.
Step-by-step explanation:
Given equation of line -x + 2y = 4
We have to find the y-intercept and x-intercept of the line.
Consider the given equation of line -x + 2y = 4
the y-intercept of line is the point where the line touches y axis and we know at y axis the coordinate of x is 0.
Thus, putting x = 0 in line equation , we get,
-(0) + 2y = 4
⇒ y = 
⇒ y = 2
the x-intercept of line is the point where the line touches x axis and we know at x axis the coordinate of y is 0.
-x + 2(0) = 4
⇒ x = - 4
Thus, the y-intercept and x-intercept of the line are 2 and -4 respectively.
Answer:
26) underroot 2=1.4
27) underroot 20=4.5
Step-by-step explanation:
Answer:
y-4=-10(x-1)
Step-by-step explanation:
Point-slope form is:

We are given the slope of -10 and the point (1,4). So:
m = -10
x1 = 1
y1= 4
Replace the appropriate values:

So, y-4=-10(x-1) should be the point-slope equation.
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!