Answer:
CD = 7
Step-by-step explanation:
Since D is on the line segment CE then
CE = CD + DE , substitute values
2x = x + 7 ( subtract x from both sides )
x = 7
Thus
CD = x = 7
Answer:
Step-by-step explanation:
Given that
7x+4y+2=0
There are two ways to find the slope or gradient if the graph
1. Find the derivative with respect to x
2. Or comparing the equation to equation of a line y=mx+c
Using the first step
7x+4y+2=0
Differentiating with respect to x
7+4dy/dx+0=0
4dy/dx=-7
Then, dy/dx=-7/4
The slope is -7/4
2. Using the equation of a line
7x+4y+2=0
Let rearrange the equation and make y the subject of the formular
4y=-7x-2
Divide through by 4
4y/4=(-7x/4)-(2/4)
y=-7/4 x — 1/2
Comparing this to equation of a line y=mx+c,
Then m=-7/4. And the intercept c=-1/2
Now find intercept on x axis
The intercept on axis x means at y=0
Then
7x+4y+2=0
y=0
7x+0+2=0
7x=-2
Then, x=-2/7.
The intercept on the x axis is -2/7
Also intercept on y axis, i.e. at x=0
7x+4y+2=0
0+4y+2=0
4y+2=0
4y=-2
y=-2/4
y=-1/2.
Then intercept on the y axis is -1/2
Answer:
2775.9
Step-by-step explanation:
options are
A) 578
B) 2775.9
C) 134.591
D) 31.757
Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal
0.5 = 5/10
ten times of this value = 5/10*10 = 5
Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.
In the given question
A) 578
here 5 is at hundredth place
other way to represent is is 500+70+8
B) 2775.9
here 5 is unit place and is correct option
it can be represented as
2000+ 700+ 70+ 7 + 9/10
c)C) 134.591
here 5 is tenth place after decimal
it can be represented as
100+ 30+ 5 + 5/10+9/100 + 1/1000
d)31.757
here 5 is hundredth place after decimal
it can be represented as
30+ 1 + 7/10+5/100 + 7/1000\
Hence, 2775.9 is correct choice.