Answer:
y = -x - 4
Step-by-step explanation:
First find the slope
y - 4 = (x - 6)
y - 4 = x - 6
y = x - 6 + 4
y = x - 2 (y = mx + C)
Slope m = 1
It is said that the line is perpendicular to a point ( -2, -2)
If two lines are perpendicular, their slope will be negative reciprocal
The negative reciprocal of slope = 1 is -1
Using a slope intercept form as requested by the question
y = mx + C
Inserting the values given
(-2, -2)
We are using point slope form
y - y_1 = m ( x - x_1)
x_1 = -2
y_1 = -2
m = -1
Insert the values
y - ( -2)) = -1( x - (-2))
y + 2 = -1 ( x + 2)---- point slope form
But we are requested to give the answer in slope intercept form
y = mx + C
We have to open the bracket
y + 2 = -1(x + 2)
y + 2 = -x - 2
y = -x - 2 - 2
y = -x - 4 ( slope - intercept form)
Answer:
18x
Step-by-step explanation:
get the x by itself then it is 2+4=6 so that is 6x and then do 3+x=3x and 6x×3x= 18x
Answer:
Therefore the value of x is 5.
Step-by-step explanation:
Given:
△ABC ≅ △DEF,
EF = x 2 - 7, and
BC = 4x - 2.
To Find:
the values of x. = ?
Solution:
△ABC ≅ △DEF ........Given
If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.
∴ BC ≅ EF ...................CPCTC
Substituting the values we get
Now By Factorizing we get
Therefore the value of x is 5.
Answer:
I would rather do the second option of which uses Compound interest that will give a profit of $47.85
Step-by-step explanation:
In this problem we will be exploring the two formulas
1. simple interest
A= P(1+r*t)
2. compound interest
A= P(1+r/n)^nt
Where A= final amount
P= initial amount
r= rate
t= time.
n= number of periods Compounded
1.given data
P= $600
r= 3%= 3/100= 0.03
t= 2 years
A= 600(1+0.03*2)
A= 600(1+0.06)
A= 600(1.06)
A= $636
Interest = 636-600= $36
2. Given data
P= $600
r= 4%= 4/100= 0.04
n= 24
t= 2
A= 600(1+0.04/24)^24*2
A=600(1+0.0016)^48
A=600(1.0016)^48
A= 600*1.07975
A= 647.85
Interest = 647.85-600= $47.85
