Answer:
Step-by-step explanation:
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Answer:
a) (6;6)
b) Yes
d) The intersection is on the vertical axis.
Step-by-step explanation:
a) A(2,4)
B (2,2)
Vecto BA (4, 2)
Vecto n (-4,2)
We have:
(2 - 4) x (X - (-2)) + (2 - (-2)) x (Y - 2) = 0
=> -2X + 4Y - 12 = 0
=> Y = X/2 +3
Let's find the value of y if (6,y) lies on the plane:
Put X = 6 => Y = 6
b)
X/2 + 3 = 3 - X
=> X/2 = -X
=> X =0 -> Y = 3
C (0;3)
d) The intersection is on the vertical axis.
I hope my answer will help you.
The area of the parallelogram would be:
parallelogram area= length * width= 4*3=12
The area of the rectangle is count by multiplying the length and wide. In this picture, the length and wide is on diagonal line so you need to apply c^2= a^2+b^2 to find them.
length
length^2= a^2+b^2
length^2= 6^2+9^2
length^2= 117
length=√117
width
width^2= a^2+b^2
width^2= 2^2+3^2
width^2= 13
width= √13
rectangle area= length*width
rectangle area=√13*√117= √1521=39
Total area= 12+39= 51
-75 = -8b - 7b
To solve for "b" you must isolate it, meaning that "b" must be the only thing on the right side of the equation.
First you must combine like terms. Like terms are numbers that have matching variables OR are numbers with out variables. In this case the like terms are -8b and -7b, since they both have the variables "b" attached.
-8b + (-7b) = -15b
so...
-75 = -15b
Next, to completely isolate b, divide -15 to both sides. Since -15 is being multiplied by b, division (the opposite of multiplication) will cancel -15 out (in this case it will make -15 one) from the right side and bring it over to the left side.
-75/-15 = -15b/-15
5 = 1b
b = 5
Check:
-75 = -8(5) - 7(5)
-75 = -40 - 35
-75 = -75
Hope this helped!
~Just a girl in love with Shawn Mendes
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
The slope-point form: y - y₁ = m(x - x₁)
We have:
m = 3 and the point (-5, 6) → x₁ = -5 and y₁ = 6
Substitute:
y - 6 = 3(x - (-5))
y - 6 = 3(x + 5) |use distributive property
y - 6 = 3x + 15 |add 6 to both sides
y = 3x + 21
<h3>Answer: y = 3x + 21</h3>
