We have that
point C(-2,-4)
point A(-4,-2)
we know that
the equation of a line in the intercept form is
y=mx+b
Step 1
find slope m
m=(y2-y1)/(x2-x1)
m=(-2+4)/(-4+2)------> 2/-2-------> m=-1
Step 2
find the value of b
with m=-1 and point C(-2,-4)
-4=-1*(-2)+b--------> -4=2+b-------> b=-6
y=mx+b
y=-x-6
the answer is
y=-x-6
Answer:
Step-by-step explanation:
<u>Given triangle ACD</u>
- AB = BC
- CD = 2x + 6
- AB = x + 5
- BC = 2x - 3
- P = ?
<u>Perimeter is sum of the side lengths:</u>
AD = CD because D is vertex and the triangle is isosceles
AC = AB + BC because B is midpoint of AC
<u>Then P is:</u>
- P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14
<u>Find the value of x from the AB = BC:</u>
- x + 5 = 2x - 3
- 2x - x = 5 + 3
- x = 8
<u>Then find the value of P:</u>
- P = 7*8 + 14 = 56 + 14 = 70 units
Answer:
x = 13 and x = 1
Step-by-step explanation:
(x-7)² = 36
simplify left side of equation
x² - 14x + 49 = 36
Our object now is to get every thing on the left side of the equal sign so we can factor. To do this, we subtract 36 from both sides
x² - 14x + 13 = 0
we then factor the left side of the equation
( x - 1 ) ( x - 13 ) = 0
we then set factors equal to 0 and solve both factors for x
x - 1 = 0
add 1 to both sides
x = 1
x - 13 = 0
add 13 to both sides
x = 13
The values of x are x = 13 and x = 1
To get the answer, divide 3852 feet by 4 days. That will give you an average of 963 feet per day as your answer.
Answer:
AB: size 4 x 4
BA: size 2 x 2
Step-by-step explanation:
When we want to multiply two matrices, we need first to check if the number of columns of the first matrix is equal the number of rows of the second matrix. Then, the resulting matrix would have the number of rows equal the number of rows of the first matrix, and the number of columns equal the number of columns of the second matrix.
That is, if we have a matrix A with dimensions a x b and a matrix B with dimensions c x d, to calculate the product AB we must have b = c, and the resulting product would have dimensions a x d.
Finally, if A is 4 x 2 and B is 2 x 4, we would have:
AB = (4 x 2) (2 x 4)
2 = 2 -> product is possible.
Dimensions of the result: 4 x 4
BA = (2 x 4) (4 x 2)
4 = 4 -> product is possible.
Dimensions of the result: 2 x 2
