Answer:
No triangle can be formed with these angles.
Step-by-step explanation:
There must be 180 degrees in a triangle.
32 + 126 + 32
= 126 + 64
= 190 degrees - so this cannot form a triangle.
Answer: slope = 3/5 and y intercept is (0,-1)
Step-by-step explanation: use the slope and y intercept form y= mx + b
x=31,y=−61
Put the equations in standard form and then use matrices to solve the system of equations.
5x+4y=1,3x−6y=2
Write the equations in matrix form.
(534−6)(xy)=(12)
Left multiply the equation by the inverse matrix of (534−6).
inverse((534−6))(534−6)(xy)=inverse((534−6))(12)
The product of a matrix and its inverse is the identity matrix.
(1001)(xy)=inverse((534−6))(12)
Multiply the matrices on the left hand side of the equal sign.
(xy)=inverse((534−6))(12)
For the 2×2 matrix (acbd), the inverse matrix is (ad−bcdad−bc−cad−bc−bad−bca), so the matrix equation can be rewritten as a matrix multiplication problem.
(xy)=(5(−6)−4×3−6−5(−6)−4×33−5(−6)−4×345(−6)−4×35)(12)
Do the arithmetic.
(xy)=(71141212−425)(12)
Multiply the matrices.
(xy)=(71+212×2141−425×2)
Do the arithmetic.
(xy)=(31−61)
Extract the matrix elements x and y.
x=31,y=−61
Answer:
61
Step-by-step explanation:
let the number be x then twice the number is 2x, hence
42 + 2x = 164 ( subtract 42 from both sides of the equation )
2x = 122 ( divide both sides by 2 )
x = 61
Hence the number is 61
Answer:
32.5
Step-by-step explanation:
there are 4 rows
1 = 3
2 = 5
3 = 2
so there is 10 numbers
We go for the middle number which is 2-3 so the answer must be 32.5.
We know it is between 2-3 as the same as 1-10
1,2,3,4,5, ------ 6,7,8,9,10
So the imput numbers are listed 2 + 3 in your stem diagram where so 5 + 6 would be in the explanation. As 10 +1 = 11 then 11/2 = 5.5 - this means 5.5 = 32.5 as 33 would be the 6.
