Answer:
Slope: 5
X Intercept: (8.2,0)
Y Intercept: (0, -41)
Step-by-step explanation:
Slope:
y2-y1/x2-x1=9-(-6)/10-7=9+6/10-7=15/3=5
y=5x-41 - the slope intercept form
X Intercept:
<em>if y=0</em>
0=5x-41
+41 +41
41=5x
8.2=x
(8.2,0)
Y Intercept:
<em>if x=0</em>
y=-41
(0,-41)
hope this helps
brainliest?
Answer:
It must push 40 lbs of force to open the valve.
Step-by-step explanation:
The momentum at one end of the pivot must be equal to the momentum at the other end. Assuming the 60 lbs of force (F1) is applied at 2 inches from the pivot (d1) and the upward force (F2) is applied at 3 inches from the pivot (d2), then:
F1*d1 = F2*d2
Solving for F2 we get:
F2 = F1*d1/d2
F2 = 60*2/3 = 40 lbs of force
plz mark me as brainliest :)
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
It is a positive 2. Hope this Helps.
Replace x with 3 and solve:
10 x 5^3
Simplify:
10 x 125 = 1250
Answer: y = 1250
