Answer:
y = (-3/4)x + 7/4
Step-by-step explanation:
<em>Step 1: Define general form of equation of line</em>
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
<em>Step 2: Set up the system to solve for parameters of equation of line </em>
<em>(solve for M and b)</em>
That equation passes 2 points, which are represented in form of (x, y), (5, -2) and (-3, 4).
Substitute these values of x and y into the original equation in step 1:
-2 = 5M + b
4 = -3M + b
<em>Step 3: Solve the system of equations in step 2 for M and b</em>
Subtract 1st equation from 2nd equation:
6 = -8M
=> M = -6/8 = -3/4
Substitute M back into 1st equation:
=> -2 = 5*(-3/4) + b
=> b = -2 + 15/4
=> b = 7/4
=> The equation of the line that passes through (5, -2) and (-3, 4):
y = (-3/4)x + 7/4
Hope this helps!
:)
We know that
perimeter rectangle A=2*[5+3]-----> 16 in
let
x------> length side rectangle B
y-------> width side rectangle B
so
x=6+y-------> equation 1
16=2[x+y]------> equation 2
<span>I substitute 1 in 2
</span>16=2*[6+y+y]-------> 16=2*[6+2y]-----> 16=12+4y-----> 4y=16-12
y=4/4--------> y=1 in
x=6+1---->x=7 in
the answer is
the dimensions of rectangle B are
length side is 7 in
width side is 1 in
Answer:
5.3
Step-by-step explanation:
27.8/37 = x/7
37x = 194.6
x=5.25
x=5.3
Answer:
2 solutions
Step-by-step explanation:
Set up a system of equations. The absolute value produces two equations because one answer will be negative and the other positive.
d + 4 = -9
d + 4 = 9
So...
d = -13
d = 5
