The value of x and y in the given equation is determined -1 and -2 respectively.
<h3>
Value of x and y</h3>
The value of x and y can be determined by solving the two equations simultaneously.
y = -2x - 4 ----- (1)
y = 4x + 2 ----- (2)
solve (1) and (2) together
-2x - 4 = 4x + 2
-6x = 6
x = -1
y = 4(-1) + 2
y = -4 + 2
y = -2
Learn more about equations here: brainly.com/question/2972832
#SPJ1
Answer:
D
Step-by-step explanation:
Using the Distributive properties.
that one is the simplified one and the regular problem.
Step-by-step explanation:
The slope of the equation tangent to y = f(x) at x = 4 is equal to f'(4). Therefore,
We also know that the line passes through the tangent point at (4, -1) so we can write the slope-intercept form of the equation as
or
so our equation is
or in standard form,
Since, PS and QR are parallel, we know that <QRP is equal to <RPS. Therefore, we can solve for y by setting the two equations equal to each other.
5y+14=8y-13
<em>*Subtract 5y from both sides to isolate the variable*</em>
14=3y-13
<em>*Add 13 to both sides*</em>
27=3y
<em>*Divide both sides by 3*</em>
9=y
Now, plug in 9 for y in the equation 8y-13 to find the measure of that angle.
8(9)-13
<RPS=59
Now, the sum of the angles in any triangle is equal to 180 degrees. We can use this knowledge to set up an equation to solve for x.
3x+2x+1+59=180
<em>*Combine like terms*</em>
5x+60=180
<em>*Subtract 60 from both sides*</em>
5x=120
<em>*Divide both sides by 5*</em>
x=24
Now, we can find <RSP by pluggin 24 in for x.
2(24)+1
48+1
<RSP=49 degrees
Hope this helps!!
Answer:131.78
Step-by-step explanation:
