Answer:
(0, 2)
Step-by-step explanation:
Both the lines are intersecting each other at point (0, 2)
So, the solution to the system of equations would be (0, 2)
Hope it helps you in your learning process
Answer:
Step-by-step explanation:
If P, Q and S are collinear, then the three points lies on the same straight line.
If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;
<P Q R + <R Q S = 180
Given
<R Q S =x+1
<P Q R = 3x-5
Substitute the given expression into the formula and calculate x;
3x-5+x+1 = 180
collect like terms
3x+x - 5+1 = 180
4x-4 = 180
4x = 180+4
4x = 184
divide both sides by 4
4x/4 = 184/4
x = 46°
To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.
m∠PQR = 3x-5
m∠PQR = 3(46) - 5
m∠PQR = 138 - 5
m∠PQR = 133°
Hence the measure of angle m∠PQR is 133°
Answer:
or 
Step-by-step explanation:
first use the y2-y1/x2-x1 formula then use y=mx+b after
plug in 2 for y2 and -1 for y1
plug in -5 for x2 and 5 for x1
=
2+1=3
-5-5=-10
is ur slope
_____________________
this is the y=mx+b formula *extra info ig*
i usually use the first point for this but u can use watever point u want
plug in 5 for x
plug in -1 for y
and plug -3/10 for m
-1=-3/10(5)+b
-3/10*5=-3/2
-1=-3/2+b
add -3/2 on both sides
-1+3/2=1/2
1/2=b and b is ur y-intercept
y=-3/10x+1/2
hope this helps
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
