First subtract 4 from both sides
then simplify
add -5 to both sides
since a variable shouldn't be negative the answer should be
(I prefer having the variable on the left side)
5a+b = 5(6)+3 =3
10-r+5 = 10-(9)+5 =6
Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.
And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.
These relations between the solutions give us a brief idea of what the solutions should be like.
Answer:
1:
<A=½(arcJL)=½(70+120)=35+60=95°
[inscribed angle is half of central angle]
2:
<W=½arcVX=½(130)=65°
[inscribed angle is half of central angle]
3.
<E=½(arcDC)=½(90)=45°
[inscribed angle is half of central angle]
4.
<R=½(arcXZ)=½(110+62)=86°
[inscribed angle is half of central angle]
5.
<B=½(arc DC)=½×104°=52°
[inscribed angle is half of central angle]
6.
<K=90°
[inscribed angle in a diameter is complementary]
<K+<J+<L=180°(sum of interior angle of a triangle]
<L=180°-90°-53°=37°
again
arc JK=2×<L=2×37=74°
Answer:
y = -4x - 32
Step-by-step explanation:
First, find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(8 - 4) / (-10 + 9)
4 / -1
= -4
So, the slope is -4. Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
4 = -4(-9) + b
4 = 36 + b
-32 = b
Then, plug in the slope and y intercept into y = mx + b
y = -4x - 32 is the equation of the line
