Well first, we have to find the y intercept. So plug in your coordinates.
-2 = 4 (3) + b
Simplify
-2 = 12 + b
now, let's put like terms together.
-14 = b
b= -14
Hope I could help!
Use point slope form
y - y1 = m(x - x1)
where:-
m = slope of 2x - y = 8 which is 2, x1 = 5 and y1 = 5:-
y - 5 = 2(x - 5)
y - 5 - 2x = -10
y - 2x = -5 <----- Answer
Answer:
Jonah formed a straight angle.
Step-by-step explanation:
- Acute angle is an angle less than 90 degrees.
- Obtuse angle is an angle greater than 90 but less than 180 degrees.
- Reflex angle is greater than 180
- Straight angle is equal to 180.
We know 3 angles of a triangle (no matter scalene, isosceles, right, equilateral triangle) sum up to 180 degrees. So, if Jonah were to cut of the 3 angles and put them points together, no overlap, he would eventually have a 180 degree angle, or a straight angle.
Jonah formed a straight angle.
The coefficient of y is 8, which is 4p, so p=2. That is the distance the directrix is below the vertex. The directrix is below the vertex because the parabola opens upward.
The vertex can be found by completing the square.
x^2 +16x +64 = 8y -16 +64
(1/8)(x +8)^2 -6 = y +6
The vertex is (-8, -6), so the directrix is ...
y = -8
Answer:
x = 2 or x = 3
Step-by-step explanation:
we have the expression:
First we must remove the square root, for this we pass the 2 to the left:
and we move the square root to the left as an exponent of two:
We develop the square binomial:
and clear the right side for the equation to be equal to zero:
combining like terms:
Because it is a quadratic equation we will have two answers, which we can find by the general formula or by factoring:
To factor we open two parenthesis, both with an x, and look for two numbers that when multiplied result in +6 and when added result in -5, those numbers are -2 and -3, so the factoring is:
And now we use the Zero Product Property, whic is if two thing are multiplied and result in zero one of the two or both things must zero, in this case:
and
the solutions are: x = 2 or x = 3; both satisfy the equation.
