Answer:
-3+2sqrt7
-3-2sqrt7
Step-by-step explanation:
x^2+6x-9=10
x^2+6x-9-10=0
x^2+6x-19=0
ax^2+bx+c=0
a=1 b=6 c=-19
As cannot be solved by completing square we will use quadratic equation
x= (-b+sqrt(b^2-4ac))/2a and x= (-b-sqrt(b^2-4ac))/2a
x= (-6+sqrt(6^2-4*-19))/2 and x= (-6-sqrt(6^2-4*-19))/2
x=(-6+sqrt(36+76))/2 and x=(-6-sqrt(36+76))/2
x=(-6+4sqrt7)/2 and x=(-6-4sqrt7)/2
x=(-3+2sqrt7) and x=(-3-2sqrt7)
x=2.29 and x= -8.29
Answer:
k = 4
Step-by-step explanation:
3k - 2 = 10
3k - 2 + 2 = 10 + 2 (adding 2 to both sides)
3k = 12
3k/3 = 12/3 (dividing both sides by 3)
k = 4
Happy to help :)
Answer: y=7
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
rearrange to point slope form first
slope can be fine by y2-y1/x2-x1 (im using the first 2 points)
so 13-25 = -12 and -54-(-72) = 18, and the slope is -12/18 which is -2/3
then you can use any point (i used the first point) to create the point slope form which is y-ypoint=slope(x-xpoint) and equation would be y-25=-2/3(x+72)
turn it into slope intercept form by multiplying -2/3 within the equation and adding -25 on both sides
you will get y= -2/3x-23
and the y intercept will be (0, -23)
It’s on open dot because it doesn’t include the 4 and it shades all the numbers greater then 4 (so it goes to the right).