Answer:
x=3, 8
Step-by-step explanation:
x²-11x+24=0 can be factored to
(x-3)(x-8)=0
3-3=0
8-8=0
So, x can be 3, 8
Answer:
y= -1/2x-4
Step-by-step explanation:
By standard form, I'm assuming you mean slope-intercept form, which is y=mx+b. First, we need to find m, or the slope. To do this, we need to plug it into this equation: m= y2-y1/x2-x1. We can rewrite this with our two points, so we make it into m= -5+3/2+2. I did plus signs because if you subtract a negative number from a number, it has the same effect as addition does. Now, we have m= -2/4, which we can simplify to -1/2. Now, we have y=-1/2x+?. Now, let's plug in the numbers in slope-intercept form. I'll choose the ordered pair (-2, -3) for this example. Now that I've plugged the numbers in y=mx+b form (slope-intercept form), we have -3=(-1/2⋅-2)+b. Now, we solve it. First, we do the problem in the parenthesis, from that, we get 1. Now, we have -3=1+b, let's subtract 1 from both sides. Now, we have -4=b. That means our y-intercept is -4. Let's plug this back in the equation. We get y=-1/2x-4. I hope this helps!
Answer:
83.4
Step-by-step explanation:
Area of a Regular Polygon: L (of side) times apothem (height) x 1/2
L : 13.9
Looking at the triangle we can assume the height would be 12 since its logical that 3 of the 4 lines can fit in the middle of the triangle.
H: 12
13.9 x 12 = 166.8
166.8/2 = 83.4
Answer:
4a^2-6b^2+12
Step-by-step explanation:
(a^2 - 2b^2 + 3) - (4b^2 - 5) + (3a^2 + 4)
distribute the negative sign to each term in the 2nd expression
a^2-2b^2+3-4b^2+5+3a^2+4
combine like terms
4a^2-6b^2+12
Answer:
-24
Step-by-step explanation:
(-6)(4)
The indicated operation is multiplication
-24
