Answer:
a = - 
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 ) = (105, 27 ) , thus
y = a(x - 105)² + 27
To find a substitute (109, 14 ) into the equation
14 = a(109 - 105)² + 27 ( subtract 27 from both sides )
- 13 = 16a ( divide both sides by 16 )
a = -
9514 1404 393
Answer:
Sam is 24; his mom is 48.
Step-by-step explanation:
We can let x and y represent Sam's age and his mom's age, respectively.
y = 2x . . . . . Mom is twice Sam's age
y -12 = x + 12 . . . . Mom's age 12 years ago is the same as Sam's age 12 years from now
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Substituting for y in the second equation, we have ...
2x -12 = x + 12
x = 24 . . . . . . . . . add 12-x to both sides
y = 2(24) = 48
Sam is 24; his mom is 48.
Step-by-step explanation:
in step 2 leon made mistake
1) 180°. All the interior angles in a triangle ALWAYS add to 180°.
2) x = 60°. As stated in 1), all angles in a traingle add to 180° so knowing this, x = 180 - 70 - 50 = 60°.
3) <A = 90, <B = 60, <C = 30. Knowing that all angles in a traingle add to 180, we can make an equation. 6x + 4x + 2x = 180 or 12x = 180. This means x is 15°. Now we just need to multiply it. 6x = 90, 4x = 60 and 2x = 30.
If the question is to find the slope-intercept form of both lines, here's the answer:
Both lines pass through the point (-3,-4), so we can use these coordinates in both equations. The slope-intercept form is represented by y=mx+b, with m the slope, b the intersection of the line with Y'Y for x=0, y and x the coordinates of a point.
Let's first apply all these for the first line, with a slope of 4.
y = mx + b
y=-3; x=-4; m=4. All we need to do is find b.
-3 = 4(-4) + b
-3 = -16 + b
b=13
So the equation of the first line is y= 4x + 13.
Now, we'll do the same thing but for the second line:
y=-3; x=-4; m=-1/4, and we need to find b.
-3 = (-1/4)(-4) + b
-3 = 1 + b
b= -4
So the equation of the second line is y=(-1/4)x - 4
Hope this Helps! :)
