The easiest answer I know is if you swap the
s with
s, then there will be two equations called parabolas. They open upward if the value is positive and open downward if the value is negative. If the exponent is 2, then it's a parabola. If it's 3, then it's a cubic function, because cube is for "3". Square is for "2". If you look at both parabolas, you can see that
is wider than
.
So the best answer I can think of is She made a mistake because the parabola on the 10x² graph is wider than the (5x)² graph. Also, it's because 5x and 10x are not the same thing. When an x value increases, the graph is narrower.
Answer:
y = x - 7
Step-by-step explanation:
Parallel lines have the same gradient in this case 1 is the gradient.
Using the point (8,1) we can form our own equation.
1 will be y, 1 will be m, 8 will be x
All we have to do is find C in order to form the equation <em>y</em><em>=</em><em>mx</em><em>+</em><em>c</em>
1 = 1(8) + c
1 = 8 + c
C = - 7
Therefore;
<u>y = x - 7</u>
Answer:
x=34
Step-by-step explanation:
1. formula for Pythagorean Theorem for right trangles is <u>a^2+b^2=c^2</u>
2. a=30 and b=16, so (30)^2+(16)^2=c^2
3. (30)^2=900 and (16)^2=256
4. 900+256=1156
5. 1156=c^2
6. 
7. the square root of 1156 is 34, so c=34
8. The missing side of the triangle, labeled as "x<em>"</em> is 34
Answer:
27
Step-by-step explanation:
17 - 8 = 9 people came
The number of presents brought is 3×9 = 27.
Jackie got 27 presents.
Answer:
67.5 units²
Step-by-step explanation:
We can break this problem down in two parts: The upper triangle and the lower trapezoid.
The upper triangle:
Use the formula
to compute the area of the triangle. Base = 10 and Height = 7.
1/2 (10)(7)
1/2 (70)
=35 units².
The lower trapezoid:
Use the formula
to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.
1/2 (10 + 3)(5)
1/2 (13)(5)
1/2 (65)
=32.5 units²
So, add the two areas of each shape:
35 + 32.5 = 67.5 units².