Answer:
6^2, 3^4, 5^3, and 2^9
Step-by-step explanation:
6^2= 36
3^4= 81
5^3= 125
2^9= 512
Nothing on the rectangle is shaded, unless the camera quality is poor.
0/12
Answer:
m(u) = -0.25(u +2)² +1 or -0.25u² -u
Step-by-step explanation:
The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.
The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.
Our equation will be of the form ...
m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)
For this graph, the equation is ...
m(u) = -0.25(u +2)² +1
or, simplifying, we get ...
m(u) = -0.25u² -u
When Peter does this, he is creating two sides of a right-angle triangle. The distance from his house to that point will be the hypotenuse of the triangle thus, to work out the length of the hypotenuse, we have to use Pythagoras Theorem! So:
a² + b² = c²
15² + 15² = c²
225 + 225 = c²
450 = c²
15√2 = c
21.21320344 = c
So, this rounded to the nearest tenth would be:
21.2 meters !
y=−3x+9 slope of this equation is -3 and y-intercept is 9
Plot the y -intercept first which is 9 and mark the points using the slope which is -3. Join the points. So blue line in the graph is y = -3x+9
y=−x−5 slope of this equation is -1 and y intercept is -5
Plot the y -intercept first which is -5 and mark the points using the slope which is -1 . Join the points. So pink line in the graph is y = -x-5
The intersection point of these two lines gives you the solution.
The coordinates of point of intersection (7,-12)
