Answer:
8/5
Step-by-step explanation:
Slope of the line = (-1-4)/(2-0)= -5/2
Equation of the line :
=> y - y1 = m(x - x1)
=> y - 0 = (-5/2)(x - 4)
=> 2(y - 0) = - 5x + 20
=> 2y + 5x = 20
To make the RHS 16, divide both sides by 20 and multiply by 16:
=> (2y/20)*16 + (5x/20)*16 = (20/20)*16
=> 8y/5 + 4x = 16
compare the equation with ax + by = 16 for y, b = 8/5
Answer:
(3*8)-6
Step-by-step explanation:
3 packs times 8 because 8 in each pack minus six because she gave away six of them. No equal sign because its an expression
Hope this helps!
Answer:
<h2>48 600 yd²</h2>
Step-by-step explanation:
If a shape is scaled by a certain scale factor then :
<u><em>the area of the new shape</em></u> = (<em>the scale factor</em>) times (<em>the area of the original object</em>)
………………………
the new recreation complex was created by enlarging the old community soccer field by a scale factor of 9
Then
The area of the new recreation complex = 9² × 600 = 81×600 = 48 600 yd²
Answer:
22 cm
Step-by-step explanation:
the perimeter = AB+BG+GF+FE+ED+DC+CA
= 65 cm
7+7+7+FE+7+DC+7=65 => FE = CD
35+ 2FE = 65
2FE = 65-35
= 30
FE = 30/2 = 15
so, GE = GF + FE
= 7+15 = 22 cm
The vertex form is
![y = a {(x - h)}^{2} + k](https://tex.z-dn.net/?f=y%20%3D%20a%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20k)
where a is the coefficient, and (h,k) is the vertex. Looking at the graph, we see that the vertex is (-2,2), so h is -2 and k is 2. We see that the parabola opens upwards, so A is positive, and is stretched by a factor of 3. (We can find this by looking where the (1,1) should be. We go over 1 from the parabola, and see where the y coordinate is. This is at (-1,5), or 1 unit right and 3 units up.) Therefore, our a is 3. Plugging this into the vertex form:
![y = 3 {(x + 2)}^{2} + 2](https://tex.z-dn.net/?f=y%20%3D%203%20%7B%28x%20%2B%202%29%7D%5E%7B2%7D%20%20%2B%202)
Which is answer A