Answer:
the no of puppets that could be made with his string is 21
Step-by-step explanation:
Given that
There is 7 yards
And, it needs one -third of string for each of his puppets
= 7 × 3
= 21 puppets
We simply multiply the 7 yards with the 3 so that the no of puppets could come
hence, the no of puppets that could be made with his string is 21
Answer:
y = 3(x+1)^2 - 4
Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:
y - k = a(x-h)^2, or
y = a(x-h)^2 - k
Substituting the coefficients of the vertex (-1, -4), we get:
y = a(x + 1)^2 - 4
Substituting the coordinates of the given point, (1,8), we get:
8 = a(1+1)^2 - 4, which simplifies to:
8 = a(2)^2 - 4, or
8 = 4a - 4. Then 4a = 12, and a = 3.
Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).
Answer:
y = -4x + 2
Step-by-step explanation:
y = mx + b ( slope-intercept)
1. Find Slope:

Lets name 2 as y2 and 10 as y1. And 0 as x2 and 2 as x1.
=
= -4
m/slope = -4
2. Find y-intercept:

2 = -4(0) + b
= 2 = b
Y-intercept/b = 2
3. Put into slope-intercept form:
y = mx + b
= y = -4x + 2
Hope that helps! :D
Answer:
It's correct!
Step-by-step explanation:
This is an equilateral triangle because all the angles are the same. This means the sides will be the same as well.
2x + 33 = 9.
Minus both sides by 33.
2x = -24
Then, divide both sides by 2.
x = -12