Answer:12.5
Step-by-step explanation:
Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
Answer:
Unfortunately it can't be solved.
Step-by-step explanation:
x is the all real number. which means it will have many solutions.
Answer:
x = 6.
y = 6.7.
z = 13.4.
Step-by-step explanation:
The 2 triangles contained in the biggest one are similar, so:
x/12 = 3/x
x^2 = 36
x = 6.
Applying the Pythagoras theorem:
z^2 = 6^2 + 12^2
z^2 = 36 + 144 = 180
z = 13.4.
y^2 = x^2 + 3^2
= 36 + 9
= 45
y = 6.7
Answer:
<h2>0.25 kg.</h2>
Step-by-step explanation:
2.5 kg = 10 leaning tower
here students can make 10 leaning towers.
find;
How many kilograms of spaghetti does it take to make 1 leaning tower?
solution:
<u> 2.5 kg </u>
10 leaning towers
= 0.25 kg per leaning tower
therefore,
Mrs. Robinsons can take 0.25 kg of spaghetti to make 1 leaning tower.
