To solve this problem you must apply the proccedure shown below:
1. You have that the <span>parabola is 12 meters high at the vertex and at a height of 10 meters, the width is 8 meter.
2. Therefore, you have:
x^2=-4a(y^2-k)
4</span>^2=-4a(10-12)
16=-40a+48
16=8a
a=16/8
a=2
y=0
x^2=-8(0-12)
x^2=96
x=√96
x=9.79x2
x=19.58
3. Therefore, as you can see, the answer is: 19.58 meters.<span>
</span>
Answer: 92 and 93
Step-by-step explanation:
The two consecutive integers will be written thus
= x + (x + 1)
The sum. x + (x+ 1).= 185'
x + x + 1 = 185
2x + 1 = 185
2x = 185 - 1
2x = 184
x = 184/2
= 92.
Therefore, the Integers are 92 and 93.
Answer:
7.5 gallons
Step-by-step explanation:
3 x 250/100
= 7.5
Answer:
Step-by-step explanation:
Let's take one of the equations and solve for x. I'll take the first one.
Divide by 13.
Now replace x in the second equation.
Distribute -8
Break down the fraction.
Subtract 
Subtract 6y
Combine like terms;
Solve;
Keep solving;
Multiply by the negative reciprocal of the fraction next to y.
On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10
After having found y, replace it in any of the equations to find x.
Answer:
1) 34º
2) 52º
3) 56º
4) 94º
Step-by-step explanation:
let 3 be x
let 1 be y
let 2 be z
let 4 be j
180=86+38+x 56=x
90=56+y 34=y
180=86+j 94=j
180=34+z+94 52=z
