1. simplify 11/5
- 58/10 - 11/5 =0
2. Divide z by 11/5
- 58/10 - 5z/11 =0
3. simplify 29/5
29/5 - 5z/11 =0
4. calculating the least common multiple
4.1 find the least common multiple
the left denominator is: 5
the right deniminator is: 11
least common multiple:55
....
solution z=319/25 = 12.760
Answer:
Step-by-step explanation:
x^2 + 8x +15 is the area
x+5 is the length
x+3 is the width
(x+5)(x+3)=
x^2 + 3x +5x +15
x^2 +8x + 15
We have that
y = -5/8 x²- 3x + 4----> multiply by 8----> 8y=-5x²-24x+32
8y-32=-5x²-24x
Factor the leading coefficient
8y-32=-5*(x²+4.8x)
Complete the square Remember to balance the equation
by adding the same constants to each side.
8y-32=-5*(x²+4.8x+5.76-5.76)
8y-32-28.8=-5*(x²+4.8x+5.76)
8y-60.8=-5*(x+2.4)²
8*(y-7.6)=-5*(x+2.4)²
-(8/5)*(y-7.6)=(x+2.4)²
-(1.6)*(y-7.6)=(x+2.4)²
is a vertical parabola-----> open down
The standard form is (x - h)²<span> = 4p (y - k)
</span>
the vertex is the point (-2.4,7.6)
4p=-1.6
p=-1.6/4----> p=-0.40
<span>the directrix is
y= k - p-------> 7.6-(-0.40)----> y=7.6+0.40----> y=8
</span>
the answer isy=8
Hey there! I'm happy to help!
A mixed number is a whole number and a fraction. We already see that our whole number is 7.
Our decimal is 0.13. Since this goes into the hundredths place, we can rewrite this as 13/100. This cannot be simplified anymore.
Therefore, 7.13 is 7 13/100 in lowest terms.
Have a wonderful day! :D
First calm down listen to the steps
1. Since there are 4 triangle so you will need to find the area and the formula is base(height)1/2 but you should probably check the formula just to make sure
2.Then you will find the area of the square which is length times width
3.Add all 5 areas together and the answer should be labeled in squared
hope that helped