Answer:
y=5/3 is the only real solution
Step-by-step explanation:
Solve for y over the real numbers:
11 y^2 - 19 y - 10 = -4 y^2
Add 4 y^2 to both sides:
15 y^2 - 19 y - 10 = 0
The left hand side factors into a product with two terms:
(3 y - 5) (5 y + 2) = 0
Split into two equations:
3 y - 5 = 0 or 5 y + 2 = 0
Add 5 to both sides:
3 y = 5 or 5 y + 2 = 0
Divide both sides by 3:
y = 5/3 or 5 y + 2 = 0
Subtract 2 from both sides:
y = 5/3 or 5 y = -2
Divide both sides by 5:
Answer: |
| y = 5/3 or y = -2/5
Answer:
True.
Step-by-step explanation:
It is because it is in the form
and this equals
.
Why it is in that form: well comparing
, we have
. Testing, plug in those values:
![(1)^2x^2+2(1)(1)x+(1)^2](https://tex.z-dn.net/?f=%281%29%5E2x%5E2%2B2%281%29%281%29x%2B%281%29%5E2)
![1x^2+2x+1](https://tex.z-dn.net/?f=1x%5E2%2B2x%2B1)
.
This has the squared form of
.
Test if you like:
![(x+1)^2](https://tex.z-dn.net/?f=%28x%2B1%29%5E2)
![(x+1)(x+1)](https://tex.z-dn.net/?f=%28x%2B1%29%28x%2B1%29)
Use foil to expand:
First: x(x)=x^2
Outer: x(1)=x
Inner: 1(x)=x
Last: 1(1)=1
---------------Add together
![x^2+2x+1](https://tex.z-dn.net/?f=x%5E2%2B2x%2B1)
It does indeed equal.
Answer: 3 days
Step-by-step explanation: It would take 3 days for seven hens to 7 lay eggs because each hen lays an egg each day.
1 hen/1 egg = 3 days
7 hens/7 days = 14 eggs
7 hens/3 days = 7 eggs
Answer:
l=26
w=20
Step-by-step explanation:
l-6=w
2l+2w=92
2l+2(l-6)=92
2l+2l-12=92
4l=104
l=26
(26)-6=w
w=20
Hello!
Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.
I can see here that this can be divided into a triangle and a rectangle using a horizontal line.
The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.
This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
![6^2+7^2=c^2](https://tex.z-dn.net/?f=6%5E2%2B7%5E2%3Dc%5E2)
![36+49=c^2](https://tex.z-dn.net/?f=36%2B49%3Dc%5E2)
![c^2=85](https://tex.z-dn.net/?f=c%5E2%3D85)
![c=\sqrt{85}](https://tex.z-dn.net/?f=c%3D%5Csqrt%7B85%7D)
Which is in simplest radical form.
Hope this helps!