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UNO [17]
3 years ago
9

Determine whether the polynomial is a difference of squares and if it is, factor it. y2 – 16

Mathematics
2 answers:
luda_lava [24]3 years ago
6 0
I think it’s not a different of squares because when u factor it =2(y-8)
Kryger [21]3 years ago
5 0

(y – 4)(y + 4) it is a difference this is it. I did the test just a second ago.

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2. The area of the rectangle shown is 375 square centimeters,
polet [3.4K]

Answer:

15

Step-by-step explanation:

Area is l x h. If that's the case then we need to do the oposite of multiplication to get the answer we need. Divide 375cm an 25cm to get your answer.

Original Equation:

A = l x h

New Equation:

A/l = h

8 0
3 years ago
At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
3 years ago
Solve the system by substitution<br><br> -5x+3y=2<br> y=2x
serious [3.7K]

Answer:

(x,y)=(0,0)

Step-by-step explanation:

Simplify -5x+3y=2x

2y=2x

multiply both sides -7x+3y=0

-x+y=0

eliminiate one vaiable

4 0
2 years ago
Given: AB with point C between A and B. AB = 10x + 20, AC = 2x + 13, and CB = 10x - 9.
Feliz [49]

Answer:46

Step-by-step explanation:

7 0
3 years ago
a spinner is divided into five equal sections labeled 1 to 5 what is the probability that the spinner will land on 3
Vesna [10]
Since there are 5 possible outcomes and 3 is only one of the outcomes, the probability would be 1/5 or 20%
7 0
3 years ago
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