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3 years ago

Geometry... Find the angles

Mathematics

1 answer:

goldenfox [79]3 years ago

4 0

The angle of x is 66

This is because 105-180=75 which gives you two measurements for the triangle on the right. Because triangles add up to 180 degrees 180-(75+39)=66

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What is the solution to this system of linear equations?

svetoff [14.1K]

It’s B
If y-x=6
Y +X =_10
then y= 6 + x, instead of y insert this no
6+ x+ x =-10
6 + 2x =-10 then collect like terms
2x =-10-6
2x=-16 then multiple both side by 1/2
X=-8
Y=6+x instead of x insert -8
Y=6-8
=-2

7 0

3 years ago

Which of the following expressions results in 0 when evaluated at x = 4?

Naily [24]

A).(x - 10) X (x - 4)
(4 - 10) X (4 - 4)
6 X 0 = 0

7 0

4 years ago

Read 2 more answers

G(x)=-4+7 rate of change

Ratling [72]

What exactly are you trying to find but I tried to do the problem and I got 3

6 0

3 years ago

Let II be the tangent plane to the graph of f(x, y) = 8 – 2x^2 – 3y^2 at the point (1, 2,-6). Let S, x² + y^2 + z = 4 be another

stealth61 [152]

Let $F(x,y,z)=f(x,y)-z$ . The tangent plane to $f(x,y)$ at (1, 2, -6) has equation

$\nabla F(1,2,-6)\cdot(x-1,y-2,z+6)=0$

We have

$\nabla F(x,y,z)=(-4x,-6y,-1)\implies\nabla F(1,2,-6)=(-4,-12,-1)$

Then the tangent plane has equation

$(-4,-12,-1)\cdot(x-1,y-2,z+6)=0\implies -4(x-1)-12(y-2)-(z+6)=0\implies 4x+12y+z=22$

Let $g(x,y)=4-x^2-y^2$ , and $G(x,y,z)=g(x,y)-z$ . The tangent plane to $S$ at a point $(a,b,c)$ is

$\nabla G(a,b,c)\cdot(x-a,y-b,z-c)=0$

We have

$\nabla G(x,y,z)=(-2x,-2y,-1)\implies \nabla G(a,b,c)=(-2a,-2b,-1)$

so that this plane has equation

$(-2a,-2b,-1)\cdot(x-a,y-b,z-c)=0\implies2ax+2by+z=2a^2+2b^2+c$

In order for this plane to be parallel to the previous plane, we need to have

$\begin{cases}2a=4\\2b=12\end{cases}\implies a=2,b=6\implies g(a,b)=c=-36$

so the point we're looking for is (2, 6, -36).

6 0

3 years ago

What is the difference of 1,289 and 943?

ololo11 [35]

1289 -
943

First last number should be subtracted.
9 - 3 = 6

The second last
8 - 4 = 4

Then first number
2-9 = ?
Since it can't be divided, we have to borrow 10 from the previous number.
12-9 = 3

So the answer is,
346

8 0

3 years ago