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Misha Larkins [42]
3 years ago
8

What could be the intersection of plane PRS and plane QRS?

Mathematics
1 answer:
Mariana [72]3 years ago
8 0

Answer:

The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS

Step-by-step explanation:

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Solve the following system of equation 5x-y=-4<br> -3x+2y=-6
Delicious77 [7]
X = -2 and y = -6. your welcome :)
8 0
3 years ago
Is 7b + 3 - b a polynomial?
Gemiola [76]

Answer:

yes!

Step-by-step explanation:

when we simplify this we will get 6b+3, which is a binomial so yes it is a polynomial!

hope this helps

5 0
3 years ago
Diagram below shows the curve of a quadratic function
uranmaximum [27]

Answer:

q = -8, k = 2.

r = -6.

Step-by-step explanation:

f(x) = (x - p)^2 + q

This is the vertex form of a quadratic where the vertex is at the point (p, q).

Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.

The value of p is the midpoint of  -6 and 2 which is (-6+2) / 2 = -2.

So we have:

f(x) = 1/2(x - -2)^2 + q

f(x) = 1/2(x + 2)^2 + q

Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:

0 = 1/2(2 + 2)^2 + q

0 = 1/2*16 + q

0 = 8 + q

q = -8.

Now convert this to standard form to find k:

f(x) = 1/2(x + 2)^2 - 8

f(x) = 1/2(x^2 + 4x + 4) - 8

f(x) = 1/2x^2 + 2x + 2 - 8

f(x) = 1/2x^2 + 2x - 6

So k = 2.

The  r  is the y coordinate when x = 0.

so r = 1/2(0+2)^2 - 8

=  -6.

3 0
3 years ago
The equatorial radius of Mars is 3,394 km. Which of the following would be a reasonable estimate for the equatorial radius of Ma
Ivan

Answer:

I don't know that options but......

if we are rounding to the thousands, then the answer would be 3,000

if hundreds, the answer is 3,400

if tens: 3,390

If ones: 3,390

Step-by-step explanation:

round each number up or down based upon what the digit is.

5 0
4 years ago
Read 2 more answers
Plz answer this question:
d1i1m1o1n [39]

Yes, Lord Vader !

                                               2/3 x + 5   = 1/2

Multiply each side by  2 :       4/3 x + 10  =  1

Multiply each side by  3 :         4  x + 30  =  3  <== equivalent equation
                                                                                without fractions
 
Subtract  30  from each side:  4x             =  -27

Divide each side by  4 :            x              =  -27/4  =  -6.75 

6 0
3 years ago
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