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3 years ago

15

Bill placed a coordinate grid over a drawing of his back yard. Points A (-2, -3) and B (4, 9) represent two corners of his garde

n. He wants to place a water sprinkler (C) at the midpoint between A and B.

1 answer:

irinina [24]3 years ago

6 0

Answer:

(1;3)

Step-by-step explanation:

midpoint=(x1+x2;y1+y2)÷2

=(-2+4;-3+9)÷2

=(2;6)÷2

=(1;3)

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Please help I'm so stuck

GarryVolchara [31]

Because Line 1 is parallel to Line 2, angle "a" should also be 46 degrees. b is complementary so it would be 180-46=134(degrees).

7 0

3 years ago

During a concert, $3280 was received. A total of 760 people attended. Reserved seats were $6 and general admission seats were $4

Andre45 [30]

Answer:

The number of reserved seat is 120 and number of general seat is 640.

Step-by-step explanation:

Given,

Total number of seats = 760

Total collected Money = $3280

Solution,

Let the total number of reserved seat be x.

And the total number of general seat be y

Hence total number of seats is the sum of total number of reserved seat and the total number of general seats.

So the equation can be written as;

$x+y=760\ \ \ \ equation\ 1$

Again, total money collected is the sum of fees of one reserved seat times total number of reserved seat and fees of one general seat times the total number of general seats.

So the equation can be written as;

$6x+4y=3280\ \ \ \ \ equation\ 2$

Now, multiplying equation 1 by 4 and then subtract it from equation 2.

$4x+4y=3040$

$(6x+4y)-(4x+4y)=3280-3040\\\\2x=240\\\\x=\frac{240}{2}=120$

On substituting the value of x in equation 1, we get;

$x+y=760\\120+y=760\\y=760-120=640$

Thus the number of reserved seat is 120 and number of general seat is 640.

8 0

3 years ago

Find the inverse of the following matrix without using a calculator 1-1 2 -3 2 1 0 4 - 25

Artist 52 [7]

Answer:

18 -(17/3) (5/3)

25 (25/3) (7/3)

4 (4/3) (1/3)

Step-by-step explanation:

You can solve this problem by using the Gauss-Jordan method.

You have the original matrix and then the Identity matrix.

So:

Original Identity

1 -1 2 1 0 0

-3 2 1 0 1 0

0 4 -25 0 0 1

By the Gauss-Jordan method, in the original place you will have the identity and in the place that the identity currently is you will have the inverse matrix:

So, let's start by setting the first row element to 0 in the second and the third line.

The first row element of the third line is already at zero, so no changes there. In the second line, we need to do:

L2 = L2 + 3L1

So now we have the following matrixes.

1 -1 2 | 1 0 0

0 -1 7 | 3 1 0

0 4 -25 | 0 0 1

Now we need the element in the second line, second row to be 1. So we do:

L2 = -L2

1 -1 2 | 1 0 0

0 1 -7 | -3 -1 0

0 4 -25 | 0 0 1

Now, in the second row, we need to make the elements at the first and third line being zero. So, we have the following operations:

L1 = L1 + L2

L3 = L3 - 4L2

Now our matrixes are:

1 0 -5 | -2 -1 0

0 1 -7 | -3 -1 0

0 0 3 | 12 4 1

Now we need the element in the third line, third row being one. So we do:

L3 = -L3

1 0 -5 | -2 -1 0

0 1 -7 | -3 -1 0

0 0 1 | 4 (4/3) (1/3)

Now, in the third row, we need the elements in the first and second line being zero. So we do:

L1 = L1 + 5L3

L2 = L2 + 7L3

So we have:

1 0 0 | 18 -(17/3) (5/3)

0 1 0 | 25 (25/3) (7/3)

0 0 1 | 4 (4/3) (1/3)

So the inverse matrix is:

18 -(17/3) (5/3)

25 (25/3) (7/3)

4 (4/3) (1/3)

4 0

3 years ago

Simplify the expression. Write your answer using only positive exponents (3t^-4)

yaroslaw [1]

Answer:

$\frac{3}{t^{4}}$

Step-by-step explanation:

x^-y=1/(x^y) so 3t^-4=3/(t^4)

3 0

3 years ago

How many solutions does the nonlinear system of equations graphed below have?

Ostrovityanka [42]

Answer:

Option (A)

Step-by-step explanation:

Solution of two functions represented by the graph are the common points or point of intersection of the graphs.

From the graph attached,

Parabola and ellipse are intersecting each other at four points.

Therefore, solutions of the given non linear functions will be FOUR.

Option (A) will be the correct option.

4 0

3 years ago