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MArishka [77]
3 years ago
13

Alvin’s first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by –3

. Which linear combination of Alvin’s system of equations reveals the number of solutions to the system?
9x + 4y = 36

6x + 2.5y = 24

Infinite solutions: 0x – 0y = 0
No solutions: 0x + 15.5y = 144
One solution: 0x + 0.5y = 0
Two solutions: 0x – 0.5y = 60
Mathematics
2 answers:
Ksivusya [100]3 years ago
4 0

Answer:

One solution: 0x + 0.5y = 0

Step-by-step explanation:

9x + 4y = 36

6x + 2.5y = 24

2 * Eq. 1

18x + 8y = 72

-3 * Eq. 2

-18x - 7.5y = -72

Add the multiples of the equations.

0x + 0.5y = 0

Answer: One solution: 0x + 0.5y = 0

navik [9.2K]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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Find the distance between points A(2,3) and B(5,9) round to the nearest tenth
olya-2409 [2.1K]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:


\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}


"d" represents the distance and coordinates are expressed as follows: (x, y)


Let's go to the calculations.


\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}\\\\ \mathsf{d=\sqrt{(5-2)^2+(9-3)^2}}\\\\ \mathsf{d=\sqrt{(3)^2+(6)^2}}\\\\ \mathsf{d=\sqrt{9+36}}\\\\ \mathsf{d=\sqrt{45}}\\\\ \mathsf{d=6.7082039324993690892275210061938...}\\\\ \underline{\mathsf{d\approxeq6.7}}



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3 years ago
Owen measured a line to be 17.9 inches long. If the actual length of the line is 17.8 inches, then what was the percent error of
gulaghasi [49]

Answer:

0.6 %

Step-by-step explanation:

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5 0
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Figure A and Figure B are similar with a ratio of similarity of 1/8, and the area of figure A is 13 units, what is the area of f
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Answer:

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Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. This means that if a rectangle has sides 3 by 4 its area will be 12. But its image after being dilated by 2 is 6 by 8 or twice the side. Will the area also be twice the size? The area of the image is 6*8 = 48. This is 4 times bigger than 12. Not twice as big. So the similarity of the area is the scale factor squared.

So if figure A has area 13 units. And they have a ratio or scale factor of 1/8 then the area sclae factor will be 1/8*1/8 = 1/64.

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A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?
Vilka [71]

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

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since we know a and b are the same length (sides of a square are congruent) we would have

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