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2 years ago

Which statement describes the solution(s) to the system of equations 2 x − 3 y = − 10 and − 6 x + 9 y = − 10 ?

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

3 0

X = 3/2 or 1 1/2

Both of the equations equal -10, therefor the equations are equal.

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Ivory created a scaled copy of rectangle A.

9966 [12]

The scale factor that Ivory used to create their scaled copy is;

Scale is 1 interval on graph represents 4 units of the rectangle. This is 1:4 ratio.

From the given image, we can see that the y-axis of the rectangle has 3 intervals while the x-axis has 1 intervals

Now, from the image, we are told that the area of the scaled copy is 48 square units.

What this means is that the area of the triangle she is trying to represent with that graph is 48 square units.

Now, if one interval of the graph is x-units, then it means;

length; y-axis = 3x units

width; x-axis = x units

Area of a rectangle is given by;

Area = Length × width

Thus;

3x * x = 48

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

Thus, 1 interval on the graph represents 4 units of the rectangle.

Read more at; brainly.com/question/17182684

8 0

1 year ago

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

$(x-h)^2+(y-k)^2=r^2$

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago

Solve the proportion 4/k+3=8/14

MatroZZZ [7]

Cross multiply to get 8k+24=56 then solve for k so subtract 24 from each side to get 8k=32 so k=4

7 0

3 years ago

Read 2 more answers

1. Which of the following are sets? Justify your answer.

viktelen [127]

Answer: B,C,D,E,G

Step-by-step explanation:

5 0

3 years ago

Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence th

BartSMP [9]

Answer:

C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Step-by-step explanation:

The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Reason -

Option A is incorrect because the statistics can not be incorrect.

Option B is incorrect because they are not talking about the city.

Option C is correct because Urban rail reduces congestion.

Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.

Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.

5 0

2 years ago