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4 years ago

X + 5y – z = 0 2x – y + 3z = -1 y = 1

Mathematics

1 answer:

Marina86 [1]4 years ago

8 0

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( − 3 , 1 , 2 )

Equation Form:

x = − 3 , y = 1 , z = 2

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What is the area of this composite shape?

ankoles [38]

Answer:

A. 132 units²

Step-by-step explanation:

The figure has already been broken into chunks, so there is no need to break it up any further.

I'll start with the top left triangle,

Formula for finding the area of triangles: (H x B) / 2

Following this formula, we take the height, 4, and multiply it by the base, 6.

4 x 6 = 24.

Now, we divide the product by 2:

24 / 2 = 12.

We now have the area for the triangle, it is time to move onto the second.

To find the height of the larger triangle, we add 4 and 4 together, giving us 8. To find the base, we subtract 6 from 15, giving us 9.

Now we multiply 8 and 9 together, then divide by 2

8 x 9 = 72

72 / 2 = 36

Now that we've found the area for both triangles, it is time to find the area of the rectangles.

Formula for finding the area of quadrilaterals such as rectangles and squares: L x W

I'll start with the smaller rectangle underneath the top left triangle:

6 x 4 = 24

Now, I'll move onto the bottom rectangle:

15 x 4 = 60

We have the areas of all the shapes in this figure, all we have left to do is to add them together:

60 + 24 + 36 + 12 = 132 units²

132 units² will be your answer.

<h2>I hope this helps!</h2>

6 0

4 years ago

5a. For each quantity, decide whether circumference or area would be

kirill [66]

May be able to get the most from the first time since I've been using this method for producing an excellent job and the other hand, the first thing I noticed.

4 0

3 years ago

Which point should be removed for the graph to represent a table of equivalent ratios?

vodomira [7]

<h3>Answer: D. (5,15)</h3>

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Explanation:

As the graph shows, three of the four points are on the same line. That line being y = 5x. This line has slope 5 and y intercept 0.

The point not fitting this pattern is the point (5,15), so that is the final answer.

For the other three points, note that the jump from x to y coordinate is "times 5". For example, y = 5x = 5*2 = 10 for point A. In contrast, point D has a jump of "times 3" when going from x to y.

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Alternatively, you can divide each y coordinate by its corresponding x coordinate.

For choice A, we have y/x = 10/2 = 5
Choice B has y/x = 15/3 = 5
Choice C has y/x = 20/4 = 5

All results are 5 so far. Choice D doesn't follow the trend and instead has y/x = 15/5 = 3. This is another way to show that choice D is the answer.

5 0

3 years ago

Suzy randomly picks marbles form a bag containing 13 identical marbles. how many possible outcomes are there of she selects 10 m

allsm [11]

Answer:

286 possible outcomes.

Step-by-step explanation:

We have been given total 13 identical marbles

We need to select 10 out of 13

We will use combination:

$^nC_r=\frac{n!}{r!(n-r)!}$

here,n=13 and r=10 on substituting the values in the formula we get:

$^13C_{10}=\frac{13!}{10!(13-10)!}$

$^13C_{10}=\frac{13\cdot 12\cdot 11\cdot10!}{10!\cdot 3!}$

$\Rightarrow ^13C_{10}=\frac{13\cdot12\cdot11}{3\cdot2\cdot1}$

$\Rightarrow 286$

So, there are 286 possible outcomes.

5 0

3 years ago

Read 2 more answers

HELP PLSSS The The coordinates of ' R is

V125BC [204]

Answer:

The coordinate r is the length of the line segment from the point (x,y) to the origin and the coordinate θ is the angle between the line segment and the positive x-axis.

Step-by-step explanation:

4 0

3 years ago