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lara31 [8.8K]
3 years ago
9

The table below shows two equations

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0
In order to show work, I did it on paper since it is too difficult to type out.  Let me know if you have any questions.


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Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3). 9 square units 18 square
Kruka [31]

9514 1404 393

Answer:

  18 square units

Step-by-step explanation:

Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...

  AB = 6√2

  CD =3√2

The area is half the product of the base (AB) and height (CD) so is ...

  A = 1/2bh = (1/2)(6√2)(3√2) = 18

The area of ΔABC is 18 square units.

_____

<em>Additional comment</em>

It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...

  c² = a² +b²

  c = 1² +1² = 2

  c = √2

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3 years ago
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Which description of the graph of y=110x is most accurate?
hodyreva [135]

Answer:

The correct option is;

The graph is a line that rises steeply from left to right and passes through the origin

Step-by-step explanation:

The given equation is y = 110·x

Comparing the given equation to the general equation of a straight line, y = m·x + c

Where;

m = The slope of the straight line graph

c = The y-intercept

We have;

The slope of the given equation, y = 110·x = 110

The y-intercept, which is given by the constant c in the given equation = (0, 0)

Therefore, by the slope of the equation, for each unit increase in x, y increases by 110, therefore, the graph is a straight line that rises steeply and passes through the origin

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3 years ago
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Answer: he have saved $500? ... the question. Does your answer make sense? ... Solve the following problems and show all your work. (Remember to use the 5 steps for solving two-step equation word problems!) | 1. ... Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints.

Step-by-step explanation:

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3 years ago
Simplify ((4x^3)^3 x (4x)^2)^5​
polet [3.4K]

Answer: simplify ((4x^3)^3 x (4x)^2)^5​ = 1125899906842620

Step-by-step explanation: Simplify the expression.

1125899906842620

x

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3 years ago
Write an equation in slope-intercept form of the line that passes through the point (1,-2) and is parallel to the
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Y=9x that’s the answer byeee
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