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3 years ago

The vertices of a triangle are A(0, 0), B(3, 8), and C(9, 0). What is the area of this triangle?

2 answers:

8 0

Answer: 36 units squared.

Explanation:
Area of a traingle is given by,

| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |

Accepting the values of the coordinates in x's and y's,

x1 =0, y1=0

x2=3, y2=8

x3 =9, y3=0

= | 0.5 × (-72)|
= 36 unit squared.

schepotkina [342]3 years ago

7 0

Answer:

Step-by-step explanation:

(formula for area for coordinates geometry is applied)

1/2|( put in the coordinates tht they give u) |

1/2|-72|

1/2 (72)

=36

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What is the slope of this line?

professor190 [17]

y=2/3x-3

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3 years ago

Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2

butalik [34]

To solve this question, we use the factor theorem, and using it, the polynomial function is:

$f(x) = x^3 - 2x^2 - 3x + 6$

------------------------------

The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: $f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0$

------------------------------

Function 1:

$f(x) = x^3 - 2x^2 - 3x + 6$

Testing the values:

$f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0$

$f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0$

$f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0$

Thus, since all three conditions are satisfied, $f(x) = x^3 - 2x^2 - 3x + 6$ is the polynomial function.

A similar question is given at brainly.com/question/11378552

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2 years ago

Gary's car travel 30 miles on 1 1/5 gallon of gas. Gary wants to travel 90 miles. How many gallons of gas will his car use?

3241004551 [841]

Gary car will use 18 miles/gallons

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2 years ago

|2x + 5| = 13 please show work

gtnhenbr [62]

Answer:

x=4

Step-by-step explanation:

|2x + 5| = 13

-5 -5

|2x| = 8

2x/2 8/2

|x| = 4

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2 years ago

Please answer this correctly

bonufazy [111]

Answer:

The dependent variable is m

Step-by-step explanation:

A dependent variable is dependent on an independent variable. This variable is dependent on other variable that are measured . The dependent variable are expected to change as a result of the manipulation of the independent variables. Usually as the experiments changes the independent variable the dependent variable are observed and noted.

The independent variable is unaffected by the other variable you are measuring. The independent variable represent a quantity that is been manipulated in an experiment.

According to the question Jenny works as a server at Jefferson restaurant . The more table she is assigned to serve the more money she earns during a shift.

The independent variable is the number of table Jenny served because this is what she has control over.

The dependent variable is the amount of money Jenny earns because the amount of money she earns is dependent on the number of tables she served . Therefore the dependent variable is m

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3 years ago