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3 years ago

Find the area of this triangle pls help

Mathematics

2 answers:

Vitek1552 [10]3 years ago

8 0

Answer:

the area would be 15 square units.

All you have to do is find the length and the height from the points given.

Step-by-step explanation:

Crazy boy [7]3 years ago

4 0

15 sq units for the area

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What is the common ratio for this geometric sequence?<br> 27, 9, 3, 1, ...

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Solve the following equation by factoring:9x^2-3x-2=0

olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

$x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}$

Step-by-step explanation:

Original quadratic equation is $9x^{2}-3x-2=0$

Divide both sides by 9:

$x^{2} - \frac{x}{3} - \frac{2}{9}=0$

Add $\frac{2}{9}$ to both sides to get rid of the constant on the LHS

$x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}$ ==> $x^{2} - \frac{x}{3}=\frac{2}{9}$

Add $\frac{1}{36}$ to both sides

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}$

This simplifies to

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}$

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = $\frac{1}{6}\right)$ we can see that

$\left(x - \frac{1}{6}\right)^2$ = $x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}$

$\left(x - \frac{1}{6}\right)^2=\frac{1}{4}$

Taking square roots on both sides

$\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}$

So the two roots or solutions of the equation are

$x - \frac{1}{6}=-\sqrt{\frac{1}{4}}$ and $x - \frac{1}{6}=\sqrt{\frac{1}{4}}$

$\sqrt{\frac{1}{4}} = \frac{1}{2}$

So the two roots are

$x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}$

and

$x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}$

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2 years ago

This composite figure is made up of three simpler shapes. What is the area of

Lady_Fox [76]

Answer:

B. 175 square cm

Step-by-step explanation:

Area of the figure = Area of parallelogram + Area of square + Area of triangle

Area of parallelogram = (base x height)

= (14 x 5)

= 70 $cm^{2}$

Area of square = (length x length)

= (7 x 7)

= 49 $cm^{2}$

Area of triangle = ( $\frac{1}{2}$ base x height)

= ( $\frac{1}{2}$ x 16 x 7)

= 56 $cm^{2}$

Area of the figure = 70+ 49 + 56

= 175

The area of the figure is 175 $cm^{2}$ .

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3 years ago

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beks73 [17]

Answer:

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3 years ago