1 year ago

Which shows the factored form x2-12x-45

Mathematics

2 answers:

posledela1 year ago

6 0

45=5*9, 5-9=-4=/=-12
45=15*3, 3-15=-12
(x+3)(x-15)=x^2-12x-45

kondaur [170]1 year ago

4 0

X^2-12x-45

x^2+3x-15x-45

x(x+3)-15(x+3)

(x-15)(x+3)

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alekssr [168]

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2 years ago

Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect. In the kite, AC = 10 a

Oduvanchick [21]

Answer:

$30 u^{2}$

Step-by-step explanation:

The computation of the area of kite ABCD is shown below:

Given data

AC = 10 ;

BD = 6

As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal

Now the area of quadrilateral when the diagonals are given

So, it is

$\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}$

where,

$d_{1}=10\ and\ d_{2}=6$

So, the area of the quadrilateral is

$=\frac{1}{2}(10)(6)\\\\=30 u^{2}$

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1 year ago

Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown. The height is S

Lubov Fominskaja [6]

<h2>Explanation:</h2><h2></h2>

We know that the volume of a prism is defined by:

$V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}$

Substituting values:

$V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}$