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3 years ago

What two numbers add up to 9 and multiply to -90?

1 answer:

3 0

You solve the equation : t^2 - 9t - 90 = 0 ;
Δ = ( - 9 )^2 - 4 * 1 * ( - 90 ) = 81 + 360 = 441 ;
t1 = ( 9 + $\sqrt{441}$ ) / 2 = 30 / 2 = 15 ;
t2 = ( 9 - $\sqrt{441}$ ) / 2 = -12 / 2 = - 6 ;

The numbers are 15 and - 6 ;

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What is the difference of the fractions? Use the number line to help find the answer

alisha [4.7K]

Answer:

-7/10

Explanation:

Given the expression

$\frac{1}{2}-1\frac{1}{5}$

We can rewrite the expression as:

$\frac{1}{2}-\frac{6}{5}=\frac{5}{10}-\frac{12}{10}$

The number line showing the location of the two numbers is attached below. Therefore:

$\frac{5}{10}-\frac{12}{10}=-\frac{7}{10}$

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10 months ago

Polygon ABCD is a rectangle what is the area

Andre45 [30]

Solution:

As, You have Written Polygon ABCD is a rectangle.

It is a Four sided Polygon , having all it's interior angles equal to 90°.As well as Opposite sides are equal(AB=CD,AD=BC), equal diagonals(AC=B D).

Join any of the diagonal of Rectangle either AC or B D.

In Right Δ ABC , Right angled at B

${\text{Area (Right triangle ABC)}} =\frac{1}{2}\times AB \times BC$ ---(1)

In Right Δ ADC , Right angled at D

${\text{Area (Right triangle ABC)}} =\frac{1}{2}\times AD \times DC$ ---(2)

Adding (1) and (2) that is LHS to LHS and RHS to RHS

Ar( Δ ABC) +Ar( Δ ADC) $=\frac{1}{2}\times[ AB \times BC+ AD \times DC]\\\\=\frac{1}{2}[2 \times AB \times BC][\text{As, AB=CD, and BC=AD}]\\\\ = AB \times BC$

So, Area of Rectangle= Product of any two Adjacent Sides

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3 years ago

~Have I found, everybody a fun assignment to do today?~

Serga [27]

Answer:

um thanks i guess

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

11. Which property is illustrated by 5+n=n +5?

ohaa [14]

Answer:

The Communative Property

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3 years ago

What are the area and perimeter of square TUVW?<br>Area= <br>Perimeter=

Kruka [31]

Answer:

Area: 196

Perimeter: 56

Step-by-step explanation:

1. Pick a side for both length and height and count the distance between the two coordinates (for example VU and UT)

VU = 14

UT= 14

Also important to note here that you don't even need to count the distance for both because since it's a square, all the sides are the same. Only did this to make it easier to understand the next step.

2. Since it's a square, as I said before, all sides are the same. So, you can go ahead and mark WT and VW as 14 as well.

3. To get the area, use the formula base times height.

14 x 14 = 196

4. For perimeter, simply add up all the sides (or multiply 14 by 4 since all are the same)

14+14+14+14=56

6 0

2 years ago