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xxMikexx [17]
2 years ago
5

The solutions to a certain quadratic equation are x= -4 and X = 3. Write the equation in standard form below.

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
8 0

Answer:

x² + x - 12 = 0

Step-by-step explanation:

If x = -4 and x = 3 are solutions to a quadratic equation, then

(x + 4)(x - 3) = 0

Expand the brackets:  x² - 3x + 4x - 12 = 0

Combine like terms:  x² + x - 12 = 0

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Nora measured the angles of a triangle. Two of the angles measured 20° What was the measure of the third angle of Nora’s triangl
aivan3 [116]

Answer:

140°

Step-by-step explanation:

The sum of angle of a triangle is equal to 180°.

Two of the angles measured 20°.

We need to find the measure of the third angle of Nora’s triangle. let the third angle is x. So,

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x = 180-40

x = 140°

So, the third angle of the triangle is 140°.

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Rom4ik [11]

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6 0
2 years ago
The perimeter of a rectangle is 20.2 CM and it's area is 24.4 cm squared what is its length and width
erma4kov [3.2K]

Answer:

Length of Rectangle = 4 cm    And

Width of Rectangle = 1.9 cm      

Step-by-step explanation:

Given as :

The perimeter of rectangle = 20.2 cm

The area of rectangle is 24.4 cm

Let the length be L

And width be w

Now Area of rectangle = Length × width  

Or,  24.4 = L × W

And Perimeter = 2 (Length + Width ) = 2 (L + W )

Or,   20.2         = 2(L + W )

Or , L + W = 10.1 cm                   ............ 1

Now, (L - W )²  = (L + W)² -4 LW

Or,   (L - W )²  = ( 10.1)² -4 (24.4)

I.e    (L - W )² = 4.41

Or , L - W = 2.1 cm                    .............. 2

SO , From 1 and 2

( L + W) + (L - W) = 10.1 cm - 2.1 cm

Or, 2L = 8

∴  Length = 4 cm

Again , Width = 4 cm - 2.1 cm = 1.9 cm

Hence   Length of Rectangle = 4 cm    And

             Width of Rectangle = 1.9 cm       Answer

6 0
3 years ago
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