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2 years ago

Which measurements could not represent the side lengths of a right triangle?

Mathematics

1 answer:

IRISSAK [1]2 years ago

3 0

Answer:

Step-by-step explanation:

3, 4 and 5 cant be a right triangle

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Determine the corresponding general form of each of the following vertex form

SSSSS [86.1K]

Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

y= x² - 2*x*1 + 1

y = x² - 2x + 1

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

= x² + 8x + 16 + 5

y = x² + 8x + 21

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y = 3x² + 12x + 12 - 18

y =3x² + 12x - 6

5) y = -2(x + 1)² - 16

= -2[x² + 2x + 1] -16

= -2x² - 4x - 2 - 16

y = -2x² - 4x - 18

6) y = 5(x + 5)²

=5[x²+ 10x + 25]

y = 5x² +50x + 125

7)y = (1/2)(x + 8)² - 8

y = (1/2) (x² + 16x + 64) - 8

$y = \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24$

8) y = (x + 3/2)² + 3/4

$y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3$

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

4 0

2 years ago

If an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x

Anna71 [15]

Answer:

x = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w

l stands for length or the longer side.

w stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either ( x − 5 ) or ( x + 11 ) or both equal zero. Therefore, we set each equal to zero to find the value of

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since x is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.

4 0

2 years ago

A number is multiplied by 2, and then the product is added to 9. The result is 49.

Scorpion4ik [409]

Answer:

Step-by-step explanation:

4 0

3 years ago

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300 girls will do gym on Saturday. 100 girls did gym on Thursday, and 93 girls did gym on Friday. How many more girls will do gy

cestrela7 [59]

Answer:

107 more girls will do gym on Saturday than Thursday and Friday altogether

Step-by-step explanation:

300 girls will do gym on Saturday.

100 girls did gym on Thursday

and 93 girls did gym on Friday.

now,

300 - (100 + 93)

300 - 193 = 107

6 0

3 years ago

(-8)+(-6.9) PLSS HELPP MEEE

fgiga [73]

Answer:

-14.9

Step-by-step explanation:

just remove the parenthesis and add

4 0

3 years ago

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