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3 years ago

13

Another question for math. ill give mad points, the question is in attachment

1 answer:

yulyashka [42]3 years ago

5 0

For this case we have the following points:
y = (- 2, 5)
z = (1, 3)
Therefore, the vector yz is given by:
yz = z - y = (1, 3) - (-2, 5)
yz = ((1 - (- 2)), (3-5))
yz = ((1 + 2), -2)
yz = (3, -2)
Then, the magnitude is given by:
lyzl = root ((3) ^ 2 + (-2) ^ 2)
lyzl = root (9 + 4)
lyzl = root (13)
Answer:
yz = (3, -2)
lyzl = root (13)
option A

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Help me with the part b!

ra1l [238]

Average speed = (distance final - distance initial)/(time final - time initial)
Average speed = (30-0)km /(100 -0)min = 3/10 km/min

3/10 km/min *60 min/1 h = 180/10 km/h= 18 km/h

7 0

3 years ago

a wire of length 200 cm is cut into two parts and each part is bent to form a square.If the area of the larger square is 9 times

diamong [38]

<em>Answer:</em>

<em>The perimeter of the larger square is $150cm.$ </em>

<em>Step-by-step explanation:</em>

<em>First of all, let one part of it be " $x$ "</em>

<em>and the other part of it " $200-x$ "</em>

<em>Now to solve this :</em>

<em>The area of the square = $L^2$ </em>

<em>The area of one part of the square = $x^2$ </em>

<em>The area of the other part of the square = $(200-x)^2$ </em>

<em> $9x^2= (200-x)^2\\9x^2=40000-400x+x^2$ </em>

<em></em>

<em>Now, add, $-4x^2$ to both the sides :</em>

<em> $9x^2-9x^2=40000-400x+x^2-9x^2\\-1(8x^2+400x-40000)=0$ </em>

<em />

<em>Now, take out the "8" which is common :</em>

<em> $-8(x^2+50x-5000)=0$ </em>

<em></em>

<em>Now, divide it by $-8$ :</em>

<em> $x^2+100x-50x-5000=0\\x(x+100)-50(x+100)=0\\(x+100)(x-50)=0\\$ </em>

<em> $x=-100$ or $50$ </em>

<em />

<em>So, now we know that :</em>

<em>One of the part is = $50cm$ </em>

<em>And the other part is = $150cm$ </em>

<em />

<em>Thus the perimeter of the larger square is = $150cm$ </em>

3 0

3 years ago

PLease help me with this!

astraxan [27]

Answer:

1. x2 - 9 > 0

x^2-3^2>0

(x+3)(x-3)>0

(x+3)>0 and (x-3)>0

x>-3 and x>3

2. x2 - 8x + 12 > 0

x^2 - 8x +12>0

x^2 -2x -6x +12 >0 (-8x is replaced by (-2x) + (-6x) )

x(x-2) -6(x-2) >0

(x-6)(x-2)>0

(x-6)>0 and (x-2)>0

x>6 and x>2

3. -x2 - 12x - 32 > 0

-x^2 -12x -32 >0

x^2 +12x +32 <0

x^2 +4x +8x +32<0

x(x+4) +8(x+4)<0

(x+8)(x+4)<0

(x+8)<0 and (x+4)<0

x<-8 and x<-4

4. x2 + 3x - 20 >= 3x + 5

x^2 +3x -20 >= 3x +5

x^2 +3x -20 -3x >= 3x +5 -3x

x^2 -20 >= 5

x^2 -20 +20 >= 5 +20

x^2 >=25

x^2-25 >=0

(x-5)(x+5)>=0

(x-5)>=0 and (x+5)>=0

x>=5 and x>=-5

6 0

2 years ago

Tems11 [23]

Answer:

My guess would be

C. multiplicative identity property

4 0

3 years ago

Allison works at a Bank. Her employer offers her a retirement pension plan which will be 1.75% of her average salary for the las

Law Incorporation [45]

9514 1404 393

Answer:

$41,977.60

Step-by-step explanation:

Allison's average salary for the last 5 years is ...

(70 +73.1 +75.2 +77.5 +79)/5 = 74.96 . . . . thousand dollars

Then her annual pension is ...

1.75% × $74,960 × 32 = $41,997.60

6 0

2 years ago