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4 years ago

Please help me . Find the value of x

Mathematics

2 answers:

Ratling [72]4 years ago

4 0

Answer:

Step-by-step explanation:

Marrrta [24]4 years ago

3 0

The answer is 4 I believe

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write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,

gayaneshka [121]

Answer:

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$k$ - Scale factor, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0, 0)$ , $k = 2$ , $A(x,y) = (1,1)$ , $B(x,y) = (2,2)$ , $C(x,y) = (4,1)$ and $D(x,y) = (2,-1)$ , then the dilated points are, respectively:

Point A

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)]$

$A'(x,y) = (2,2)$

Point B

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)]$

$B'(x,y) = (4,4)$

Point C

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$

$C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)]$

$C'(x,y) = (8,2)$

Point D

$D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)]$

$D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)]$

$D'(x,y) = (4,-2)$

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

4 0

3 years ago

Every day a factory produces 5000 light bulbs, of which 2500 are type 1 and 2500 are type 2. if a sample of 40 light bulbs is se

alisha [4.7K]

<span>The solution: = 40, p = q = 0.5 P[x] = nCx *p^x *q^(n-x) when p = q = 0.5, the formula simplifies to P[x] = nCx/2^n = 40Cx/2^40 at least 18 of each type means 18 to 22 of (say) type I P(18 <= X <= 22) = 0.5704095 <------- qb mean = 40*0.5 = 20 SD = sqrt(npq) = sqrt(40*0.5*0.5) = 3.1623 z1= (18-20)/3.1623 = -0.63 , z2 = (22-20)/3.1623 = 0.63 P(-0.63 < z < 0.63) = 0.4713 <-------</span>

5 0

3 years ago

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GenaCL600 [577]

What is the question lol

8 0

3 years ago

Read 2 more answers

If two sides of a triangle are 5 and 7 inches longer than the third side and the perimeter measures 21, find the length of each

aleksandr82 [10.1K]

Hello

x
x +5
x + 7

x + x + 5 + x + 7 = 21
3 x = 21 - 12
3 x = 9
x = 3

3 , 5 et 7 pouces

7 0