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3 years ago

Please answer #1 and #2

Mathematics

1 answer:

DIA [1.3K]3 years ago

6 0

1)
x^2 + (3y/2z) = 7
2x^2z + 3y = 14z
3y = 14z - 2x^2z
3y = 2z(7 - x^2)
y = 2/3(z)(7 - x^2)

2)
(3zx^4) /(5+z) = 2y
3zx^4 = 2y(5+z)
3zx^4 = 10y + 2yz

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A = {a, b, c, d}

Helen [10]

Answer:

Johnny is wrong.

$A \cup B = \left\{a,b,c,d,e,f,g,h\right\}$

Step-by-step explanation:

Johnny is wrong.

A better definition would be: $A \cup B$ is the set of all elements that belong to at least one A or B.

So, the elements that belong to both A and B, like c and d in this exercise, also belong to $A \cup B$ .

So:

$A \cup B=\left\{a,b,c,d,e,f,g,h\right\}$

4 0

3 years ago

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baherus [9]

Answer:

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Step-by-step explanation:

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3 years ago

I don’t really get this one.<br> Thx and have a great day!!

gayaneshka [121]

Answer:

The correct option is C). (9,4)

The coordinates of a point N is (9,4)

Step-by-step explanation:

Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by

P= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

Given that point, M is lying somewhere between point L and point N.

The coordinates of a point L is (-6,14)

The coordinates of a point M is (-3,12)

Also, LM: MN = 1:4

We can write as,

Let,

Point L(-6,14)=(X1, Y1)

Point M(-3,12)=(x,y)

Point N is (X2, Y2)

m=1 and n=4

M(-3,12)= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

M(-3,12)= $(\frac{1(X2)+4(-6)}{1+4} , \frac{(Y2)+4(14)}{1+4})$

M(-3,12)= $(\frac{(X2)-24}{5} , \frac{1(Y2)+56}{5})$

$(-3)=\frac{(X2)-24}{5}$

(-15)=X2-24

X2=9

$(12)=\frac{(Y2)+56}{5}$

(60)=Y2+56

Y2=4

Thus,

The coordinates of a point N is (9,4)

Result: The correct option is C). (9,4)

3 0

3 years ago

Units are squared when dealing with area but not when dealing with perimeter

Mashcka [7]

The answer is true I believe

7 0

4 years ago

A straw has a diameter of 0.6cm and a length of 19.5 cm. What is the surface area of the straw round to the nearest tenth. Use 3

Nadusha1986 [10]

Answer:

37.3032cm^2

Step-by-step explanation:

Given data

Diameter= 0.6cm

Radius= 0.3cm

Lenght = 19.5cm

Surface area (A) =2πrh+2πr^2

Substitute

A=2*3.14*0.3*19.5+2*3.14*0.3^2

A=36.738+0.5652

A=37.3032

Hence the surface area is

37.3032cm^2

6 0

3 years ago