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2 years ago

Expand the logarithm: log3 3xy^2z^5

Mathematics

1 answer:

ioda2 years ago

7 0

Answer:

2log(3) + log(x) + 2log(y) + 5log(z)

Hope this helps(:

Step-by-step explanation:

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Which expression can you substitute

valina [46]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(30/19,2/19)

Equation Form: x=30/19, y=2/19

7 0

2 years ago

Isabell is thinking of a even number between 234 and 250 the sum of the digits is double the digit in the ones place what is Isa

Lelu [443]

Answer:

246.

Step-by-step explanation:

Let the number be 2xy, then

2 + x + y = 2y and y must be even because the whole number is even.

y = 2 + x .

Now x must be even because y is even.

The only 2 numbers which fit are x = 4 and y = 6 so the number is 246.

Checking: 2+4+6 = 12 and 12 = 2*6.

5 0

2 years ago

Which description does NOT guarantee that a quadrilateral is a rectangle?

grandymaker [24]

The answer would be : A parallelogram with congruent sides does NOT guarantee that a quadrilateral is a rectangle

7 0

2 years ago

XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for thi

Rashid [163]

Answer:

The coordinates are $Y'(x,y) = (3, 8)$ and $Z'(x,y) = (10, 13)$ .

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

$X'(x,y) = X(x,y) + T(x,y)$ (1)

Where $T(x,y)$ is the vector translation.

If we know that $X(x,y) = (2,3)$ and $X'(x,y) = (4,7)$ , then the vector translation is:

$T(x,y) = X'(x,y)-X(x,y)$

$T(x,y) = (4,7) - (2,3)$

$T(x,y) = (2, 4)$

Then, we determine the coordinates for Y' and Z':

$Y'(x,y) = Y(x,y) + T(x,y)$

$Y'(x,y) = (1,4) + (2,4)$

$Y'(x,y) = (3, 8)$

$Z'(x,y) = Z(x,y) + T(x,y)$

$Z'(x,y) =(8,9) + (2,4)$

$Z'(x,y) = (10, 13)$

The coordinates are $Y'(x,y) = (3, 8)$ and $Z'(x,y) = (10, 13)$ .

7 0

2 years ago

the lengths of the side of a rectangular window have the ratio 1.7 to 1 the area of the window is 2,720 sqaure inches what are d

nignag [31]

Answer:

$Lenght: 68\ in\\\\Width: 40\ in$

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

You know that the ratio of the sides of the rectangular window is:

$1.7:1$

Then, let be $x$ the width (in inches) of the rectangular window and $1.7x$ the lenght (in inches) of the rectangular window.

Knowing that the area of the window is 2,720 square inches, you can know that:

$(1.7x)(x)=2,720$

Now you must solve for "x" in order to find the width:

$(1.7x)(x)=2,720\\\\1.7x^2=\\\\x=\sqrt{\frac{2,720}{1.7} }\\\\x=40$

Finally, the lenght is:

$1.7x=1.7(40)=68$

3 0

3 years ago