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3 years ago

Given a situation involving a dilation, how do you determine the scale factor.

Mathematics

1 answer:

USPshnik [31]3 years ago

4 0

Answer:

See explanation below.

Step-by-step explanation:

The scale factor can be found by dividing two corresponding side lengths. For instance, if you have two triangles, divide the new length of the larger or smaller triangle by the same side length of the original.

If the side length of the new was 9 and the old was 3 then the scale factor would be 9/3 = 3.

If it were flipped then the new would be 3 and the old would be 9. So the scale factor would be 3/9 = 1/3.

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Which logarithmic equation is equivalent to 2^5=32?

kolbaska11 [484]

Answer: $5=log_{2}(32)$

Step-by-step explanation:

1. By definition, you have if $y=b^{x}$ , then $x=log_{b}(y)$

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

$2^{5}=32$

Where:

$x=5\\y=32\\b=2$

- Substitute values into $x=log_{b}(y)$ . Then, you obtain:

$5=log_{2}(32)$

6 0

3 years ago

Read 2 more answers

An airline offers daily flights between Chicago and Denver. The total monthly cost C (in millions of dollars) of these flights c

Ira Lisetskai [31]

Answer:

6250

Step-by-step explanation:

Fill in the given number and solve for x. The answer is 1000x, rounded.

$C=\sqrt{0.2x+1}\\\\1.5=\sqrt{0.2x+1} \quad\text{use given value for C}\\\\2.25=0.2x+1 \quad\text{square both sides}\\\\1.25=0.2x \quad\text{subtract 1}\\\\6.25=x \quad\text{multiply by 5}$

x is in thousands, so 6.25×1000 = 6,250 passengers flew in June.

8 0

3 years ago

Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)2 − 6

Nookie1986 [14]

Answer:

See attached image

Step-by-step explanation:

This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.

The vertex coordinates are therefore: (-2,-6)

The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.

See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.

3 0

3 years ago

RS bisects TU at Q. If TQ=5k-9 and QU=15-x

snow_lady [41]

Answer:

x = 4, TU = 22

Step-by-step explanation:

Given that TS bisects TU at Q , then

TQ = QU , substitute values

5x - 9 = 15 - x ( add x to both sides )

6x - 9 = 15 ( add 9 to both sides )

6x = 24 ( divide both sides by 6 )

x = 4

Thus

TU = 5x - 9 + 15 - x = 4x + 6 = 4(4) + 6 = 16 + 6 = 22

4 0

3 years ago

Combine the like terms to create an equivalent expression. 4t - t + 2 (I think its 2 but im really stupid lol and its probaly no

ki77a [65]

Answer:

3t +2

Step-by-step explanation:

In order to combine the like terms, you look at the constants and the variables. A variable has a letter in it. When looking at this expression, you find that there are two variables, 4t and -t. You then simplify these variables, getting 3t because it is 4t - t. Now, there is a two left, and since that ISN'T a variable, and is a constant, we can't do anything with it because we cannot combine it with anything else in the expression. Your guess was partially right ;)

Hope this helped!

8 0

3 years ago

Read 2 more answers