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3 years ago

14

25

gn="absmiddle" class="latex-formula"> = 125x + 3

2 answers:

natulia [17]3 years ago

8 0

Answer:

x = -9

Step-by-step explanation:

25^x = 125 ^(x+3)

Rewriting

5^2^x = 5^3^(x+3)

We know a^b^c = a^(b*c)

5^(2x) = 5^(3(x+3))

5^(2x) = 5^(3x+9)

The bases are the same so the exponents are the same

2x = 3x+9

Subtract 3x from each side

2x-3x = 3x+9-3x

-x =9

x = -9

vodomira [7]3 years ago

8 0

Answer:

x is -9

Step-by-step explanation:

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What is the distance in units between the points (-1, 5) and (-1, -3)?

grandymaker [24]

Answer:

for (-1,5) the distance is 6. For (-1, -3) its 2

Step-by-step explanation:

(5 - -1) = 6

(-3 - -1) = -2

[-2] opposite is two.

3 0

3 years ago

Show that the points (3,1) and (1,3) are the same distance from the origin

Phantasy [73]

Let's use the distance formula to find the distance between the origin and each of the points. We can use this to show that the distances are the same. Remember that the distance formula is:

$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$(x_1, y_1)$ is one point
$(x_2, y_2)$ is the other point that you are trying the distance to

First, let's find the distance between the points (3, 1) and the origin, (0, 0). We will call this distance $D_1$ .

$D_1 = \sqrt{(3 - 0)^2 + (1 - 0)^2}$

$D_1 = \sqrt{3^2 + 1^2}$

$D_1 = \sqrt{10}$

Next, let's find the distance between (1, 3) and the origin, (0, 0). We will call this $D_2$ .

$D_2 = \sqrt{(1 - 0)^2 + (3 - 0)^2}$

$D_2 = \sqrt{1^2 + 3^2}$

$D_2 = \sqrt{10}$

We can see that $D_1 = D_2$ , or that the distances are the same. ✔︎

5 0

4 years ago

Could you check my answer, whether I done it right or wrong?

Iteru [2.4K]

your almost right check once and you wil get especially alternate angles

4 0

3 years ago

Find the area of the circle. Use n = 3.14 and round your answer to the nearest hundredth.

ExtremeBDS [4]

Answer:

615.44m

hope this helps

have a good day :)

Step-by-step explanation:

7 0

3 years ago

Find the solutions of the equation 3x = x4, rounded to two decimal places. (Enter your answers as a comma-separated list.)

Rzqust [24]

Answer: $-0.802; \ 1.517$

Step-by-step explanation:

Given

$3^x=x^4$

Here, two functions are given that is $y=3^x$ and $y=x^4$

Check for the intersection of the graph of two curves

From the graph, they cut at two different points i.e. $x=-0.802\ \text{and}\ x=1.517$

Rest two roots are negative.

6 0

3 years ago