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4 years ago

(25 POINTS!!)What is the equation of the line that passes through the points (15,9) and (-2,9)?

2 answers:

dsp734 years ago

8 0

$\text{d stands for distance between two points} \\d(A, B)=\sqrt{(\Delta{x})^2+(\Delta{y})^2} \\\text{or simply} \\d(A, B)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{now put in the data} \\d(A, B)=\sqrt{(-2-15)^2+(9-9)^2} \\d(A, B)=\sqrt{(-17)^2} \\d(A, B)=\boxed{17} \\$

Viktor [21]4 years ago

5 0

Let's use the point-slope formula...

y-y1=m(x-x1)

m is the slope.

y--9=7(x--2)

Subtracting a negative number is the same as adding a positive number...

y+9=7(x+2)

y+9=7x+14

Let's subtract 9 from both sides...

-9+y+9=7x+14-9

y=7x+5

The formula is now in the format of...

y=mx+b

This is known as slope-intercept.

m is the slope.

b is the y-intercept, the value of y when x=0.

Standard formula is...

Ax+By=C

Neither A nor B equal zero.

A is greater than zero.

y=7x+5

Let's move 7x to the left side of the equation. It becomes negative.

-7x+y=5

Let's multiply both sides by -1 to render A greater than zero.

-1(-7x+y)=(5)(-1)

7x-y=-5 

This is the equation in standard form.

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Solve for x 4^x-2=256

salantis [7]

We can do this problem using two ways....
Let me show you both methods.

Method 1: "Without using logs"

$4^{x-2}=256\\\\ 4^{x-2}=4^4\ \ \ \ \ |\because 4^4 \ $is the same as 256$

Now, since both sides of the equation have same base and they equal each other, then their exponent must be equal to each other. So, we equal their exponents.

After equaling the exponents, we get,
$x - 2 = 4 \\\\ x=4+2 \\\\ \boxed{x = 6} \Leftarrow $ This is your answer!!$

Now,
Method 2: "Using Logs"

$4^{x-2}=256 \\\\ ~~~~~~~\Downarrow ~~~~~~ is\ the\ same\ thing\ as\ saying \\\\$log\ _4\ 256 =x-2 \\\\ Now,\ using\ the\ log\ property\ log_AB= \frac{log_cA}{log_cB}, \ we \ get, \\\\ \frac{log_{10}256}{log_{10}4}=x-2 \\\\ 4=x-2 \\\\ 4+2=x\\\\ 6=x \\\\ \boxed{x=6} \Leftarrow $This is your answer$

So, either way we get x= 6

8 0

3 years ago

Read 2 more answers

In a fish tank 8over11 of the fish have a red stripe on them if 16 of the fish have stripes, how many total fish are

meriva

8/11 of what = 16

8/11x = 16
x = 16 * 11/8
x = 176/8
x = 22......so there are a total of 22 fish in the tank

8 0

3 years ago

Read 2 more answers

4.95 what value of digit is the 9

belka [17]

Note:

4 is in the ones place

. (decimal)

9 is in the tenths place

5 is in the hundredths place

tenths place has the value digit of 9

hope this helps

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3 years ago

Whats the length of CD?

Svet_ta [14]

Answer:

The answer of the question is 4.7

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3 years ago

statuscvo [17]

Answer:

Divide both sides by 5.

Step-by-step explanation:

Divide both sides by same non-zero constant.

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2 years ago