NEED HELP ASAP!!!!!!!!

Find the distance between each pair of points -6 -5 2 0

Dima020 [189]

Hi, I'm happy to help!

To solve this, we need to find the distance in x coordinate values, y coordinate values, then use the Pythagorean Theorem to solve for the distance.

First, let's find the distance in x coordinate values. Our first x coordinate value is -6, and our second is 2. From here, we subtract.

-6-2=-8

Since we have a negative number, we use absolute value, which says how far the number is from 0.

I-8I

8

The distance in x coordinate values is 8.

Next, we find the distance in y coordinate values. our first y coordinate is -5, and our second is 0, now, let's subtract.

-5-0=-5

I-5I

5

The distance in y coordinate values is 5.

From here, we use the Pythagorean Theorem, which states that a²+b²=c².

This has to do with right triangles. Think about drawing a line down to the y coordinate of the other point, then to the x coordinate. Now, drawing a line straight from point to point. Now, you have a right triangle, and we are trying to find c, the direct distance of the line going from point to point. Let's say that our x distance is a, and our y distance is b.

Let's plug in the values:

8²+5²=c²

64+25=c²

89=c²

To find c, we need to find the square root of 89.

√89=c

9.433981132...=c

Since this number goes on forever, we need to round.

Rounding to the nearest thousandth:

9.434

Nearest hundredth:

9.43

Nearest tenth:

9.4

Depending on what the question asks, use one of these values.

To conclude, The distance between the two points is about 9.43 units.

I hope this was helpful, keep learning! :)

7 0

3 years ago

write the equation in slope intercept form for a line that will pass through (0,3) and have a slope of (-8,15)

egoroff_w [7]

The equation of line with the slope m in the slope intercept form is :

y = mx + b

Slope can express as :

$\text{ Slope=}\frac{y_2-y_1}{x_2-x_1}$

Substitute the value :

$(x_1,y_1)=(0,3),(x_2,y_2)=(-8,15)$

$\begin{gathered} \text{ Slope=}\frac{y_2-y_1}{x_2-x_1} \\ Sl\text{ope=}\frac{15-3}{-8-0} \\ \text{ slope=}\frac{12}{-8} \\ \text{slope}=\frac{3}{-2} \end{gathered}$

Substitute the value of slope in the equation of line:

$\begin{gathered} y-3=\frac{3}{-2}(x-0) \\ y-3\text{ =-}\frac{3}{2}x \\ y=-\frac{3}{2}x+3 \end{gathered}$

Equation of line in slope intercept form is :

y = -3/2x + 3

Slope = -3/2

Answer : y = -3/2x + 3

Slope = -3/2

3 0

1 year ago

There are 24 dogs to 18 at the pet day care write the ratio of cats to dogs

fgiga [73]

Answer:

24:18

Step-by-step explanation:

this is the way i wa taught not sure if its right

8 0

3 years ago

Read 2 more answers

Determine whether the polynomial is a difference of squares and if it is, factor it.

GREYUIT [131]

Remember these three formulas (really, learn these by heart):

${(a + b)}^{2} = a^{2} + 2ab + b^{2}$

${(a - b)}^{2} = a^{2} - 2ab + b^{2}$

$(a + b)(a - b) = a^{2} - b^{2}$

The stated formula is a manifestation of the last of these three. So indeed,

$(y + 15)(y - 15) = y^{2} - 225$

8 0

3 years ago

I need help with number five. Thank you much!

s344n2d4d5 [400]

Hey there.

For 5:

We already have been given all the information we need to solve for this- it's just really extensive, so bare with me here.

With our initial deposit of $150 in January, we give 10% of the current value in the following month. This means 10% of 150 will be deposited into the checking account in February, and so on for the rest. I will work this out.

10% of 150 = 15; we deposit $15 into the account in February.
10% of 165 = 16.5; we deposit $16.5 into the account in March.
10% of 181.5 = 18.15; we deposit $18.15 into the account in April.
10% of 199.65 = 19.965; we deposit $19.96 in May (as we don't have an economical value worth a thousandth of a dollar in this problem).
10% of 219.61 = 21.961; we deposit $21.96 in June.
10% of 241.57 = 24.157; we deposit $24.15 in July.
10% of 265.72 = 26.572; we deposit $26.57 in August.

Our total value is $292.29, although if we added the thousandths, we'd have $292.31; therefore your answer is going to be D.) $292.31

I hope this helps!

3 0

3 years ago