All categories

3 years ago

What is the approximate distance between the points (–5, 4) and (2, –8)?

Mathematics

2 answers:

Volgvan3 years ago

8 0

Answer:

option d is the correct answer

Step-by-step explanation:

Distance Equation Solution:

d=radical(2−(−5))2+(−8−4)2

d=radical(7)2+(−12)2

d=radical49+144

d=radical 1–93

d=13.892444

Sonja [21]3 years ago

6 0

Bbfncyuvdhctbdjtcvchxu dud buddy dyvdyd buddy

You might be interested in

Which is a like radical to ^3 sqrt 54 after simplifying?

Pachacha [2.7K]

$\sqrt[3]{54} = \sqrt[3]{2 \times 27} = 3 \sqrt[3]{2}$

6 0

3 years ago

Read 2 more answers

3. If a snail moves

Mila [183]

Hi there!

We know that the snail lives 1 x 1/2 feet in 3 x 3/4 hours. First you have to simplify or solve the expressions. 1 x 1/2 is equal to 1/2 and 3 x 3/4 is 9/4 or 2.25 in decimal form.

You need to divide 2.25 by 1/2 or 0.5 which is 4.5.

So the snail moves 4.5 or 9/2 feet per hour.

Hope this helps !

5 0

3 years ago

A caterer has 5 rolls. He is ordering more rolls. He can order up to 9 packages of rolls and each package contains 12 rolls. The

stich3 [128]

B is the practical domain of the function

6 0

3 years ago

Really Easy, Help pleaseee

Dima020 [189]

1 minute = 0.25km

Step-by-step explanation:

divide both numbers that were given by 8. 8÷8 is 1 and 2÷8 is 0.25.

5 0

2 years ago

Read 2 more answers

For which system of equations is (5, 3) the solution? A. 3x – 2y = 9 3x + 2y = 14 B. x – y = –2 4x – 3y = 11 C. –2x – y = –13 x

Alla [95]

The correct answer is:

D) $\left \{ {{2x-y=7} \atop {2x+7y=31}} \right.$ .

Explanation:

We solve each system to find the correct answer.

For A:
$\left \{ {{3x-2y=9} \atop {3x+2y=14}} \right.$

Since we have the coefficients of both variables the same, we will use elimination to solve this.

Since the coefficients of y are -2 and 2, we can add the equations to solve, since -2+2=0 and cancels the y variable:
$\left \{ {{3x-2y=9} \atop {+(3x+2y=14)}} \right. 
\\
\\6x=23$

Next we divide both sides by 6:
6x/6 = 23/6
x = 23/6

This is not the x-coordinate of the answer we are looking for, so A is not correct.

For B:
$\left \{ {{x-y=-2} \atop {4x-3y=11}} \right.$

For this equation, it will be easier to isolate a variable and use substitution, since the coefficient of both x and y in the first equation is 1:
x-y=-2

Add y to both sides:
x-y+y=-2+y
x=-2+y

We now substitute this in place of x in the second equation:
4x-3y=11
4(-2+y)-3y=11

Using the distributive property, we have:
4(-2)+4(y)-3y=11
-8+4y-3y=11

Combining like terms, we have:
-8+y=11

Add 8 to each side:
-8+y+8=11+8
y=19

This is not the y-coordinate of the answer we're looking for, so B is not correct.

For C:
Since the coefficient of x in the second equation is 1, we will use substitution again.

x+2y=-11

To isolate x, subtract 2y from each side:
x+2y-2y=-11-2y
x=-11-2y

Now substitute this in place of x in the first equation:
-2x-y=-13
-2(-11-2y)-y=-13

Using the distributive property, we have:
-2(-11)-2(-2y)-y=-13
22+4y-y=-13

Combining like terms:
22+3y=-13

Subtract 22 from each side:
22+3y-22=-13-22
3y=-35

Divide both sides by 3:
3y/3 = -35/3
y = -35/3

This is not the y-coordinate of the answer we're looking for, so C is not correct.

For D:
Since the coefficients of x are the same in each equation, we will use elimination. We have 2x in each equation; to eliminate this, we will subtract, since 2x-2x=0:

$\left \{ {{2x-y=7} \atop {-(2x+7y=31)}} \right. 
\\
\\-8y=-24$

Divide both sides by -8:
-8y/-8 = -24/-8
y=3

The y-coordinate is correct; next we check the x-coordinate Substitute the value for y into the first equation:
2x-y=7
2x-3=7

Add 3 to each side:
2x-3+3=7+3
2x=10

Divide each side by 2:
2x/2=10/2
x=5

This gives us the x- and y-coordinate we need, so D is the correct answer.

7 0

3 years ago