All categories

2 years ago

Plot the points (-3,-4) and (6,-4) on the coordinate plane below.

Mathematics

1 answer:

defon2 years ago

6 0

Answer:

d = 9

Step-by-step explanation:

Distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Your ordered pairs (-3, -4) and (6, -4)

d=√((6-(-3))²+(-4-(-4))²)

d=√((6+3))²+(-4+4))²)

d=√((9)²+(0)²)

d = √81

d = 9

You might be interested in

What are the exact solutions of x^2 − 3x − 7 = 0?

bulgar [2K]

Given:

The given equation is $x^{2} -3x-7=0$

We need to determine the exact solutions of the equation.

Exact solution:

The exact solution of the equation can be determined by solving the equation using quadratic formula,

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

$x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}$

$x=\frac{3 \pm \sqrt{9+28}}{2}$

$x=\frac{3 \pm \sqrt{37}}{2}$

Thus, the exact solutions of the given equation is $x=\frac{3 \pm \sqrt{37}}{2}$

Hence, Option A is the correct answer.

6 0

3 years ago

Harold spent 3/4 hour milking cows. He milked 3 groups of cows. If he spent an equal amount of time on each group of cows, what

Aneli [31]

(3/4)/3

3/12

1/4

So he spent a 1/4 hour milking each group.

5 0

3 years ago

In equilateral ΔABC, AD, BE, and CF are medians. If FO = 4, then AE = A) 4 B) 4 3 C) 8 D) 12

vampirchik [111]

Firstly, we need to draw triangle

we know that

O is a centroid

and centroid divides median into 2:1

so,

$\frac{CO}{FO} =\frac{2}{1}$

we have FO=4

so, we can plug it

$\frac{CO}{4} =\frac{2}{1}$

$CO=8$

now, we can find CF

CF=OC+FO

CF=8+4

CF=12

now, we can see triangle ACF is a right angled triangle

so, we can use pythagoras theorem

$x^2=(\frac{x}{2} )^2+12^2$

now, we can solve for x

$\frac{3x^2}{4}=144$

$x^2=192$

$x=8\sqrt{3}$

Since, it is equilateral triangle

so,

$AC=x=8\sqrt{3}$

we know that

E is a mid-point

so,

$AE=\frac{AC}{2}$

now, we can plug values

$AE=\frac{8\sqrt{3}}{2}$

$AE=4\sqrt{3}$ ................Answer

5 0

3 years ago

Read 2 more answers

The sum of Two numbers is 9. The sum of the squares of the numbers is 41. Find the numbers.

Tju [1.3M]

Answer:

4 and 5

Step-by-step explanation:

Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"

X + Y = 9 {equation 1}

X² + Y² = 41 {equation 2}

from equation 1: y = 9-x

Substitute that into equation 2

x² + (9-x)² = 41

x² + 81 - 18x + x²= 41

2x² - 18x + 40 = 0

We can factor out a 2

x² - 9x + 20 = 0

(x-5)(x-4) = 0

x = 5 or 4

checking

Your two numbers are 4 and 5

4² + 5²

= 16 + 25

= 41

3 0

2 years ago

If Dan had 20 packs of gum and he didn't have any this week and next week he had 10 packs left. What happened to the other 10 pa

Murljashka [212]

Answer:

He ate it or he may have ate some in some packs then refilled the other packs.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers