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Vaselesa [24]
3 years ago
6

Find the distance between the points (5, -5) and (-7,4).

Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

<h2>The answer is 15 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5, -5) and (-7,4)

The distance between them is

d =  \sqrt{ ({5 + 7})^{2}  +  ({ - 5 - 4})^{2} }  \\  =  \sqrt{ {12}^{2}  + ( { - 9})^{2} }  \\  =  \sqrt{144 + 81}  \\  =  \sqrt{225}  \\  = 15 \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>15 units</h3>

Hope this helps you

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What is the common difference of the sequence below?
vagabundo [1.1K]

Answer:

Step-by-step explanation:

In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.

a1 = -4

a2 = -2

Let "d" representing the COMMON DIFFERENCE.

d = -2 -(-4)

d = -2 + 4

d = 2

ANSWER:

THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2

3 0
3 years ago
Read 2 more answers
If one bag of grass seed will cover 225 square feet, what is the minimum number of bags the haney family will need to cover thei
Veronika [31]

Answer:

9 bags

Step-by-step explanation:

First we will need to calculate the area of their entire backyard, which has a shape of trapezium.

So the formula for the area of a trapezium is A=\frac{(a+b)*h}{2}

a and b are the lenghts of the parallel sides and h is the height.

From the picture a=10*5=50\\b=9*5=45\\h=8*5=40

Then we plug into our formula

A=\frac{(a+b)*h}{2} =\frac{(50+45)*40}{2} = 1200 square feet

To get the number of bags required we just simply divide the aree of their entire yard by the space that 1 bag covers. We get:

\frac{1900}{225} =8.444... bags

This is more than 8 bags so they will need 9 bags to cover their entire yard.

8 0
3 years ago
Please help this is due tomorrow.<br><br> 1/2 of 20?
Mars2501 [29]

1/2 of 20 is 20/2 which is 10.

All you really need to do here is to divide 20 by 2 to get 10.


6 0
3 years ago
Read 2 more answers
Y=mx+b (-6,-3) and (0,9)
Leno4ka [110]

Answer:

y = 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)

m = \frac{9+3}{0+6} = \frac{12}{6} = 2

The line crosses the y- axis at (0, 9) ⇒ b = 9

y = 2x + 9 ← equation of line

3 0
3 years ago
What is a possible value for the missing term of the geometric sequences?
Ganezh [65]
A(n)=ar^(n-1)  and we can find the rate upon using the ratio of two points...

50/1250=1250r^2/1250r^0

1/25=r^2

r=1/5  so

a(n)=1250(1/5)^1=250

...

You could have also found the geometric mean which is actually quite efficient too...

The geometric mean is equal to the product of a set of elements raised to the 1/n the power where n is the number of multiplicands...in this case:

gm=(1250*50)^(1/2)=250
8 0
3 years ago
Read 2 more answers
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