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3 years ago

6

The graph shows the cost to rent a snowblower at Rental Depot and ABC Rentals. The cost for each depends on the time it is rente

d.
Cost vs Time to Rent a Snowblower
Rental Depot
ABC Rentals
60
50
(5) 1509
40
30
20
10
0
7
Time (hours)
How many hours would a person have to rent the snowblower for it to cost the same at both places?

2 answers:

Len [333]3 years ago

8 0

The answer is 4 hours

jonny [76]3 years ago

3 0

Answer:

4 hours because the two lines cross when the hour is 4

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Area of a triangle with points at (-9,5), (6,10), and (2,-10)

Ann [662]

First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Distance from point A to point B:
$d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}$
$d_{AB}= \sqrt{(6+9)^2+(10-5)^2}$
$d_{AB}= \sqrt{(15)^2+(5)^2}$
$d_{AB}= \sqrt{225+25}$
$d_{AB}= \sqrt{250}$
$d_{AB}=15.81$

Distance from point A to point C:
$d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}$
$d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}$
$d_{AC}= \sqrt{11^2+(-15)^2}$
$d_{AC}= \sqrt{121+225}$
$d_{AC}= \sqrt{346}$
$d_{AC}= 18.60$

Distance from point B from point C
$d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}$
$d_{BC}= \sqrt{(-4)^2+(-20)^2}$
$d_{BC}= \sqrt{16+400}$
$d_{BC}= \sqrt{416}$
$d_{BC}=20.40$

Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
$s= \frac{AB+AC+BC}{2}$
$s= \frac{15.81+18.60+20.40}{2}$
$s= \frac{54.81}{2}$
$s=27.41$

Finally, to find the area of our triangle, we are going to use Heron's formula:
$A= \sqrt{s(s-AB)(s-AC)(s-BC)}$
$A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}$
$A= \sqrt{27.41(11.6)(8.81)(7.01)}$
$A=140.13$

We can conclude that the perimeter of our triangle is 140.13 square units.

3 0

3 years ago

An isosceles triangle has sides of length x, x, and y. in addition, assume the triangle has perimeter 24. (a) find the rule for

ser-zykov [4K]

Answer:

A(x) = (24 -2x)√(6(x -6))

Step-by-step explanation:

Heron's formula for the area of a triangle in terms of sides a, b, and c is ...

A = √(s(s -a)(s -b)(s -c))

where s is the semi-perimeter.

Here, we have s = 24/2 = 12, and a = b = x, c = 24-2x. So, the area is ...

A = √(12(12 -x)(12 -x)(12 -(24 -2x)) = (12 -x)√(12(2x -12))

A = 2(12 -x)√(6(x -6))

8 0

3 years ago

Which property is shown by -3 x (6+5) = -3 x 6+ -3 x 5

aniked [119]

Answer:

The distributive property of multiplication

Step-by-step explanation:

we know that

The <u>distributive property of multiplication</u> states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products

so

$a*(b+c)=a*b+a*c$

in this problem we have

$-3*(6+5)=-3*6+-3*5$ ----> the number -3 is distributed

therefore

We have the distributive property of multiplication

4 0

4 years ago

Is 1,341,491 divisible by 9?

zheka24 [161]

Answer:

no

Step-by-step explanation:

you would get this: 149054.555556

8 0

2 years ago

Read 2 more answers

The table shows sets of ordered pads that form a relation

dsp73

Answer:

(5,2) (-2,5) this is how you solve an equation using simple graphd

4 0

3 years ago