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Fudgin [204]
3 years ago
11

A triangle has sides with lengths of 9 kilometers, 12 kilometers, and 15 kilometers. Is it a right triangle?

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

it is a right triangle i am positive

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The number of small lawns Isabella can rake depends on the amount of time she spends raking. Isabella can rake 3 lawns in 3.75 h
ycow [4]

Answer:

1) 4      2)7

Step-by-step explanation:

1) If we divide 3.75/3=1.25 which is the amount of time she takes per yard so if we add another yard to what she has already done we find she only could do one more yard in 5 hours 3.75+1.25=5.00 So she can only rake 4 yards in 5 hours

2) If we divide 20.25/3=6.75 we find that each ticket is $6.75 so we must divide that by 47.25 to get the amount of tickets 47.25/6.75=7


6 0
3 years ago
Of 10<br> Find the gradient of the line segment between the points (2,-2) and (0,-6).
Veseljchak [2.6K]

Answer:

<h3>The answer is 2</h3>

Step-by-step explanation:

The gradient of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

From the question we have

m  =  \frac{ - 6 -  - 2}{0 - 2}  =  \frac{ - 6 + 2}{ - 2}   =   \frac{ - 4}{ - 2}  = 2 \\

We have the final answer as

<h3>2</h3>

Hope this helps you

6 0
3 years ago
The Clark family and the Lee family each used their sprinklers last summer. The water output rate for the Clark family's sprinkl
SpyIntel [72]
Each where used for 25 hours
6 0
3 years ago
Read 2 more answers
IN (3)
svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) y  =2x +5

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) =  (2,9)

(x_1,y_1) =  (10,25)

So, we have:

m = \frac{25 - 9}{10 - 2}

m = \frac{16}{8}

m=2

The equation is calculated using:

y - y_1 =m(x - x_1)

Using:

(x_1,y_1) = (6,17)

We have:

y - 17 =2(x - 6)

y - 17 =2x - 12

Make y the subject

y  =2x - 12+17

y  =2x +5

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

y  =2x +5

8 0
3 years ago
Write y=2x^2+12x+14 In vertex form
ratelena [41]

Answer:

\large\boxed{y=2(x+3)^2-6}

Step-by-step explanation:

The vertex form of a parabola f(x) = ax² + bx + c:

y=a(x-h)^2+k

(h, k) - vertex

h=\dfrac{-b}{2a}\\\\k=f(h)

We have the equation:

y=2x^2+12x+14\\\\a=2,\ b=12,\ c=14\\\\h=\dfrac{-12}{2(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+12=2(9)-36+12=18-36+12=-6

Finally:

y=2(x-(-3))^2+(-6)=2(x+3)^2-6

7 0
3 years ago
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