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3 years ago

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

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