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FinnZ [79.3K]
2 years ago
12

Work out the lengths of b of 17cm and 12cm pythagoras

Mathematics
1 answer:
natima [27]2 years ago
5 0

Answer:

hypotenuse =  \sqrt{ {17}^{2}  +  {12}^{2} }  \\  =  \sqrt{289 + 144 }  \\  =  \sqrt{433}

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Task 1:
laiz [17]

Answer:

The toy's maximum height is 10.12\ \text{feet}.

Step-by-step explanation:

The equation that models the toy's height in feet from the ground at t seconds after  he threw it is given by :

h = -2t^2 + 7t + 4 .....(1)

It is required to find the toy's maximum height. For maxima or minima, put

\dfrac{dh}{dt}=0

Plugging the value of t in above equation,

\dfrac{d(-2t^2 + 7t + 4)}{dt}=0\\\\-4t+7=0\\\\t=\dfrac{7}{4}\\\\t=1.75\ s

Now put t = 1.75 s in equation (1) such that,

h = -2(1.75)^2 + 7(1.75) + 4\\\\h=10.12\ \text{feet}

So, the toy's maximum height is 10.12\ \text{feet}.

4 0
3 years ago
The solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution? (0, 2) (2, 0) (1, −2) (−2, 1)
Brilliant_brown [7]

Answer:

(2,0)

Step-by-step explanation:

The solution of the inequality y>-3x+2 is shown in attached diagram.

The boundary line is dotted line, because the sign of inequality is without notion "or equal to". The dotted line means that points lying on this line are not solutions of the inequality. The solutions are those points lying in the shaded region.

From the points (0,2), (2,0), (1,-2), (-2,1) only point (2,0) lies on the shaded region, so only point (2,0) is a solution to the inequality

5 0
2 years ago
Read 2 more answers
Graph the following lines and write the equation in slope-intercept form. Through the point (2,−4) with y-intercept of −2.
CaHeK987 [17]

For this case we have that by definition, the equation in the form of slope-intersection is given by:


y = mx + b

Where

  • m is the slope
  • b is the cut point

Substituting the given point: (x, y) = (2, -4) and the cutoff point b = -2 we can find the slope,


We have:


-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m

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

Thus, the equation is given by:


y = -x-2

Answer:


y = -x-2

See attached image


3 0
3 years ago
The perimeter of the scalene triangle is 54.6 cm.
olchik [2.2K]

Answer:

b = 45.9 - c

Step-by-step explanation:

A scalene triangle has non of its sides equal.

Perimeter = 54.6

side a = 8.7 cm

side b = unknown

side c = unknown

Perimeter of a shape is sum of all its sides.

Perimeter = a + b + c

54.6 = 8.7 + b + c

Making b the subject

b = 54.6 - 8.7 - c

b = 45.9 - c

The value of b is (45.9 - c)

7 0
3 years ago
2x - 6y = 12<br> 2x – 4y = 8
Alenkasestr [34]

Answer:

true

Step-by-step explanation:

7 0
2 years ago
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