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bekas [8.4K]
3 years ago
12

A function is represented by the graph.

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0

Answer:

see the explanation

Step-by-step explanation:

we know that

The y-intercept is the value of the function y when the value of x is equal to zero

Part 1) we have

y=5x-6

For x=0

substitute in the linear equation and solve for y

y=5(0)-6

y=-6

therefore

The y-intercept is the point (0,-6)

Part 2) Find the  y-intercept of the function  represented in the graph

Looking at the graph

For x=0

Find the value of y in the graph

The value of y is equal to y=1

therefore

The y-intercept is the point (0,1)

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The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l
Verdich [7]

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

4 0
3 years ago
Help I need help asappp
timurjin [86]

Answer:

-32

Step-by-step explanation:

-32/-4 = 32/4 = 8

8 - 5 = 3

4 0
3 years ago
Read 2 more answers
Evaluate 3a2 4b2 for a = 2 and b = 3.
olasank [31]
Did you look on quizlet
5 0
4 years ago
How many books can be stacked on top of one another inside a cupboard 1.21 m high on the inside, knowing that the thickness of e
kvasek [131]

Answer:

10 books approx

Step-by-step explanation:

Step one:

Given data

Hight of cupboard= 1.21m

Thickness of book= 12.5cm

thickness in meters= 12.5/100= 0.125m

Required

The number of books need to fill the Cupboard

Step two:

the number of books can be computed as

= 1.21/0.125

=9.68 book

=10 books approx

4 0
3 years ago
A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the
frosja888 [35]

Answer:

A triangle with a hypotenuse of 15 cm may have side lengths of 10.607 cm.

Step-by-step explanation:

15^2=225

225/2=112.5

√112.5=10.607

5 0
3 years ago
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