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4 years ago

Is the following relation a function?

Mathematics

1 answer:

Elina [12.6K]4 years ago

8 0

No, because:

$f(1)\ne f(1)$

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Can someone help me do this with working pls

ycow [4]

∵ the two triangles are congruent

AB / AD = BC / DE
8/4 = 6/ DE
DE = 6 x 3 ÷ 8 = 3 cm

4 0

3 years ago

You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

Speed of boat in still water $=14\ ms^{-1}$

Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

3 0

3 years ago

May you please help me figure out every angle?

djyliett [7]

Answer:

<D = 82°

<E = 49°

<F = 49°

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same length which means the 2 bottom angles are the exact same which means we can set them equal to each other to solve for it.

8 0

3 years ago

Which graph best represents the relationship between time and the average mass?

natita [175]

The second graph or the letter B

3 0

3 years ago

What value of x makes the equation true? 16 + (18 + 10) = (x + 18) + 10 x = ?

choli [55]

Answer:

See below

Step-by-step explanation:

16 + (18 + 10) = (x + 18) + 10x

16 + 28 = (x + 18) + 10x Add like terms in the parentheses

44 = (x + 10x) + 18 Use the community property to regroup like

terms

44 = 11x + 18 Simply

-18 = -18 Substract 18 from both side

26 = 11x Simply

26 = 11x Divide by 11

11 11

$2\frac{4}{11} = x$ Reduce

3 0

2 years ago