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3 years ago

What is the value of X A 21 B 41 C 20 D 22

Mathematics

1 answer:

White raven [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Let the bottom be y for the small triangle

So the total length of the bottom is 2y

We can use ratios to solve

x-1 1y

----- = --------

42 2y

Canceling the y's

x-1 1

----- = --------

42 2

Using cross products

2(x-1) = 42

Divide by 2

x-1 = 21

Add 1 to each side

x-1+1=21+1

x = 22

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Determine whether the graph represents a function . If it does represent a function , give its domain and range.

laiz [17]

Answer:

A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)

Such that each element in the domain can be mapped into only one element from the range.

Let's see graphs 18, 20,24 and 30.

Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)

18) Here we can see that the point x = 1 his mapped into two different values of y.

we have the pair (1, 2) and the pair (1, -3)

And something similar happens for x = 2.

Then we can conclude that this is not a function.

20) Here we have a linear relationship.

Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.

Linear equations can be written as:

y = a*x + b

So x can be any value, and thus y also can be any value.

Then the domain is the set of all real numbers, and the range is the set of all real numbers.

24) Here we have a quadratic function whose arms go down.

This is a function, now let's see the domain and range.

Quadratic functions are written as:

y = a*x^2 + b*x + c

There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.

Now, let's look at the graph.

We can see that the function goes up, reaches a maximum, and then goes down again.

Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:

y ∈ (-∞, 15]

or simply:

y ≤ 15.

30) Here again, we can see that for x = 0 there are two different values of y.

the same happens for x = -1, x = -2, and a lot of other values.

Then this is not a function, because it is mapping values of the domain into different values of the range.

3 0

3 years ago

The braking distance, in feet of a car a Travling at v miles per hour is given.

irakobra [83]

The braking distance is the distance the car travels before coming to a stop after the brakes are applied

a. The braking distances are as follows;

The braking distance at 25 mph, is approximately 63.7 ft.

The braking distance at 55 mph, is approximately 298.35 ft.

The braking distance at 85 mph, is approximately 708.92 ft.

b. If the car takes 450 feet to brake, it was traveling with a speed of 98.211 ft./s

Reason:

The given function for the braking distance is D = 2.6 + v²/22

a. The braking distance if the car is going 25 mph is therefore;

25 mph = 36.66339 ft./s

$D = 2.6 + \dfrac{36.66339^2}{22} = 63.7 \ ft.$

At 25 mph, the braking distance is approximately 63.7 ft.

At 55 mph, the braking distance is given as follows;

55 mph = 80.65945 ft.s

$D = 2.6 + \dfrac{80.65945^2}{22} \approx 298.35 \ ft.$

At 55 mph, the braking distance is approximately 298.35 ft.

At 85 mph, the braking distance is given as follows;

85 mph = 124.6555 ft.s

$D = 2.6 + \dfrac{124.6555^2}{22} \approx 708.92 \ ft.$

At 85 mph, the braking distance is approximately 708.92 ft.

b. The speed of the car when the braking distance is 450 feet is given as follows;

$450 = 2.6 + \dfrac{v^2}{22}$

v² = (450 - 2.6) × 22 = 9842.8

v = √(9842.2) ≈ 98.211 ft./s

The car was moving at v ≈ 98.211 ft./s

Learn more here:

brainly.com/question/18591940

8 0

2 years ago

Please helpppp meee !!!!

Marta_Voda [28]

Answer:

y=-9x+193

Step-by-step explanation:

Its decreasing by 9, and 175+(9x2) is 193

6 0

2 years ago

Read 2 more answers

There were 200 melons in a box and they were distributed to 3 children in the ratio of 4:3:3. The first child sold the melons at

Elena L [17]

Answer:

$460

Step-by-step explanation:

let the number of melons be x

4x + 3x + 3x = 200 melons

10x = 200 so, x will be 20

4x = 80 melons

3x = 60

amount made by 1st child = 80 × $2 = 160$

the remaining melons are 60 + 60 = 120

amount collected: they sold them in groups of 2 and each group was $5. so,

120÷2 × $5 = $300

total amount = 300 + 160 = $460.

6 0

3 years ago

The line contains the point (-2,-5) and is parallel to 2x-3y = 9. What’s the equation

Karolina [17]

Answer:

y=(2x/3)-(11/3)

Step-by-step explanation:

https://www.emathhelp.net/calculators/algebra-1/parallel-and-perpendicular-line-calculator/

7 0

3 years ago