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4 years ago

Please help me with the question below

Mathematics

1 answer:

den301095 [7]4 years ago

5 0

Answer:
15 feet

Explanation:
Triangle ABC is similar to triangle EDC, meaning they would’ve been congruent if it weren’t for their size.
This also means they don’t have the same side lengths but have the same proportions in comparison to each other.

The sides on the two triangles also correspond with each other. For example, line DC corresponds with line BC.
Knowing that, we can conclude that line ED also corresponds with line AB. Line ED is 12 ft and line AB is 4 ft. To get from 4 to 12, you multiply 3 (4*3=12).

Line EC also corresponds to line AC. So to calculate for line EC, we multiply the length of line AC by 3. 5*3=15, so therefore line EC is equal to 15.

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The graph show is

Alinara [238K]

First Answer:
A)fails the vertical line test at (2,3) and (2,-2)

Second Answer:
B) not a function
=========================================

Further Explanation:

It is possible to pass a single vertical line through this red curve. So it is not a function because it fails the vertical line test. One specific line goes from (2,3) to (2,-2) but there are infinitely other lines to choose from. In order to pass the vertical line test, it must be impossible to pass a vertical line through more than one point on the curve. A function is where any given input leads to exactly one output. In the case of (2,3) and (2,-2), the input x = 2 leads to more than one output (y = 3 and y = -2) at the same time

3 0

4 years ago

Find the equation of the line of the circle passing through the points (1,2) (3,-4) (5,-6)

Cerrena [4.2K]

Answer:

(x-11)² + (y-2)² = 10²

Step-by-step explanation:

Given circle passes through

P(1,2), Q(3,-4), R(5,-6)

Assume following circle with centre O(a,b) and radius r contains P,Q,R.

(x-a)²+(y-b)² = r^2 ...........(1)

Substitute P in (1) and expand, simplify

(1-a)²+(2-b)²=r²

a²+b² -2a-4b+5-r²=0 .......(2)

Similarly, substitute Q in (1) and expand, simplify

(3-a)²+(-4-b)² = r²

a²+b²-6a+8b+25-r²=0 ...........(3)

Similarly, substitute R in (1) and expand, simplify

(5-a)²+(-6-b)² = r²

a²+b²-10a+12b+61-r²=0 ...........(4)

We can now eliminate a^2 and b^2 by simple subtractions

(2) - (3)

4a-12b-20 = 0 ..........(5)

(3) - (4)

4a-4b-36 = 0 .............(6)

Finally, (6) - (5) and solve for b

8b - 16 = 0

b=2 ..............................(7)

substitute b in (5) and solve for a

4a-12(2) -20 =0

4a=44

a=11 ................................(8)

Finally, substitute a & b in (2) to solve for r

r^2 = 11²+2²-2*11-4*2+5 = 121+4-22-8+5 = 100

r=sqrt(100) = 10 (positive value only)

therefore the equation of the circle is

(x-11)² + (y-2)² = 10²

6 0

3 years ago

What is the input-output table for the function f(x) = 3x^2-x+4

mojhsa [17]

Answer:

Step-by-step explanation:

The input-output table can be made by putting value of x and finding the value of f(x)

f(x) = 3x^2-x+4

f(0) = 3(0)^2-0+4 = 0-0+4 = 4

f(1) = 3(1)^2-1+4 = 3-1+4 = 2+4 =6

f(2) = 3(2)^2-2+4 = 3(4)-2+4 = 12-2+4 = 10+4 = 14

f(3) = 3(3)^2-3+4 = 3(9)-3+4 = 27-3+4 = 24+4 = 28

So put value of x and find f(x) and fill the input-output table.

x f(x)

0 4

1 6

2 14

3 28

3 0

3 years ago

A bag contains 60 marbles, some blue and some green. the ratio of blue marbles to green ones is 1:5. how many blue marbles are t

IceJOKER [234]

There is 45 blue marble and there is 15 green marbles

How because 1.5= to 0.15 and you just need to 15-60=45
So the best answer would be 45

Answer 45

Hope it helps and God bless you

7 0

3 years ago

Lily has 3 dog toys that are red. one fourth of all her dog toys are red. how many dog toys does lily have?

strojnjashka [21]

So she has <span>12 dogs toys because if she has three dogs and they are a fourth of the total you can just multiply 3 four times.

do you get it?

i hope i helped
</span>

8 0

4 years ago

Read 2 more answers