help wrong answers reported​

Answer:

The equation of the parabola is;

x = -(1/4)·(y - 4)² + 3

Step-by-step explanation:

The given focus of the parabola is f = (2, 4)

The directrix of the parabola is x = 4

The vertex form of the equation of the parabola can be expressed as follows;

x = a·(y - k)² + h

(y - k)² = 4·p·(x - h)

Where;

(h, k) = The vertex of the parabola

(h + p, k) = The focus of the parabola

x = h - p = The directrix

Therefore, k = 4

h + p = 2...(1)

h - p = 4...(2)

∴ 2·h = 6

h = 6/2 = 3

From equation (1), we have;

p = 2 - 3 = -1

p = -1

From the equation of the parabola in the form, (y - k)² = 4·p·(x - h), we have;

The equation of the parabola is (y - 4)² = 4 × (-1) ·(x - 3)

Therefore, we have;

(y - 4)² = -4·x + 12

4·x = 12 - (y - 4)²

The equation of the parabola is x = -(1/4)·(y - 4)² + 3

y² -8·y + 16 = -4·x + 12

4·x = 8·y - y² - 16 + 12 = 8·y - y² - 4

x = 2·y - y²/4 - 1 = -y²/4 + 2·y - 1

The equation of the parabola can also be written in the form

x = -y²/4 + 2·y - 1 = -0.25·y² + 2·y - 1

Answer: A

Step-by-step explanation:

Answer:

c because 3.3.3.3 is 3 to the 4th power expanded

Answer:

Each litters can be represented as; x and y respectively to the 7% and the 28%

x + y =1

7x + 28y =19.6

This a simultaneous equation and can either be solved by using elimination or substitution method

Using the substitution method

eqn1, x=1-y

putting into eqn2

7(1-y)+28y =19.6

7-7y+28y=19.6

21y=12.6

y=3/5

but x=1-y

so

x=1-3/5

x=2/5

Answer:

In the graph, we can see that the relation between length and weight is given by the adjusted line, which passes through the points (24, 16) and (28, 25)

Remember that a linear relation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be calculated as:

a = (y₂ - y₁)/(x₂ - x₁)

Then in our case, the slope will be:

a = (25 - 16)/(28 - 24) = 9/4

y = (9/4)*x + b

Knowing that this line passes through (24, 16), we know that when x = 24, y must be equal to 16.

If we replace these in the equation, we can find the value of b.

16 = (9/4)*24 + b

16 = 54 + b

16 - 54 = b - 38

Then the equation is:

y = (9/4)*x - 38

Now that we know the equation, we can simply replace y by 34 pounds to find the value of x.

34 = (9/4)*x - 38

34 + 38 = (9/4)*x

72*(4/9) = x = 32

So we can estimate that the length of a fish that weighs 34 pounds is 32 (I do not know the unit of length, I can't see the horizontal axis on the image)

Step-by-step explanation:

3 coffees + 2 muffins = $7

therefore,

[tex]3x + 2y = 7[/tex]

2 coffees + 4 muffins = $8

therefore,

[tex]2x + 4y = 8[/tex]

Answer:

i think in every coast we're adding two shillings in the first sentence the total was 5 and we paid $7 and in the second sentence the total was 8 dollars meaning we added to shillings.

Step-by-step explanation:

in my school we are taughtthat we shouldn't mix goats with sheeps so we this the same way we can't mix x and y so in my opinion I guess you can say x + y =to that amount of money at the end you paid if it's 8 dollars or 7 dollars. we can say x represents the coffees and y represents the muffins that's how I get it I hope you want to be angry with me. for example 3 + 2 equals to 7 .3 + 2 is 5 so we'll carry five to the other side of equals where we will make it be minus so we'll say 7 - 5 where will get 2

Answer:

Step-by-step explanation:

An absolute value of |x| {modulus of x} is the value of a real number x. The given equation is not true.

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.

A hypothesis is a speculative conclusion or assertion that is made without proof. Now, to prove that the given equation is not true substitute the value of both the variables as -1. Therefore,

x = y = -1

Substitute the value on the left side of the equation,

|x - y|

= |-1 - (-1)|

= |-1 + 1|

= |0|

= 0

Substitute the value on the right side of the equation,

|x| - |y|

= |-1| - |-1|

= 1 + 1  

= 2

Since the left and the right side of the equation is not satisfied, therefore, it can be concluded that the given equation is not true.

Learn more about Absolute value here:

https://brainly.com/question/1301718

#SPJ5

Answer:

D 5.46 x 10^10

Step-by-step explanation:

Recall that  speed is the rate of change of distance with time and may be expressed mathematically as

speed = Distance/time

Distance = speed * time

Hence given that the speed of light

= 3 × 10^8 meters per second

Time taken for light to travel between the given distance

= 1.82 × 10^2 seconds

substituting the given values

Distance = 3 × 10^8 * 1.82 × 10^2

= 5.46 * 10^(8+2)

= 5.46 * 10^10 meters

Answer:

20,19,18

Step-by-step explanation:

because you have to go backwards

Answer:

I think the answer is A 64cm cubed

Answer:

this is not a right triangle

Step-by-step explanation:

^  = squared

The formula forthe Pythagorean theorem is    a^+ b^   = c^

If this is a right triangle this must be true

6^ +    8^   =   14^

36 + 64 =  196

100  is not equal to 196

So this is not a right triangle

I would say its the second one.

the student shouldve distributed the 2^3x+3 into 2^3x+9

Answer:

(D) 3/10

Step-by-step explanation:

So its split into 10 different rates each and its on the third split So 3/10.

Answer:

− 3 = − 14

Step-by-step explanation:

Hope this helps !

Answer:

3a-2a+7-4

a+3

Step-by-step explanation:

like and unlike terms arranging

and add and subtraction

Answer: 113.1 i think sorry im bad at pi U_U

Step-by-step explanation:

Answer:

113.04

Step-by-step explanation:

Where rinding area so do the formula

A = Pi×r²

A = 3.14×36

A= 113.04

Answer:

x = 5°

EF = 58°

GH = 55°

Step-by-step explanation:

From The diagram :

Recall ; Angle on a straight line = 180°

This means :

EF + FG + GH = 180

EF = (10x + 8)°

GH = (11x)°

FG = 67°

HENCE;

10x + 8 + 11x + 67 = 180

21x + 75° = 180°

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

EF = 10x + 8 = 50 + 8 = 58°

GH = 11x = 11 * 5 = 55°

Answer:

12y2

Step-by-step explanation:

Answer:

m = - 6 :)

Step-by-step explanation:

Answer: b im pretty sure hope this helps :)

Step-by-step explanation:

Answer:

A: x = -4

B: a = -7 (I'm assuming the '-' in front of 49 was supposed to be an '=')

Step-by-step explanation:

A: You need to group the like terms together, and isolate the variable, which in this case is x.

Take the 7 over to the other side, so the equation looks a little bit like this.

3-7 = x.

3-7 is -4, so we've gotten our answer.

x = -4.

B: -7a = 49.

When two negative numbers are multiplied together, the product becomes positive.

49 is 7x7.

-7 times -7 would be 49.

So, in this situation, a would be -7.

a = -7.

Answer:

The answer is G. 5/3

Step-by-step explanation:

I used the elimination process and multiplied the second equation by three which allowed me to cancel out the positive and negative three y's.

6x+3y=13

(3x-y=4)*3

6x+3y=13

9x-3y=12

6x+9x=15x

13+12=25

15x=25

15x/15=25/15

By dividing, the fifteens on the left cancel out leaving:

x=1.66667 or 1 2/3 = 5/3

I hope this helps. :)

Answer:

What is it love ?

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Given the definitions of f(x) and g(x) below,

f(x) = x^2+ x + 10

g(x) = -5x-3

f(g(x)) = f(-5x-3)

f(-5x-3) = (-5x-3)²+((-5x-3)+10

f(-5x-3) = 25x²+30x+9-5x-3+10

f(-5x-3) = 25x² +25x+16

f(g(x)) = 25x² +25x+16

f(g(-1)) = 25(-1)² +25(-1)+16

f(g(-1)) = 25-25 + 16

f(g(-1)) = 16

Hence f(g(-1)) is 16

Answer:

b

Step-by-step explanation:

its a negative slope, so you can eliminate c and d. even though the scale is 2, the slope always pertains to $1 increase and not $2 increase.

Answer:

9.1 units

Step-by-step explanation:

formula of a distance of two points:

[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex] where x and y indicate the coordinates of the points

[tex]\sqrt{(4+5)^2 + (-1)^2} = \sqrt{81 + 1} = \sqrt{82} = 9.1 units[/tex]

Answer:

12.054 < 12.54

Step-by-step explanation:

12.054 is less than 12.54 because it has a zero in the tenths place, and 12.54 has a five in the tenths place! Always check the first spot after the decimal first. Best of luck<3

Answer:

12.054 < 12.54

Step-by-step explanation:

Answer:

Its cost about 1.5625

if you rounded its 1.56 :)

Step-by-step explanation:

Answer:

c y=6x+4

Step-by-step explanation: