1
Select all relations that are functions from the choices below

Answer:

x=5/2 and y=3

Step-by-step explanation:

since AC is a perpendicular bisector, BC=CD

[tex]6x-6=3y[/tex] so [tex]6x=3y+6[/tex]

if AC = a

using pythagorean theorem:

[tex](6x-6)^2 + a^2 = (6x+1)^2[/tex]

[tex](3y)^2 + a^2 = (5y+1)^2[/tex]

simplifies to:

[tex]36x^2-72x+36+a^2=36x^2+12x+1[/tex]

[tex]9y^2+a^2=25y^2+10y+1[/tex]

further simplifies to:

[tex]84x-35=a^2[/tex]

[tex]16y^2+10y+1=(8y+1)(2y+1)=a^2[/tex]

so we now have

[tex]84x-35=(8y+1)(2y+1)[/tex]

plugging the first equation in we get

[tex]42y+84-35=(8y+1)(2y+1)=16y^2+10y+1[/tex]

[tex]42y+49=16y^2+10y+1[/tex]

[tex]16y^2-32y-48=0[/tex]

[tex]y^2-2y-3=0[/tex]

[tex](y-3)(y+1)=0[/tex] so [tex]y=-1, y=3[/tex]

y=-1 is impossible, so y=3

therefore x=15/6=5/2

Answer:

24/25

Step-by-step explanation:

Step 1: Define systems of equation

10x - 16y = 12

5x - 3y = 4

Step 2: Rewrite one of the equations

5x = 4 + 3y

x = 4/5 + 3y/5

Step 3: Solve for y using Substitution

Step 4: Substitute y back into an original equation to solve for x

Step 5: Check to see if solution set (14/25, -2/5) is a solution.

Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.

Step 6: Find x - y

x = 14/25

y = -2/5

Hope this helped! :)

Answer:

[tex]\displaystyle x-y=\frac{24}{25}[/tex]

Step-by-step explanation:

We are given the system:

[tex]\left\{ \begin{array}{ll} 10x-16y=12 & \quad \\ 5x-3y=4& \quad \end{array} \right.[/tex]

And asked to find the value of x - y if (x, y) is a solution to the above system.

Thus, let's solve the system. We can use eliminiation

We can see that the coefficients of x share a LCM.

Multiplying the second equation by negative two yields:

[tex]\left\{ \begin{array}{ll} 10x-16y=12 & \quad \\ -10x+6y=-8 & \quad \end{array} \right.[/tex]

Adding the two equations yields:

[tex](10x-10x)+(-16y+6y)=(12+(-8))[/tex]

Simplify:

[tex]-10y=4[/tex]

Solve for y:

[tex]\displaystyle y = \frac{4}{(-10)} = -\frac{2}{5}[/tex]

To find x, substitute y for either equation and evaluate. The second equation states that:

[tex]5x-3y=4[/tex]

Substitute:

[tex]\displaystyle 5x-3\left(-\frac{2}{5}\right)=4[/tex]

Multiply:

[tex]\displaystyle 5x+\frac{6}{5}=4[/tex]

And solve for x:

[tex]\displaystyle \begin{aligned} 5x+\frac{6}{5} &= 4 \\ \\ 5x &= \frac{14}{5} \\ \\ x &= \frac{14}{25}\end{aligned}[/tex]

Hence, our solution to the system is:

[tex]\displaystyle \left(\frac{14}{25},- \frac{2}{5}\right)[/tex]

We want to find the value of:

[tex]x-y[/tex]

Substitute:

[tex]\displaystyle = \left(\frac{14}{25}\right) - \left(-\frac{2}{5}\right)[/tex]

Evaluate. Hence:

[tex]\displaystyle x - y = \frac{24}{25}[/tex]

And we're done!

Answer:

B

Step-by-step explanation:

Complementary means that when added up two angles will equal 90° so 90-15=75 means that B is the correct answer.

Answer:

hm 2

Step-by-step explanation:

Answer:

the answer is 1 I'm pretty sure lol

Answer:

Go to

Step-by-step explanation:

Ull find the answer there

Answer:

B

Step-by-step explanation:

I used the graphing calculator on desmos

Answer:

f(-6) = 22

Step-by-step explanation:

[tex]f(x)=-3x+4\\\\f(-6)=-3(-6)+4\\\\f(-6)=18+4\\\\\boxed{f(-6)=22}[/tex]

Hope this helps.

Answer:

205/3 meters or 68.33 meters

Step-by-step explanation:

Perimeter = 2W + 2L

L = 2W - 5

230 = 2W + 2(2W - 5)

230 = 2W + 4W - 10

230 = 6W - 10

220 = 6W

W = 110/3 or 36.67 m

Add the Width into the formula for L to find the length

L = 2(110/3) - 5

L = 205/3 m or 68.33 m

Answer:

a. 21,250

b. 59,826

Step-by-step explanation:

hope this helps :)

Answer:

6.3e-8

Step-by-step explanation:

Answer:

B. 13 Hours

Step-by-step explanation:

Answer:

32 m^2

Step-by-step explanation:

First find the real dimensions of the dining hall

The scale factor is 4m /3 cm

6 cm * 4m / 3cm = 8 m

3 cm *  4m / 3cm = 4 m

The area of the dining hall is

A = l*w

A = 8m * 4m = 32 m^2

Answer: No

Step-by-step explanation: The two variable, lets say that y = x5

This is an ex. of. a related function

If its and inequality, ex. y < x5 This can not be a function for it doesnt have an equal sign

AAnswer:

Step-by-step explanation:

J

Answer:

Not C

Step-by-step explanation:

Did on edge

Answer: it’s B) 63

Step-by-step explanation:

On edge 2021

Answer:

1/13x + 35/13

Step-by-step explanation:

9514 1404 393

Answer:

  b.  11 years

Step-by-step explanation:

Since we're interested in the time going forward, we can write the expnential function for Rosa's balance as ...

  y = 4500(4500/2000)^(x/6)

where x is the number of years from now, and y is the balance at that time.

  20,000 = 4,500(2.25^(x/6))

Dividing by 4500, we get ...

  40/9 = 2.25^(x/6)

  log(40/9) = (x/6)log(2.25) . . . . take logs

  x = 6·log(40/9)/log(2.25) ≈ 11.037 . . . . divide by the coefficient of x

It will take 11 more years for Rosa to have $20,000 in the bank.

_____

Comment on the exponential function

You can generally write an exponential function for a question of this sort pretty easily. The form of it is ...

  f(t) = (initial value)×(growth factor)^(t/(growth period))

Here, we're given a growth factor of 4500/2000 = 2.25 corresponding to a period of 6 years. This tells us t is in years, and the exponential term will be ...

  2.25^(t/6)

The "initial value" we choose corresponds to t=0. Since we want 'years from now', the "initial value" will be the value in the account now, 4500.

Answer:

B 11 years

Step-by-step explanation:

Answer:

1/2 pound

1 ounce

17,000 mcg

10grams

0.4

12 mg

Answer:

it is B and D that is the answer

9(x + 2)

Hi !

6(x+4)+3(x−2) =

= 6x + 24 + 3x - 6

= 6x + 3x + 24 - 6

= 9x + 18

= 9(x + 2)

Good luck !

Answer:

Really?!?! Welp I'm here for it.

Step-by-step explanation:

2(b + 6) - 7 <= -3b - 30

Let's distribute the 2.

2b + 12 - 7 <= -3b - 30

Combine like terms.

2b + 5 <= -3b - 30

Subtract 2b from both sides and add 30 to both sides.

35 <= -5b

Divide both sides by -5.

-7 >= b

We had to flip the sign because we divided by a negative number.

This means that b <= -7. D is correct.

Answer:

It has a slope of zero because the change in the y-values is 0.

Step-by-step explanation:

The line passes through points (9, 30) and (18, 30) and has a slope of zero because the change in the y-values is 0.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through the points (9, 30) and (18, 30).

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

∴ Slope(m) = (30 - 30)/(18 - 9).

Slope(m) = 0/9.

Slope(m) = 0.

The line has a slope of zero because the change in the y-values is 0.

So it must be a line parallel to the x-axis.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Answer:

The vertex is

✔ (2, 8)

The directrix is y =

✔ 8.125

The focus is

✔ (2, 7.875)

The focal width is

✔ 0.5

Step-by-step explanation:

got it correct on the assignment on edge 2020

Answer:

(2, 8)

8.125

(2, 7.875)

0.5

Step-by-step explanation:

correct on edge

Answer:

acute hope it helps

Step-by-step explanation:

mark as brainiest

Construction of 30° acute angle

Answer:

Step-by-step explanation:

Total amount earned by Tamiko = $234.80+$64+$20

Total amount earned by Tamiko = $318.80

If she spend One-fourth of her income on car insurance,amount she budgeted for car insurance = 1/4×$318.80 = $79.7

Let assume one third of her income is budgeted on gasoline, the amount budgeted for gasoline = 1/3× $318.80 = $106.27

Also let assume one-fifth is budgeted on savings, amount spent on savings = 1/5×$318.80 = $63.76

If the rest is on spending, fraction if the rest will be 1-(1/4+1/3+1/5)

= 1-(15+20+12)/60

= 1-47/60

= 13/60

This means that she can spend 13/60 of her total budget according to her spending.

Note that the fraction budgeted on savings and gasoline are assumed. You can use any other fraction and use the same method in the calculation to get the required fraction she spent.

Answer:

1/5

Step-by-step explanation:

To find how much of a meter she used per bow, divide 4 by 20, since she used 4 meters for 20 bows:

4/20

= 0.2 or 1/5

So, she used 1/5 of a meter for each bow

Answer:

15

Step-by-step explanation:

Answer:

3 pages per minute

Step-by-step explanation:

Half an hour is eqquivalent to 30 minutes, so we do 90 (pages) / 30 (minutes) = 3--> Wich means that Henry can read 3 pages per minute.

Answer:

Henry reads 3 per minute

Step-by-step explanation:

There is 30 mins in half an hour

so divide 90/30

and you get 3