PLEASE HELP Identify the slope (m)and y-intercept (b) of the linear function graphed below. Then, construct the linear equation for

Answer:

Neptune is 45 million so 1 million difference

Answer:

a) The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].

b) The height of the arch from the ground is 810 feet.

Step-by-step explanation:

Statement is incomplete. Complete statement is:

An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground.

Write an equation  that represents the arch.

What is the height from the top of the arch to the  ground?

a) Write an equation that represents the arch.

According to the statement, the archway is a vertical downward parabola. From Analytical Geometry we know that parabolas are represented by the following equation in standard form:

[tex]y-k = 4\cdot p\cdot (x-h)^{2}[/tex] (Eq. 1)

Where:

[tex]p[/tex] - Distance between vertex and focus, measured in feet.

[tex]x[/tex] - Independent variable, measured in feet.

[tex]y[/tex] - Dependent variable, measured in feet.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, measured in feet.

If we know that [tex]p = -2.5\,ft[/tex], [tex]h = 0\,ft[/tex] and [tex]k = 0\,ft[/tex], then the equation that represents the arch:

[tex]y = -10\cdot x^{2}[/tex]

The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].

b) What is the height from the top of the arch to the  ground?

Given that parabola is a symmetrical curve, we determine the vertical position at the base of the arch ([tex]x = 9\,ft[/tex]):

[tex]y_{min} = -10\cdot (9\,ft)^{2}[/tex]

[tex]y_{min} = -810\,ft[/tex]

Then, the height of the arch from the ground is given by this difference:

[tex]h = 0\,ft-(-810\,ft)[/tex]

[tex]h = 810\,ft[/tex]

The height of the arch from the ground is 810 feet.

Answer:

Budget A

Step-by-step explanation:

Total monthly budget is;

T = Rent cost + Personal Items cost + Entertainment cost +Savings cost

For budget A;

T_A = $200 + $120 + $100 + $250

T_A = $670

For budget B:

T_B = $200 + $120 + $300 + $50 = $670

Foe budget C;

T_C = $200 + $120 + $200 + $150

T_C = $670

For budget D;

T_D = $200 + $120 + $325 + $25 = $670

We can see the total budget for all is $670.

Her rent and personal expenses have fixed amounts. Thus, the only ones that can vary are Entertainment cost and Savings cost.

Now, in all the budgets, budget A has the highest savings which is $250.

Thus, we can say it's the best budget to help her meet her goals as it still provides $100 for even entertainment which she loves with her friends.

Answer:

budget A

Step-by-step explanation:

Answer:

(8 × 10) + (10 × 10) = 80 + 100 = 180 minutes

Step-by-step explanation:

It is given that, Jack reads his book for 8 minutes before school and 10 minutes after school.

No of days between Monday to Friday = 5

No of days between Monday to Friday in 2 weeks = 10

We need to find how many minutes Jack reads his book in two weeks.

For 10 days, before school = (8 × 10) min = 80 minutes

For 10 days, after school = (10 × 10) min = 100 minutes

It means, total time will be :

T = (8 × 10) min + (10 × 10) min

T = 80 + 100

T = 180 minutes

Hence, the correct option is (C).

Answer:

Sowy but try Mathwa y

Step-by-step explanation:

Answer:

X = 64/19

y equals -2/19

z =9/19

Step-by-step explanation:

its very hard to type in the explanation but I know the answer is right trust me I do a level maths

Answer:I think you make somthing like i think task one would be lets say (Av)task two would be like(Bx) and it would all end out like this C

Av+Bx=C

Step-by-step explanation:

Answer:

[tex]m=-3[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{5-(-1)}{-5-(-3)}[/tex]

[tex]m=\frac{5+1}{-5+3}[/tex]

[tex]m=\frac{6}{-2}[/tex]

[tex]m=-3[/tex]

Answer 6.

Step-by-step explanation:

Answer:

A.) 1

Step-by-step explanation:

A trapezoid only has one pair of parallel sides.

Answer:

26

Step-by-step explanation:

Take the second number and subtract the first number  and take the absolute value

| 11 - -15|

|11 +15|

|26|

26

Answer:

26 units apart

Step-by-step explanation:

Since we want the total change/distance, subtract and take the absolute value.

-15 - 11 = -26

|-26| = 26

Best of Luck!

Answer:

y=-3x+29

Step-by-step explanation:

y=mx+b or c

m=slope=-3

x=10

y=-1

input the given

-1=-3(10)+b

-1=-30+b

29=b

y=-3x+29

Answer:

D

Step-by-step explanation:

Answer:

i think its six :)

Answer:

it is SAS

Step-by-step explanation:

side angle side

triangle JKL is congruent to triangle JML

because they have two equal sides:

JL whitch is common in both of them and ML equal to KL

and the included angles are equal.

Answer:

Your answer is: A) True

( I say true because 1) .5 2) 7 are rational) ( I dont know about v16, if that is what it is supposed to say, then I cant quite tell)

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Hope this helped : )

Step-by-step explanation:

Hey there!

23 is a prime number.

Reason:

Prime number are those numbers which are divisible by 1 and itself.

Example: 5 is divisible by 1 and 5 only. so, it is a prime number.

Composite numbers are those numbers which are divisible by more number.

Example: 6 is divisible by 1,2,3,6 so, it is a composite number as it is divisible by others number expect 1 and itself.

Hope it helps...

23 is an example of a prime number because it has only two factors.

Hope this helps!

~Just a joyful teen

[tex](:GraceRosalia :)[/tex]

Answer:

9

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

set up a proportion

10/15 = 6/x

(or 12/18 = 6/x)

cross multiply:

10x = 90

x=9

Answer:

900

Step-by-step explanation:

Answer:

250.890

Step-by-step explanation:

Answer:

12 times.

Step-by-step explanation:

If she swims three times a week, then you need to find how many weeks make up 28 days. 28/7= 4 weeks. Since she swims three times a week, you multiple that by the amount of weeks, which is four. You get that she swims 12 times in 28 days.

Answer:

Audrey needs to collect 3 more coins.

Step-by-step explanation:

Since she already scored 53 points, we have to find out how many more points she needs to score 97.

So, 97-53=45 points.

The problem says that each coin Audrey collects is worth 22 points. Therefore, 45 divided by 22= 2 remainder 1. However, if she only collects two more coins, Audrey will only have 96 points in total, not 97.

So, add another coin to make 3.

Answer:

Answer is A.

Step-by-step explanation:

Hope it helps.

Answer:

a

Step-by-step explanation:

EDGE 2020

Answer:

eiffel tower - 984ft

leaning tower of pisa - 180

Step-by-step explanation:

2x+804=1164

   -804    -804

2x = 360

divide both sides by 2

x = 180

eiffel - 180 + 804

pisa - 180

Answer:

Then change in time divide by the change in Temperature

Answer:

slope is -4

Step-by-step explanation:

To find the slope with points, you do (y2-y1)/(x2-x1)

4-(-8)=12

0-3=-3

12/-3=-4

Answer:

x = -2

Step-by-step explanation:

That's really it, since it's a vertical line.

Answer:

The equation of vertical line, parallel to y-axis is

x + k=0

Here, the line passes through the point (–2,–9)

So, –2 + k = 0

=> k = 2

The required equation be, x + 2 = 0

Answer:225

Step-by-step explanation: