Solve and in standard form please. you must add. this is from khan academy

Mathematics

2 answers:

Sindrei [870]3 years ago

8 0

We are asked to sum the two trinomials $(-4f^3-5f+16)+(4f^2-f+9)$ . We can start by using the distributive property to remove the parenthesis, giving us $-4f^3-5f+16+4f^2-f+9$ . Next, when we combine like terms, we get $\boxed{-4f^3+4f^2-6f+25}$ . Hope this helped!

Ganezh [65]3 years ago

4 0

Hey there,

I wont be able to do it step by step because I have to leave real soon, But I really want to help you because this does look very hard. I used a calculate because I'm being rushed. Your answer would be in the attachment I left. I hope that would be the correct answer. You have a good week-end "Morganfredieu"

~Twizzie

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Two planes are the same altitude. From the airport , one plane is 50 km away in the direction of N°60 E and another is 80 km awa

djverab [1.8K]

9514 1404 393

Answer:

78.5 km

Step-by-step explanation:

Measured at the airport, the angle between the two planes is ...

180° -60° -50° = 70°

The law of cosines tells us the distance between the planes is ...

d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km

The planes are about 78.5 km apart.

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2 years ago

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trasher [3.6K]

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3 years ago

Read 2 more answers

8-6x>-18 solve for x

EleoNora [17]

Answer:

x=5

Step-by-step explanation:

Well all i did was guess a random number from 1-10 so I could see what numbers make the equation bigger than -18 and the fist thing I guessed was 5 so this is what I did

8-6*5=-22

And them I said let me see if any multiples equal -18 so I went to for and did this

8-6*4=-16

That's when I guessed the answer if i looked at the sign correctly!

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3 years ago

The coordinate plane below represents a town. Points A through F are farms in the town. graph of coordinate plane. Point A is at

gayaneshka [121]

I made my own graph using the given points. Pls. see attachment.

Part A: Using the graph above, create a system of inequalities that only contains points D and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above.

I used paint program to graph the points based on the given data.
I used a ruler as guide as I draw my line containing both points D and F and extended the line outward.
The yellow lines above represents the shaded portion of the graph.

y = mx + b

b is the y-intercept. It is the value of y when x is 0. In this case, b = 3.5
m is the slope. It is the change in y divided by the change in x.
point D (2,4) ; point F (-2,3)
change in y: 4 - 3 = 1
change in x: 2 - (-2) = 4
m = 1/4

y = 1/4 x + 3.5

Since we are looking for a system of inequality and the portion shaded is in the upper part of the line, the value of y will be greater than or equal to.

y ≥ 1/4x + 3.5

Part B: Explain how to verify that the points D and F are solutions to the system of inequalities created in Part A.

To check the solution given above. We will use the x values of points D and F and check whether its y values are equal to or greater than the solution.

y ≥ 1/4x + 3.5

Point D (2,4) : x = 2 : y ≥ 1/4 * 2 + 3.5 → 0.5 + 3.5 → 4
Point F (-2.3): x = -2 ; y ≥ 1/4 * -2 + 3.5 → -0.5 + 3.5 → 3

Part C: Chickens can only be raised in the area defined by y > 2x − 2. Explain how you can identify farms in which chickens can be raised.

y > 2x - 2

We will get the coordinates of each point and see if its x value will generate the desired value of y.

A(2,-3) ; x = 2 : y > 2(2) - 2 → 4 - 2 → 2 . DID NOT PASS. -3 is lesser than 2.
B(-3,-4) ; x = -3 : y > 2(-3) - 2 → -6 - 2 → -8. PASSED. -4 is greater than -8.
C(-4,2) ; x = -4 : y > 2(-4) - 2 → -8 - 2 → -10. PASSED. 2 is greater than -10.
D(2,4) ; x = 2 : y > 2(2) - 2 → 4 - 2 → 2. PASSED. 4 is greater than 2.
E(3,1) ; x = 3 : y > 2(3) - 2 → 6 - 2 → 4. DID NOT PASS. 1 is lesser than 4.
F(-2,3) ; x = -2 ; y > 2(-2) - 2 → -4 - 2 → -6. PASSED. 3 is greater than -6.

Among the farms, points B,C, D, and F can raise chickens based on the given system of linear inequality.