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tester [92]
3 years ago
6

Find the area bounded by the curves x = 2y2 and x = 1 - y. Your work must include an integral in one variable.

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

Hello,

in order to simplify, i have taken the inverses functions

Step-by-step explanation:

\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\

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Help me find the slope of the line please
Mrrafil [7]

Answer: 3/4


Step-by-step explanation:


6 0
3 years ago
Trapezoid ABCD has vertices A(1,6) B(-2,6) C(-10,-10) and D(20,-10). Find the measure of ABCD’s midsegment to the nearest tenth
Elina [12.6K]

Answer:

16.5 units

Step-by-step explanation:

The midsegment is the distance between the midpoints of the nonparallel sides of the trapezoid.

The trapezoid ABCD has vertices A(1,6) B(-2,6) C(-10,-10) and D(20,-10).

We want to find the midsegment of ABCD to the nearest tenth.

The midpoint of BC is;

( \frac{ - 2 +  - 10}{2} , \frac{6 +  - 10}{2} ) = ( - 6, - 2)

The midpoint of AD is :

( \frac{1 +  20}{2} , \frac{6 +  - 10}{2} ) = ( 10.5, - 2)

The length of the midsegment is the distance from (-6,2) to (10.5,2)

=   |10 .5 -  - 6|  = 16.5

4 0
3 years ago
Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 pe
timofeeve [1]

A,B,C,D i.e. all statements are true!

<u>Step-by-step explanation:</u>

According to question, Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 per week to cover her expenses. The inequality for above scenario will be :

15x + 10y\geq 300 where, x is number of necklaces & y is number of bangles.

A.

Lynn will meet her goal if she sells 12 bangles and 12 necklaces. i.e. x=12 and y=12 , putting values inequality : 15(12) + 10(12)  = 300 which follows inequality . True statement!

B.

Lynn will meet her goal if she sells 20 bangles and 6 necklaces.

putting values inequality : 15(6) + 10(20) = 290 which follows inequality . True statement!

C.

Lynn will meet her goal if she sells 6 bangles and 12 necklaces. putting values inequality : 15(12) + 10(6) = 240, which follows inequality . True statement!

D.

Lynn will meet her goal if she sells 2 bangles and 18 necklaces.putting values inequality : 15(18) + 10(2)=290, which follows inequality . True statement!

7 0
3 years ago
Read 2 more answers
Complete the area model to identify the factored
beks73 [17]

I think it’s C but I am not sure sorry dude

5 0
3 years ago
What is (-3,5) reflected across the y axis?
BARSIC [14]
3,5 is the answer i belive

8 0
3 years ago
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