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natta225 [31]
3 years ago
5

Simplify: (4x2 − 8xy + 2y2) − (9x2 − 4xy − 7y2) (5 points)

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Answer:

Here you go

-5x2 − 4xy + 9y2

Hope this helps



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The measure of an interor angle of a regular polygon is given. Find the number of sides in the polygon.
EleoNora [17]

Let side be n

#1

\\ \sf\longmapsto 120n=(n-2)180

\\ \sf\longmapsto 120n=180n-360

\\ \sf\longmapsto -60n=-360

\\ \sf\longmapsto n=6

#2

\\ \sf\longmapsto 160n=(n-2)180

\\ \sf\longmapsto 160n=180n-240

\\ \sf\longmapsto -20n=-240

\\ \sf\longmapsto n=12

#3

\\ \sf\longmapsto 144n=(n-2)180

\\ \sf\longmapsto 144n=180n-360

\\ \sf\longmapsto -36n=-360

\\ \sf\longmapsto n=10

6 0
2 years ago
Quadrilateral ABCD has vertices A(1, -3) , B(2, 1), C(6, 3), and D(7, -1). Prove or disprove that the Quad ABCD is a rectangle.
zavuch27 [327]
If AC=BD, than Quad ABCD is a rectangle
AC
√(3+3)²+(6-1)²
√6²+5²
√36+25
√61
BD
√(1+1)²+(2-7)²
√2²+(-5)²
√4+25
√29
Quad ABCD is not a rectangle because √61 and √29 are not equal.
7 0
3 years ago
Someone please help me with this question
zubka84 [21]
You can use pythagorean theorem and square 1.5 and 6 and those added together is the hypotenuse (the slope) squared. the answer is approximately 6.2
8 0
3 years ago
Write the set of real numbers from - 10 through 10 in interval notation.
Klio2033 [76]

Answer:

1) (-10,10) - Greater than -10 and less than 10.

2) [-10, 10] - Greater than or equal to -10 and less than or equal to 10.

3) [-10, 10) - Greater than or equal to -10 and less than 10.

4) (-10, 10] Greater than -10 and less than or equal to 10.

Step-by-step explanation:

There are four form of describing that set in interval notation, which presented below:

1) (-10,10) - Greater than -10 and less than 10.

2) [-10, 10] - Greater than or equal to -10 and less than or equal to 10.

3) [-10, 10) - Greater than or equal to -10 and less than 10.

4) (-10, 10] Greater than -10 and less than or equal to 10.

8 0
3 years ago
Mary throws her Grandma’s favorite crystal dish out the second floor window, which is 6 meters from the ground. She is really up
wlad13 [49]

we know that

acceleration due to gravity is 9.8m/s^2

so, we get

a(t)=9.8

and acceleration will always be constant

we know that

integral of acceleration is velocity

so, we can integrate both sides

\int \:a\left(t\right)dt=\int \:9.8dt

v(t)=9.8t+C

we are given

v(0)=35m/s

we can use it and find C

v(0)=9.8*0+C

35=9.8*0+C

C=35

now, we can plug it back

v(t)=9.8t+35

we know that

integral of velocity is height

we can integrate it again

\int \:v\left(t\right)dt=\int \:\left(9.8t+35\right)dt

s(t)=\int \:\left(9.8t+35\right)dt

s(t)=4.9t^2+35t+C

now, we have

s(0)=6

we can use it and find C

s(0)=4.9(0)^2+35(0)+C

6=4.9(0)^2+35(0)+C

now, we can plug back C

C=6

and we get

s(t)=4.9t^2+35t+6.............Answer

4 0
3 years ago
Read 2 more answers
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