The perimeter of a rectangular metal plate is 36 dm and its area is 80 dm squared find its dimension (relate the measures to the sum and product of quadratic equation)​

Answer:

 =  − 3

Step-by-step explanation:

Answer:

z=-3

Step-by-step explanation:

-2z+3+7z=-12

5z+3=-12

5z=-12-3

5z=-15

z=-3

:)

Answer:

(f+g)(x) = 3x - 8 -x -4

(f+g)(x) = 2x-12

(f+g)(5) - substitute 5 into x

(f+g)(5) = 2(5)-12

(f+g)(5) = 10-12

(f+g)(5) = -2

Step-by-step explanation:

Answer:

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

Step-by-step explanation:

Sam's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.

Bruno's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.

1 kilometer = 0.621 miles.

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

We will divide a larger value by a smaller value to get the smaller units

Answer:

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

Step-by-step explanation:

Answer:

what is the question that you are asking

Step-by-step explanation:

Answer:

#1

Line A is parallel to line B.

Sorry but I don't think there is a perpendicular line. Line C is y = 5/3x + 2/3 which isn't perpendicular they just cross.

#2

Again none of the lines are parallel which is kind of confusing.

Line A is perpendicular to line B.

Step-by-step explanation:

Answer:

This transformation is a  horizontal stretch  by a factor of  2 .

Step-by-step explanation:

The transformation is a horizontal stretch by a factor of 2 .

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

According to the given figure, vertices of rectangle ABCD are:

A=(3,0) B=(1,0) C=(1,2) and D=(3,2)

After the transformation of square ABCD we get a rectangle A′B′C′D′.

whose vertices are, A'=(6,0) B'=(2,0), C'=(2,2) and D'=(6,2)

(Here A', B', C' and D' are transformed from points A, B , C and D respectively.

In horizontal stretch by a factor k the point (x,y) in a graph f(x) is transformed to the (kx,y).

And after seeing the coordinates of vertices of square ABCD and rectangle  A′B′C′D′

it is clear that there is no change in the y-coordinates in all the vertices of both square ABCD and rectangle  A′B′C′D'.

Moreover, the x-coordinates are increasing by multiplying 2. Therefore it is a horizontal stretch by factor 2.

Hence, this transformation is a horizontal stretch by a factor of 2 .

To learn more on Graph click:

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Answer:

8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]

Step-by-step explanation:

This can be expanded using the binomial theorem or by multiplying the factors.

In case you are not aware of the theorem, will do multiplication.

Given

(2x² + y²)³ = (2x² + y²)(2x²+ y²)(2x² + y²)

Expanding the second pair of factors

Each term in the second factor is multiplied by each term in the first factor, that is

2x²(2x² + y²) + y²(2x² + y²) ← distribute both parenthesis

= 4[tex]x^{4}[/tex] + 2x²y² + 2x²y² + [tex]y^{4}[/tex] ← collect like terms

= 4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]

Now multiply this by the remaining factor (2x² + y²)

(2x² + y²)(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex])

= 2x²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) + y²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) ← distribute both parenthesis

= 8[tex]x^{6}[/tex]+ 8[tex]x^{4}[/tex]y² + 2x²[tex]y^{4}[/tex] + 4[tex]x^{4}[/tex]y² + 4x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex] ← collect like terms

= 8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]

Answer:

t=1/5d

Hope this helps! :)

Answer:

150

Step-by-step explanation:

Answer: 70

Step-by-step explanation: because 40 + 70 is 110. There is a sum of 180 degrees in a triangle. And 180- 110= 70.

pls give me brainliest

Answer:

132

Step-by-step explanation:

The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.

y = 6x^3-6x^2-8

____

x = 2

6(2)^3-6(2)^2-8

6(8)-6(4)-8

48-24-8

24-8

16

____

x = 4

6(4)^3-6(4)^2-8

384-96-8

288-8

280

_____

280-16/4-2 = 264/2 = 132

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

Answer:

The answer is $159

Step-by-step explanation:

2b + 3 - Day 1

4b + 6 - Day 2

6b + 9 - Day 3

477=6b+9

-9          -9

468=6b

78=b

(2x78) + 3 = 159

The answer is $159

Answer:

the answer is d

Step-by-step explanation:

it would be 9.7 x 10^3

Answer:

long

Step-by-step explanation:

14ft

Answer:

1,2,4,8,16.

Step-by-step explanation:

they are a square root of 2 for each question. it will eventually get up higher then additive.

The sequence that has the second greatest value for the 10th term is

 1, 2, 4, 8, 16, . . .

The geometric sequences in the given sequences is  1, 2, 4, 8, 16, . . .

A sequence  is an enumerated collection of objects in which repetitions are allowed and order matters.

Now the given sequences are,

30, 40, 50, 60, 70, . . . :
0, 5, 15, 30, 50, . . . :

1, 2, 4, 8, 16, . . .

For sequence 30, 40, 50, 60, 70, . . . :

we have common difference, d = 10

So, this is an arithmatic sequence.

So, Tn = a1 + (n-1)d

Hence, 10th term of the series,

T10 = 30 + (10-1)10

T10 = 30 + 9*10

T10 = 30 + 90

T10 = 120

For sequence 0, 5, 15, 30, 50, . . .

This is a recurssive sequence

Hence each term of the series is given as,

0

5 = 5*1

15 = 5*(1 + 2)

30 = 5*(1 + 2 + 3)

50 = 5*(1 + 2 + 3 + 4)

.

.

.

.

.

10th term = 5*(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 +  9)

10th term = 225

For sequence 1, 2, 4, 8, 16, . . .

Here common ratio, r = 2

also, Tn = ar^(n-1)

So, T10 = 1*2^(10-1)

or, T10 = 1*2^9

or, T10 = 512

Therefore,

The sequence that has the second greatest value for the 10th term is

 1, 2, 4, 8, 16, . . .

and The geometric sequences in the given sequences is

1, 2, 4, 8, 16, . . .

More about geometric progression :

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Answer:

C

Step-by-step explanation:

Answer:

it b or c

Step-by-step explanation:

Answer:

4091

Step-by-step explanation:

Given the equation;

3x + 7x − 28 + 31 − 8x

First, we would collect like terms;

3x + 7x − 8x − 28 + 31

Simplifying, we have;

[tex] 2x + 5[/tex]

For x = 2043;

2(2043) + 5 = 4086 + 5 = 4091.

Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

~

Answer:

There are 250 berries.

Step-by-step explanation:

There are 10 berries per 1 orange.

We have 25 oranges.

To find out how many groups of berries to oranges there will be I will divide 25 by 1.

[tex]25/1=25[/tex]

[tex]x*y=z[/tex]

x = Amount of groups

y = Amount of berries per group

z = Amount of berries total.

Substitute values:

[tex]25*10=250[/tex]

There are 250 berries total!

Answer:

18%

Step-by-step explanation:

6840:38000*100 =

(6840*100):38000 =

684000:38000 = 18

Answer:

Step-by-step explanation:

b(7) = 7^2 + 7(7)

B(7) = 49 + 49

B(7) = 98

Answer:

Step-by-step explanation:

Firstly she needed to raise $150

and each cookie $5

let the number of cookie be x

let the expression for the fund raising be

150=5x

given that the mom gave her $45

then she need

150-45=5x

105=5x

x=105/5

x=21

Therefore she need to sell at least 21 cookie

Answer:

258.53

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

I believe it is 258.53 ,,,,

Answer:

2/2 = 1 i think pls check

Step-by-step explanation:

4 divided by 2 = 2

and 6 divided by 3 = 2

so yea 2/2

and 2/2 = 1

Answer:

Step-by-step explanation:

a = 180 degrees (because they are supplementary, as it says in the given, so their two angles add up to 180 degrees

b = 180 degrees (same reasoning as above)

c = Substitution?

d = m<3

e = m<3

I'm confident with everything except for c. If anyone can fill it in for me, pls do

Answer: No, it is not.

Step-by-step explanation:

If you solve and graph the equation, the point (4,10) falls below the line, not satisfying the equation.

Answer:

76.0 degrees

Step-by-step explanation:

Just got it right on the Khan Academy quiz.

Answer:

the equation for the line would be x= 4

Step-by-step explanation:

vertical lines means that only the x axis will be crossed by the line

this means that if you have a point of a vertical line, you can take the x value in it to determine the equation

Answer:

y = -5/4x - 10.75

Step-by-step explanation:

First, put the equation in slope intercept form by isolating y:

5y - 4x = 10

5y = 4x + 10

y = 4/5x + 2

Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4

Plug in the slope and the given point into y = mx + b to find b:

y = mx + b

8 = -5/4(-15) + b

8 = 18.75 + b

-10.75 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = -5/4x - 10.75

Answer:

5x + 4y + 43 = 0

Explanation:

y=mx+b

m=slope

b=y intercept

perpendicuar lines have slopes that multiply to get -1

so

solving for y

add 4x both sides and divide by 5 to get

y=4/5x+2

slope is 4/5

perpendicular means the slopes multiply to get -1

so

4/5 times what=-1?

what=-5/4

so

y=(-5/4)x+b

find b

given the point (-15,8)

8=(-5/4)(-15)+b

8=75/4+b

-43/4=b

y=(-5/4)x-43/4

convert to standard form:

5x + 4y + 43 = 0

Answer:

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085

Step-by-step explanation:

The given parameters are;

The coordinates of parallelogram RSTU are;

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are (using an online length calculator);

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is therefore;

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet is therefore;

-9x/2 - 43/2  =  x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.

Answer: It’s C on edge

Step-by-step explanation: