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(4a³+6a²-10a-4)+(6a²+a²+a+7)

(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)

10a³+7a²-9a+3

OPTION D is the correct answer

Answer:

option d is the correct answer

I hope it helped U

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Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

[tex]2\times l\times w=2lw[/tex]          ...(i)

The product of twice of the length l and the height is:

[tex]2\times l\times h=2lh[/tex]           ...(ii)

The product of twice of the width w and the height h is:

[tex]2\times w\times h=2wh[/tex]       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

[tex]A=2lw+2lh+2wh[/tex]

[tex]A=2(lw+lh+wh)[/tex]

Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].

Answer:

5

Step-by-step explanation:

The highest power is 5 so the degree of the monomial is also 5.

Answer: The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Answer:

B. 14 and 15

hope this helps

have a good day :)

Step-by-step explanation:

the square root of 200 is 14.14213562 so it has to be between 14 and 15

Answer:

Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.

Step-by-step explanation:

Dado que Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M, y una hora mas tarde se encuentra a 109 km de La Romana, sabiendo que la distancia de Santo Domingo a La Romana es de 130 km, para determinar la velocidad a la cual Pedro está circulando y a qué hora llegará a destino se debe realizar el siguiente cálculo:

130 - 109 = 21 km por hora

130 / 21 = 6.19

1 = 60

0.19 = X

0.19 x 60 = 11.4

Por lo tanto, Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.

Answer:

2 cm²

Step-by-step explanation:

Perimeter of a rectangle = perimeter of a square + perimeter of a square

2 congruent squares, side by side

The perimeter of the two squares = 6*sidelength.

Perimeter of a rectangle = 6 cm

The perimeter of the two squares = 6 * length

= 6l

Perimeter of a rectangle = The perimeter of the two squares

6 = 6l

l = 6/6

l = 1

Length = 1 cm

What is the total area of the squares.

Area of a square = lenght²

Area of two squares = 2(length ²)

= 2(1²)

= 2(1)

= 2 cm²

Answer:

f(3) = -28

Step-by-step explanation:

f(3) = -5(3²) - 3 + 20

= -5(9) - 3 + 20

= -45 - 3 + 20

= -48 + 20

= -28

Answer:

- 2/5

Step-by-step explanation:

(3/5 + 1/5) + (4/5 - 2/5) = 6/5

6/5 - (9/5-1/5) = - 2 /5

Answer:

D

Step-by-step explanation:

Have a great summer :)

Answer:

C

Step-by-step explanation:

The slope is negative, so we can exclude the graph A and D

If we substitute y with 2 and x with -3 we have

2 = -4/3 (-3) -2

2 = 4 - 2

2 = 2

the equality is verified so C is the answer

Answer:

[tex]mSQR=1/2m~SR\\[/tex]

[tex]75=1/2m~SR[/tex]

[tex]mSR=150[/tex]

[tex]360=SR+QR+QS[/tex]

[tex]mQR=360-150-133[/tex]

[tex]mQR=77[/tex]

[tex]So, B ~ is ~ your~ answer[/tex]

-----------------------

hope it helps...

have a nice day!

Answer:

a

Step-by-step explanation:

1/2 of 10 is 5

Answer: b

Step-by-step explanation:

there are 6 numbers on a regular dice. 3 even, 3 odd

Answer:

5P5 × 20P15

Step-by-step explanation:

i think...

sorry if im wrong

good luck

[tex]\longrightarrow{\green{a\:=\:2}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

➡[tex]\:4a + 1 = a + 7[/tex]

Combining like terms, we have

➡[tex]\:4a - a = 7 - 1[/tex]

➡[tex]\:3a = 6[/tex]

➡[tex]\:a = \frac{6}{3} [/tex]

➡[tex]\:a = 2[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

➪ [tex] \: 4 \times 2 + 1 = 2 + 7[/tex]

➪ [tex] \: 8 + 1 = 9[/tex]

➪ [tex] \: 9 = 9[/tex]

➪ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

AB: 3

BC: 5

CD: 3

DA: 5

Step-by-step explanation:

You’re welcome

Answer:

28 square feet

Step-by-step explanation:

the bottom rectangle has side lengths 10x2 and the top rectangle has side lengths 4x2.

10x2=20

4x2=8

20+8=28

Answer:

130°

Step-by-step explanation:

angle TFM + angle MFD = 180° (being a linear pair)

or, 4m + 142° +2m + 56°= 180°

or, 6m= 180°- 198°

or, m= -18°/6

so, m= -3°

now, angle TFM = 4m +142°= -12°+142°= 130°

Answer:

B

Step-by-step explanation:

y=e^x+3

Answer:

2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.

Step-by-step explanation:

Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.

Number 3 does not go through the origin, so number 3 is also not proportional.

Number 5 is proportional since when you divide y by x, it is always 7.

Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.

Answer:

34 because the shape is split.

Step-by-step explanation:

Answer:

slope = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)

m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]

Answer:

= 2

7

Step-by-step explanation:

slope = y2 - y1

x2 - x1

=4 - 2

4 - -3

= 2

7

y - 4 = 2

x - 4 7

7(y - 4) = 2(x - 4)

7y - 28 = 2x - 8

7y = 2x - 8 + 28

7y = 2x + 20

7 7 7

Gradient = 2

7

Answer:

y=-1/2x-4

Step-by-step explanation:

Hi there!

We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)

Parallel lines have the same slopes, but different y intercepts.

So let's find the slope of x+2y=14

we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides

2y=-x+14

divide both sides by 2

y=-1/2x+7

so the slope of x+2y=14 is -1/2

The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).

Here's the equation of that line so far:

y=-1/2x+b

we need to find b (y intercept)

as the equation will pass through (-8,0), we can use it to solve for b

substitute -8 as x and 0 as y

0=-1/2(-8)+b

multiply

0=4+b

subtract 4 from both sides

-4=b

substitute into the equation

y=-1/2x-4

Hope this helps! :)

The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1

The equation of a line is expressed as y = mx + b

For the blue line;

m = 1

Since the line cuts the line at y = 1, hence the y-intercept is 1

The required equation of the red line will be y > x + 1

For the red line;

m = 1

Since the line cuts the line at y = -2, hence the y-intercept is -2

The required equation of the red line will be y < x - 2

Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1

Learn more on inequality graph here: https://brainly.com/question/9774970

Answer:

B Or y < x – 2 and y > x + 1

Step-by-step explanation:

y < x – 2 and y > x + 1

Answer:

HCF = 1

Step-by-step explanation:

Smallest 2 digit composite number = 10

Smallest  3 digit prime number = 101

Factors of 10 = 1 , 2 , 5

Factors of 101 = 1 , 101

HCF = 1

Answer:

x = 4

Step-by-step explanation:

The line in the triangle is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides, that is

[tex]\frac{x+6}{20}[/tex] = [tex]\frac{x}{8}[/tex] ( cross- multiply )

20x = 8(x + 6) = 8x + 48 ( subtract 8x from both sides )

12x = 48 ( divide both sides by 12 )

x = 4

Answer:

The answer is C≈49.64

Answer:

C=2πr=2·π·7.9≈49.63716

Step-by-step explanation:

brainliest??

Answer:

A =374.1 m^2

Step-by-step explanation:

Area of a rectangle is

A = l*w

A = 25.8*14.5

A =374.1 m^2

Answer:

Area of rectangle is 374.1 m ²

Step-by-step explanation:

Area of rectangle = Length × Breadth

Using Formula

Area of rectangle = Length × Breadth

substitute the values.

Area of rectangle = 25.8 m × 14.5 m

multiply, we get

Area of rectangle = 374.1 m ²

Therefore, the area of rectangle is 374.1 m ²