Find the total surface area of the rectangular prism.

Answer:

12+16

24+20

36+81

49+84

99+36

The equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Suppose the given points are [tex](x_1, y_1) and (x_2, y_2),[/tex]

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We have been given a line passing through the point (8, 9) with a slope of 3.

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Its slope would be:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = 3

Therefore, the equation of the straight line

[tex](y - 9) = 3 (x -8)\\\\y - 9 = 3x - 24\\\\y = 3x -15[/tex]

Hence, the equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Learn more about straight-line equations here:

https://brainly.com/question/380976

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Answer: 37ft^2

Step-by-step explanation:

Create two separate figures. A full square 3x3 and a rectangle 7x4.

The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft

Area of 3x3 square = 3^2 = 9ft^2

Area of 7x4 rectangle = 7x4 = 28ft^2

28+9= 37ft^2

Answer:

24cm3

Step-by-step explanation:

Answer:

8 and 9

Step-by-step explanation:

Find the 2 perfect square either side of 72 , that is

64 < 72 < 81 , then

[tex]\sqrt{64}[/tex] < [tex]\sqrt{72}[/tex] < [tex]\sqrt{81}[/tex]

8 < [tex]\sqrt{72}[/tex] < 9

Answer:

f = 100 and f = 65

Step-by-step explanation:

[tex]\frac{5}{5} \geq 9 = 1 \geq 9[/tex]

[tex]\frac{100}{5} \geq 9 = 20 \geq 9[/tex]  ←

[tex]\frac{20}{5} \geq 9 = 4 \geq 9[/tex]

[tex]\frac{65}{5} \geq 9 = 13 \geq 9[/tex]  ←

I hope this helps! May I please have brainliest? :)

Answer:

[tex] - 11 \frac{1}{2} [/tex]

Step-by-step explanation:

8x + 5y = 7

4x - 5y = 11

If you all it all up we have

8x + 4x +5y - 5y = 18

12x=18

x=18/12=1.5=3/2 = 1 whole number 1 over 2(1 1/2)

subtituting the value of x into equation 1(8x + 5y = 7)

8(1.5) + 5y = 7

5y=7-12

5y = -5

y=-5/5

y= -1

Answer:

-2(2-5x)

Step-by-step explanation:

3+2×(5x)-7

Calculate the difference

-4+2×(5x)

Factor out -2 from the expression

-2(2-5x)

Thats the answer: -2(2-5x)

Hope this helps

Answer:

Perimeter of trapezoid = 25.66 cm

Step-by-step explanation:

Trapezoid ABCD contains two triangles ΔABF, ΔCDE and a square with side length 4 cm.

By applying Pythagoras theorem in ΔABF,

AB² = BF² + AF²

AB² = 4² + 3²

AB = [tex]\sqrt{16+9}[/tex]

AB = 5 cm

Similarly, By applying Pythagoras theorem in ΔCDE,

CD² = DE² + CE²

CD² = 4² + 4²

CD = [tex]\sqrt{32}[/tex]

CD =5.66 cm

Perimeter of the given trapezoid = AB + BC + CD + AD

= 5 + 4 + 5.66 + (3 + 4 + 4)

= 25.66 cm

Answer:

3 c  3 3 3 33  3 the 3 one

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !

Answer:

Step-by-step explanation:

2.8 x 10^3

Answer:

2.8x×10³

Step-by-step explanation:

Answer:

y = 9

x = 6

Step-by-step explanation:

Answer:

the sum of interior angles of a quadrilateral = 360 degree

Step-by-step explanation:

therefore,

let the angle C be X

124 + 96 + 94 + X = 360

314 + X = 360°

X = 360 - 314 = 46°

angle C = 46°

Answer:

46 degrees

Step-by-step explanation:

Answer:

12/16, 6/8, 15/20, 24/32

Step-by-step explanation:

Because to find the equivalents, you have to multiply/ divide the numerator and the denominator with the same number.

Ok so you have 2 pies.

You can cut into quarters which is 4 slices in 1 pie.

Than you can do 4 slices x 2 pies which means you have 8

Answer:

please include an image for the question

Answer:

(x - 1)(3x + 2)

Step-by-step explanation:

By the Remainder theorem

Given expression is divisible by x - 1 then f(1) = 0

when divided by (x + 1) then f(- 1) = 2

when divided by x - 2 then f(2) = 8

Substitute x = 1, x = - 1, x = 2 into the expression , that is

a + b + c = 0 → (1)

a - b + c = 2 → (2)

4a + 2b + c = 8 → (3)

Subtract (1) from (2) to eliminate a and c

- 2b = 2 ( divide both sides by - 2 )

b = - 1

Subtract (1) from (3) to eliminate c

3a + b = 8 ← substitute b = - 1

3a - 1 = 8 ( add 1 to both sides )

3a = 9 ( divide both sides by 3 )

a = 3

Substitute a = 3, b = - 1 into (1) and evaluate for c

3 - 1 + c = 0

2 + c = 0 ( subtract 2 from both sides )

c = - 2

Then a = 3, b = - 1, c = - 2

Thus

ax² + bx + c

= 3x² - x - 2

= (x - 1)(3x + 2) ← in factored form

Answer:

D

Step-by-step explanation:

....iam not sure but i think its a because the other impossible

Answer:

The answer is D.

Step-by-step explanation:

For A- I don't think it's greater, I think they are the same.

For B- I don't think it's greater, I think they are the same.

For C- Segment AE is longer than Segment AB.

So D seems like the more logical answer.

Answer:

4

Step-by-step explanation:

Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths.  So now we need to find how much each tablecloth is.

so first it tells us that each table has a radius of 2 ft, so we find the area using that.  area of a circle is [tex]\pi r^2[/tex] so plugging in 2 ft we get 4π square feet or 12.56.

It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is.  to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.

Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet.  Hopefully it's obvious you divide.  so 64/15.072 = 4.25

Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.

Answer:

156 in squared

Step-by-step explanation:

So the formulas will be stated below

Parallelogram Area= 1/2h(b1+b2)

Square Area= Bh

So first do

(4)(12+6)

(4)(18)

No need to half it bc there's the same shape at the bottom

72+18+30+36

6(3)

3x5(2)

12(3)

Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129

Answer:

72 Sq m

Step-by-step explanation:

Area of trapezoid

[tex] = \frac{1}{2} (16.5 + 7.5) 6 \\ \\ = 24 \times 3 \\ \\ = 72 \: {m}^{2} [/tex]

Answer:

area of isosceles trapezoid = 72 m square

Answer:

1. 252N = ( x  x )N

2. Factor =

Step-by-step explanation:

Let the starting population size for organisms A and B be represented by N.

For organism A;

Day 0: N

Day 1: 2N

Day 2: N

Day 3: N

Day 4: N

Day 5: N

Day 6: N

Day 7: N

Day 8: N

For organism B;

Day 0: N

Day 1: 2N

Day 2: N

Day 3: N

Day 4: N

Day 5: N

Day 6: N

Day 7: N

Day 8: N

1. After the eight days, organism B's population is larger than organism A's population by;

N - N = 256N - 4N

              = 252N

              = ( x  x )N

2. Organism A's population grows by .

Answer:

A=2

Step-by-step explanation:

Answer:

6 inches

Step-by-step explanation:

(8-5)>x>(5+8)

Answer: 1/4 of a mile

Step-by-step explanation: 1/3 × 3/4