What are the surface areas of these two prisms

Answer:

[tex]x=2,-3[/tex]

Step-by-step explanation:

Set [tex](x-2)(x+3)^2[/tex] equal to [tex]0[/tex].

[tex](x-2)(x-3)^22=0[/tex]

Solve for [tex]x[/tex].

If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].

[tex]x-2=0\\(x+3)^2=0[/tex]

Set the first factor equal to [tex]0[/tex] and solve.

Set the first factor equal to [tex]0[/tex].

[tex]x-2=0[/tex]

Add [tex]2[/tex] to both sides of the equation.

[tex]x=2[/tex]

Set the next factor equal to [tex]0[/tex] and solve.

Set the next factor equal to [tex]0[/tex].

[tex](x+3)^2=0[/tex]

Set the [tex]x+3[/tex] equal to [tex]0.[/tex]

[tex]x+3=0[/tex]

Subtract [tex]-3[/tex] from both sides of the equation.

[tex]x=-3[/tex]

The final solution is all the values that make [tex](x-2)(x+3)^2=0[/tex] true.

[tex]x=2,-3[/tex]

Answer:

x=5

Step-by-step explanation:

.

Answer:

2

Step-by-step explanation:

448 ÷ 224 = 2

224 ÷ 112 = 2

Hope this helps and have a nice day :)

Answer:

x=19

Step-by-step explanation:

-4 (5 - x) + 7x = 189  Distribute

4x-20+7x=189   Combine Like Terms

11x-20=189 Add 20 To Both Sides

11x=209 Divide By 11

x=19

Answer:

Step-by-step explanation:

1. x2 + 6x - 7

2. x2 - 5x + 6

3. x2 - 6x - 7

4. x2 + 5x - 6

5. x2 + x - 12

6. x2 - 2x - 8

7. x2 - 4x - 5

8. x2 + 2x - 3

9. x2 - 16

10. x2 - x - 12

11. x2 -9x + 18

12. x2 -5x - 14

13. x2 - 7x + 10

14. x2 -11x + 24

15. x2 - x - 30

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's get it solved :} [/tex]

[tex] \textsf{[ since we need positive solution ]} [/tex]

[tex] \textsf{Correct choice is C} [/tex]

Answer:

C. x = 1/2

Explanation:

[tex]\sf \rightarrow x^2 = \dfrac{1}{4}[/tex]

[tex]\sf \rightarrow x=\sqrt{\dfrac{1}{4}},\:x=-\sqrt{\dfrac{1}{4}}[/tex]

[tex]\sf \rightarrow x=\dfrac{1}{2},\:x=-\dfrac{1}{2}[/tex]

As asked for positive solution (+)

[tex]\sf \rightarrrow \sf \rightarrow x=\dfrac{1}{2}[/tex]

Answer:

slope= -2/3

explanation: 2-4/2+1

Answer:

1/2

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 2-3)/(0-2)

   = -1/-2

  = 1/2

Answer:

Slope = 0.5

Step-by-step explanation:

Given: Line passes through (2, 3) and (0, 2)

[tex]\text{Slope formula} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute the coordinates in the formula and solve for the slope;

    [tex]\implies \text{Slope formula} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

    [tex]\implies\text{Slope formula} = \dfrac{2 - 3}{0 - 2}[/tex]

    [tex]\implies\text{Slope formula} = \dfrac{-1}{-2}[/tex]

    [tex]\implies\text{Slope formula} = \dfrac{1}{2} = 0.5[/tex]

Therefore, the slope of the line is 0.5.

Answer:

B.

Step-by-step explanation:

if smart, they can hide

For the 3 circles, in increasing order of the radius, we have:

For a circle of radius R, the arc defined by an angle θ (in degrees) is given by:

L = (θ/360°)*2pi*R

Where pi = 3.14

In this case, we have 3 circles of different radius, and θ = 60°, then we have:

circle 1:

radius = 1 unit, then:

L₁ = (60°/180°)*2*3.14*1 = 2.09

circle 2:

radius = 2 units, then:

L₂ = (60°/180°)*2*3.14*2 = 4.18

circle 3:

radius = 3 units, then:

L₃ = (60°/180°)*2*3.14*3 = 6.28

If you want to learn more about circles:

https://brainly.com/question/1559324

#SPJ1

The total number of gallons in 8.25 quartz is 2.0625 gallons

According to the given question, we are to convert 8 1/4 quartz to gallons

According to the standard conversion

1 gallons = 4 quarts

x = 8.25 quartz

Take the ratio

1/x = 4/8.25
4x = 8.25

x = 8.25/4

x = 2.0625 gallons

Hence the total number of gallons in 8.25 quartz is 2.0625 gallons

Learn more on gallons to quartz here: https://brainly.com/question/898411

#SPJ1

Answer:

Step-by-step explanation:

Factorize x² - 5x + 6

x² - 5x + 6 = x² - 3x - 2x  + 6

                 = x(x - 3) - 2(x - 3)

                = (x - 3)(x -2)

[tex]\sf \dfrac{(x -1)}{4x -8} \ \div \dfrac{x-2}{x^2-5x + 6} = \dfrac{x -1 }{4x-8} * \dfrac{x^2 - 5x + 6}{x -2}[/tex]

                                    [tex]\sf = \dfrac{(x -1)}{4x-8)}*\dfrac{(x-3)(x-2)}{(x-2)}\\\\ [\text{\bf (x-2) in the numerator and denominator will be cancelled}]\\\\\\= \dfrac{(x -1)(x-3)}{4x-8}\\\\=\dfrac{x*x + x*(-3) + (-1)*x + (-1)*(-3)}{4x-8}\\\\=\dfrac{x^2-3x -x + 3}{4x -8}\\\\=\dfrac{x^2-4x +3}{4x-8}[/tex]

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

Answer:

Step-by-step explanation:

isosceles trapezoid = congruent sides in pairs and the same for the angles

the sum of the interior angles is 360°

so angle 1 = 32°

angles 2 and 3

(360 - 32 - 32) :2 = 148°

check

32 + 32 + 148 + 148 = 360°

the answer is good

Answer:

2 numbers apart (17 and 19)

Step-by-step explanation:

Eaxh other number is even, and 5, 3, and 9 are sometimes not prime. 1 is prime though.

Hope this helps!

Answer:

0.07%

Explanation:

I helped somebody else with the same question! haha

Answer: it will be A And D

Step-by-step explanation:

Answer:

3 minutes 20 seconds

Step-by-step explanation:

Time taken to eat 1/4 of a hamburger = 5/6 minute

Solving

The number 4 represents the initially held water of the bucket. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bucket holding several inches of water was placed under a leaking faucet.

Water leaking into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour.

The equation y = 2x + 4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket.

Then the number 4 in the equation represents.

The number 4 represents the initially held water of the bucket.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

the answer is 43-43x

Step-by-step explanation:

I don't know if that was the answer that you where looking for. respond  to my answer if this did or not help you.

Answer:

so i have a little trick for you.  Reflecting across the x axis is just turning (x,y) to (x, -y)

Reflecting across the y axis is just turning (x, y) to (-x, y)

If we substitute that in we can figure it out

so

(0, 3) we have to turn it to (x, -y), so it would end up being (0, -3). That is the reflection axross the x axis.

(-4,5) we have to turn it to (-x,y) which will be (4,5) because a negative and a negative is positive. so (4,5) is the ordered pair reflected across the y axis! Hope it helps :D

Step-by-step explanation:

Answer:

-22x-11

Hope this helped you, and have a good day!

Answer: The answer is 50 m³.

Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume  1350 m³.

The volume of a cone with base radius 'r' units and height 'h' units is given by

[tex]V=\frac{1}{3}\pi r^2h.[/tex]

Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write

[tex]V=\frac{1}{3}\pi r^2h=1350[/tex]

⇒ [tex]\pi r^2h=4050.[/tex]

Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.

Therefore, the volume of the dilated cone will be

[tex]V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}[/tex] × [tex]\pi r^2h=\frac{1}{81}[/tex] × [tex]4050=50[/tex]

Thus, the volume of the resulting cone will be 50 m³.

Answer:

the answer for 500×4-8/2 is 1996

Answer: This is FALSE, you can replace a variable with an equal value or expression

Step-by-step explanation:

If you can substitute an unknown variable with another equal expression, you can then solve for another variable, and with that equal expression, solve for the first variable.

Learn more here: https://brainly.com/question/23533399

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The gradient of this graph is 2/3 so the equation of the line is

[tex]y= \frac{2}{3}x[/tex]

However, the question is asking for proportionality which has the equation:

[tex]y=kx[/tex]

So k in this instance is [tex]\frac{2}{3}[/tex].

Answer: 38

Step-by-step explanation:

Since the polygons are similar, the corresponding sides are all in the same proportions.

x-2/4.5 = 16/2 = 48/6

Solving for x

[tex]\frac{x-2}{4.5}=\frac{48}{6}[/tex]

[tex]\frac{x-2}{4.5}=8[/tex]

[tex]\frac{4.5\left(x-2\right)}{4.5}=8\cdot \:4.5[/tex]

[tex]x-2=36[/tex]

[tex]x-2+2=36+2[/tex]

[tex]x=38[/tex]

Therefore, the value of x is 38

Answer:

2736/7200 or 19/50

Step-by-step explanation:

7200/50 = 144

19 x 144 =

2736/7200 =

1368/3600 =

684/1800

342/900

171/450

57/150

19/50