What’s the surface area of this prism?

Answer:

a) x = 5

b) x = 4

Step-by-step explanation:

a) 4x - 3 = 2x + 7                                      collect like terms

   4x - 2x = 7 + 3                                    

   2x = 10                                                 divide both sides by the coefficient of x

   x = 5

b) 2x + 6 = 7x - 14                                     collect like terms

   2x - 7x = -14 - 6

   -5x = -20                                        divide both sidess by the coefficient of x

   x = 4

Answer:

5.7x

Step-by-step explanation:

Addition, 4.2x+1.5x=5.7x

Answer:

the ans is 5.7 x

..........

Answer:

the answer will be x=-9

Step-by-step explanation:

-5(x+6)=15

-5x-30=15

-5x=15+30

-5x=45

×=-9

Answer:

[tex]x=-9[/tex]

Step-by-step explanation:

[tex]-5(x+6)=15[/tex]

Use the distributive property.

[tex]-5x-30=15[/tex]

Add [tex]+30[/tex] on both sides of the equation.

[tex]-5x=15+30[/tex]

[tex]-5x=45[/tex]

Divide [tex]-5[/tex] on both sides of the equation.

[tex]x=45/-5[/tex]

[tex]x=-9[/tex]

Answer: B

Step-by-step explanation:

If there is a change in something it normal means you subtract 1 number from another.

In this case the two values were 5 and -11.

At midday for answer b, it was 5  and at midnight it -11. It then wants to know the change in temperature which would result in an expression of 5-(-11).

Answer:

Step-by-step explanation:

Can you label like which one is which please.

Answer:

(new - original) / original * 100 %

Step-by-step explanation:

To find a percent loss,

Take the new amount

Subtract the original amount

(new - original)

Then divide by the original

(new - original) / original

Multiply by 100 percent

(new - original) / original * 100 %

That is the percent loss

find a percent loss,

Take the new amount

Subtract the original amount Divide by original multiply by 100

Answer:

There is a local maximum at the point (-1,6), therefore, for x = -1

Step-by-step explanation:

Notice that the function adopts values smaller than 6 to the left of x = -1, and to the right of it:

(-3, -2), (-2, 0) to the left of x = -1 where the function's value is 6

and (0, 0), and (1, -2) to the right of x = -1

therefore, it looks like (-1, 6) is a maximum, that is for x = -1, where the function renders a value of 6.

Answer:

D is the correct answer

Answer:

[tex]y=ax^2+bx+c[/tex]

Step-by-step explanation:

[tex]y=ax^2+bx+c[/tex] because in a quadratic, there is a exponent 2, 1, and 0

Answer:

-5 ≤x≤5

Step-by-step explanation:

The domain is the values that are allowed for the input

As we can see from the graph, X can be from -5 to 5 inclusive

-5 ≤x≤5

Answer:

64+24x

Step-by-step explanation:

first multiply 2 and 4

(inside the parenthesis)Combine like terms, 4 &4

Distribute the outside 8 to 8 and 3x

8(8)= 64

3(3x)=24x

Answer: 4x^6+6x^5+8x^4

Step-by-step explanation:

2x^4 (2x^2+3x+4)

=(2x^4)(2x^2+3x+4)

=(2x^4)(2x^2)+(2x^4)(3x)+(2x^4)(4)

=4x^6 + 6x^5 +8x^4

Answer:

Step-by-step explanation:

In circle C, RT= 6, RS = 10, and QT= 3. What is the length of line segment PQ?

In circle C, RT= 6,

RS = 10, and

QT= 3.

What is the length of line segment PQ?

[tex](RT) (RS) = (QT) (PQ)[/tex]

so plug that in

[tex](6)(10)=(PQ)(3)[/tex]

[tex](6)(10)=(PQ)(3) \\\\60=(PQ)(3)\\\\PT=\frac{60}{3} \\\\PQ=20[/tex],

Answer:

E!

Step-by-step explanation:

Every new circle throughout the pattern adds one more section & moves down one section. Not sure if that explanation makes sense, but it does in my head.

Answer:

The surface area should be 335

Step-by-step explanation:

Separate each rectangle and square and find the area of each. Don't forget the ones on the back

Answer:

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer:

parallelogram&Rectangle

Step-by-step explanation:

.

The given figure is a parallelogram and a rectangle.

Options A and C are the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

The given figure has two pairs of parallel sides.

A rectangle is a quadrilateral that has two pairs of parallel sides.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

Thus,

The given figure is a parallelogram and a rectangle.

Learn more about parallelograms here:

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Answer:

The equality is false.

Step-by-step explanation:

[tex]3(24-1) - 20= 4(0-2) + 5[/tex]

[tex]3(23) - 20= 4(-2) + 5[/tex]

[tex]69 - 20= -8 + 5[/tex]

[tex]49= -3[/tex]

[tex]49\neq -3[/tex]

Answer:

Step-by-step explanation:

Elevators are a safer way that using a ladder, or any other option, because it has really good foundations, so you won't fall, and it has a floor which you can stand on safely.

Stairs are also safer than ladders, because you can have more estability on the surface, preventing any falls.

At last, ramps are also safer than ladders, but less safe than elevators or stairs, because they have an inclined surface, so you can slide.

Now, if we analyse these four options, we can say that their difference is about the frictional surface each of them have, and the null slope some of them have. For example, a ladder is dangerous, because you don't enough surface to step on, also, the friction of its surface is lower, that means you can easily fall. But, elevators, stairs and ramps have greater coefficient of friction on their surface, and also, they have a greater surface area.

Answer:

14%

Step-by-step explanation:

first, you would have to find how many skittles there are in total. You would add the red, blue, green, and purple skittles together and get 72. Next you would take the number of red skittles (10) and put it over the number of total skittles (72) and get the fraction 10/72. Lastly divide 10 by 72 and get the decimal .13888889 which would round up to .14 move the decimal over 2 places and get 14%

hope this helped :)

Answer:

It seems to be D)9 from intervals 1 to 3...

Step-by-step explanation:

Can't really explain that well, but the rate of change in an exponential function should always be decreasing or increasing. Instead of it being constant like a linear equation.

I.E. Not additive, instead to find it we need to divide.

[tex]\frac{27}{3} =9[/tex]

So, it should be 9. However, It does not seem to be maintained for the values after 3. Oh well!

Hope this helps!

The average rate of change of the function is 12.

The rate of change function represents the rate at which one quantity changes in relation to another. Simply put, the rate of change is the difference between the amount of change in one item and the comparable amount of change in another.

Rate of change = [ y₂ - y₁ ] / [ x₂ - x₁ ]

The rate of change for x₁ = 1 to x₂  = 3 at x₁ = 1 ,y₁ = 3 and at x₂= 3, y₂ = 27.

Rate of change =  [ y₂ - y₁ ] / [ x₂ - x₁ ]

                          = [ 27 - 3 ] / [ 3 - 1 ]

                          = [ 24 / 2 ]

                          = [ 12 ]

Hence, the correct option is A.

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Answer: 12 inches

Step-by-step explanation:

Vol = 1/3 x b x h

240 = 1/3 x b x 15

b = 240/5 = 48 in = area of triangle base

Area = 1/2 x b x h

48 = 1/2 x 8 x h

h = 48/4 = 12 inches

Answer:

84ft

Step-by-step explanation:

6 * 14 = 84

Answer:

see below

Step-by-step explanation:

The line segment is the hypotenuse of a right triangle with legs 1 and 3 so using Pythagorean Theorem its length is √10.

Answer:

Step-by-step explanation:

(-2, -2 )  ;   (-3, - 5)

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\=\sqrt{(-5-[-2])^{2}+(-3-[-2])^{2}}\\\\=\sqrt{(-5+2)^{2}+(-3+2)^{2}}\\\\ =\sqrt{(-3)^{2}+(-1)^{2}} \\=\sqrt{9+1}\\\\=\sqrt{10}[/tex]

Answer:

X=20

70 x 2 for the other side = 140

every triangle has 180 degrees

180-140=40

There are 40 remaining degrees

there are two x's so we divide by 2

40 = X2

20 = X

Hope this helps

Step-by-step explanation:

Answer:

1 not rectangle

2 not rectangle

3 rectangle

Answer:

y = 4.8

Step-by-step explanation:

I set up a proportion to solve this. I divided 9.6 by 8 to find the ratio. Then, with the ratio as 1.2, I multiplied 1.2 and 4 together to get 4.8, which is y.

Answer:

if you use m.a.t.h w.a.y you can find your answer its a math

Step-by-step explanation:

graph the line using the slop and y intercept 2 points

slope -8

y intercept 0

x=y

0=0

1=-8

Answer:

95%

Step-by-step explanation:

it's within 2 empirical jumps

Answer:

x = 0 or x = 4

Step-by-step explanation:

x² + y² = 25 and y = -2x + 5

Here,

x² + y² = 25 ...(1)

Now,

Put the value of y = -2x + 5 in equation (1)

we get,

x² + (-2x + 5)² = 25

x² + {(-2x)² + 2(-2x) (5) + (5)²} = 25

x² + {4x² - 20x + 25} = 25

x² + 4x² - 20x + 25 = 25

5x² - 20x = 25 - 25

5x² - 20x = 0

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0/5 or x = 4

x = 0 or x = 4

Answer:

x = 0, x = 4

Step-by-step explanation:

I hope its helpful

Answer:

A

Step-by-step explanation:

Because energy takes up the same inside the box?

Answer:

y= 2x -8

Step-by-step explanation:

To find  the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1, we will follow the steps below;

since the line is parallel to y=2x + 1, then the will have the same slope. That is; m₁ = m₂

comparing  y = 2x + 1 to y = mx + c

m= 2

we will substitute m= 2 x= 5  and y = 2  into y = mx + c and then solve for c

y = mx + c

2 = 2(5) + c

2 = 10 + c

subtract 10 from both-side of the equation

2-10 = 10 -10 + c

-8 = c

c=-8

To find our equation, we will substitute m = 2  and c=-8 into y=mx + c

y = 2x - 8

Therefore, the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1      is    y= 2x -8