In trapezoid ABCD, AB ∥ CD , m∠A=90°, AD=8 in, DC=9 in, CB=10 in, and ∠B is acute. Find DB.

Answer:

x = a + 8

Step-by-step explanation:

x = The number that is 40% more than five more than a number a.

x = 40% more than 5 (plus a)

5 * 0.6 = 3

5+3 = 8

x = a + 8

Answer:

18.3125

18.5635

18 13/16

Step-by-step explanation:

Answer: 14 1-cent stamps (in case anyone else still needs)

Step-by-step explanation:

1-cent stamps=x

8-cent stamps=x-4

12-cent stamp=.5x

x+x-4+.5x=31

2.5x-4=31

2.5x=35

x=14

You can use the $1.78 to double check:

(1*14)+(8*10)+(12*7)

14+80+84=178 cents (or $1.78)

Answer:

  B, D

Step-by-step explanation:

If you're going to make claims about the graph, it is helpful to see a graph (attached).

A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.

B) The vertex is (-3, -13). True

C) The axis of symmetry is x = -3, not the one given.

D) The graph increases for x > -3. True

E) The function crosses the x-axis at about x=-6.6 and x=0.6.

A function assigns the values. The statements that are true about the given function are B and D.

A function assigns the value of each element of one set to the other specific element of another set.

Here, we have,

To know the correct statements about the graph of the function f(x)=6x-4+x², we need to plot the graph, as shown below.

A.) The vertex form of the function is f(x)=(x-2)²+2.

To know if the vertex form of the function is f(x)=(x-2)²+2, solve the equation and check if it is of the form f(x)=6x-4+x².

Since the two functions are not equal this is not the vertex form of the function is f(x)=6x-4+x².

B.) The vertex of the function is (-3, -13).

As can be seen in the image below, the vertex of the function lies at (-3,-13.) Therefore, the statement is true.

C.) The axis of symmetry for the function is x = 3.

As the vertex is at -3, therefore, the function symmetry will be about x=-3.

Hence, the given statement is false.

D.) The graph increases over the interval (-3).

The given statement is true since the graph will be showing a positive slope in the interval (-3, +∞).

E.) The function does not cross the x-axis.

It can be observed that the function intersects the x-axis exactly at two points, therefore, the given statement is false.

Learn more about Function:

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Answer:

using the equilateral formula of solution

Answer:

[tex]x^2-3\geq 12[/tex]

Step-by-step explanation:

[tex]x^{2} -3[/tex] is the difference of a number squared and three

is at least 12, means that is greater but not less

[tex]x^2-3\geq 12[/tex]

Answer:

10.5

Step-by-step explanation:

Answer:

[tex]\boxed{r=3}[/tex]

Step-by-step explanation:

We can use SAS ≅ SAS congruence to validate that the triangles are similar (both share the same side, have another congruent side, and have a congruent angle).

Because the sides are congruent, set them equal to each other and solve for r.

18 - 2r = 4r

18 = 6r

3 = r ⇒ [tex]\boxed{\bold r = 3}[/tex]

Therefore, the answer is D.

Answer:

r = 3

Step-by-step explanation:

Here Triangle ALR is divided precisely in half by the vertical side LU.  The two triangles thus formed are therefore congruent.

Thus, 18 - 2r = 4r, and 6r = 18.  Then r = 3.

Answer:

I believe that the answer is F.

Step-by-step explanation:

The y coordinate is about the test score (per question is assume).  

It if is per question then 5 points will be handed out for every four questions or 1.25 per question.

Answer:

F

Step-by-step explanation:

Find the slope:

two points were given (1, 5/4) and (0, 0) because if you get zero question right you will recieve zero points.

Slope: 5/4

y= (5/4)x

Lets check F

You get 4 questions rights then you will get 5 points.

Answer:

The area can be expressed as: [tex]\pi r^2+lw[/tex].

We have l=10, because 18-2(4)

We have w=8, as given.

Thus, the rectangle area is 80.

There are two semicircles, but they add to form a full circle, which makes things a lot easier. We have the circle area formula, and substituting the values gives us 50.24 as the circle volume

80+50.24=130.24.

Rounded to 1 decimal place that is 130.2

Hope this helps :)

Answer:

The correct option is;

Left object volume = right object volume

Step-by-step explanation:

The shapes given in the question are two circular cones that have equal base radius and equal height

The formula for the volume, V of a circular cone = 1/3 × Base area × Height

The base area of the two shapes are for the left A = π·r², for the right A = π·r²

The heights are the same, therefore, the volume are;

For the left

[tex]V_{left}[/tex] = 1/3×π·r²×h

For the right

[tex]V_{right}[/tex] = 1/3×π·r²×h

Which shows that

1/3×π·r²×h  = 1/3×π·r²×h and [tex]V_{left}[/tex]  = [tex]V_{right}[/tex], therefore, the volumes are equal and the correct option is left object volume = right object volume.

Answer:

Y = -4x + 1

Step-by-step explanation:

1. We know the equation of a line is y=mx+b.

2. using the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], to find the slope. -12 / 3 = -4, so the slope is -4.

3. we need to find the Y intercept, or the Y coordinate at X=0. if at x=1 the Y is -3, and the slope is -4, then if we go down to x=0 then the Y would be 4 higher. therefore the Y intercept is 1.

4. now we can make the equation; Y = -4x + 1

Answer:

∠2 ≅ ∠6

Step-by-step explanation:

Answer:

the answer is ( x-9) (x+1) = 0

Step-by-step explanation:

more to the solution is x= -1, 9

Step-by-step explanation:

Let's take a look at the dimensions of the cube. Since each cube has a side length of 1, the answer to the question is 1 x the number of cubes. Counting the sides gives 2 x 3 x 4, or 24 yd^3

Answer:

Hey there!

For this question we want to find 32% of 1239500.

0.32(1239500)=396640.

Hope this helps :)

Answer:

Angle MON is equal to 130 degrees.

Step-by-step explanation:

We are told LON is 180 degrees.

Angles LOM and MON are supplementary meaning they add to 180 degrees.

Using this information we know 12x+120=180.

We can use the subtractive property of equality to subtract 120 from both sides.

Do thins we get 12x=60.

Using the division property of equality we can divide both sides by 12 to get x=5.

We can then use the substitution property of equality to get MNO=8(5)+90.

We can then simplify to get MNO=130.

Answer:

The answer is A

Step-by-step explanation:

(I'm not 100% sure though, hope this helps.)

Answer:

25 square inches

Step-by-step explanation:

A square has 4 congruent sides.

By knowing the perimeter of a square, you can find the length of a side.

perimeter = 4 * side

20 in. = 4s

s = 20 in./4

s = 5 in.

A side of this square measures 5 in.

Now we use the area formula to find the area of the square.

area = (side)^2

area = (5 in.)^2

area = 25 in.^2

Answer:

The area will be 25 inches.

Step-by-step explanation:

Hi! So, this might be a pretty easy question for some people, but I can see how it might be confusing.

If you want to find the area of a square, which has four equal sides, it's pretty easy. You just need to know the length of one side instead of two different lengths, because both are equal!

The question gives you the perimeter, which is 20 inches. To get the perimeter of something, like this square, you add up all the sides. All you have to do to find the length of one side is divide the total sum of the sides, 20 (perimeter!)  by the number of sides you have, four!

Note: This won't work with things like rectangles. You can only do things like this with squares, because you know ahead of time that all of the sides will be equal.

So! 20 divided by the number of sides, 4, is five!

Know we know all we need to be able to find the area of the square. To find the area, all you have to do is multiply the length of the square (5) by the width of the square (also 5!) That's 25, which is the area of your mystery square.

Hope you understand and this helps!

Answer:

C

Step-by-step explanation:

C

Answer: C

I had the same question.

Also hope this helps

Answer:

Tessa has 3 ice-cream scoops

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]2ab(a-b)+3a^2(a+2b)+b^2(2a-b)\\\\=2a^2b-2ab^2+3a^3+6a^2b+2ab^2-b^3\\\\=\boxed{3a^3-b^3+8a^2b}[/tex]

For a = 2, b = 3 the total is

[tex]3\cdot 2^3-3^3+8\cdot 2^2 \cdot 3\\\\=3*8-27+96\\\\=24-27+96\\\\=\boxed{93}[/tex]

Thank you

Its very confusing so sry

Answer:

x = 1

Step-by-step explanation:

−31−4x=−5−5(1+5x)

First step is to simplify both sides

−31−4x=−5−5(1+5x)

−31+−4x=−5+(−5)(1)+(−5)(5x)

distribute

−31+−4x=−5+−5+−25x

−4x−31=(−25x)+(−5+−5)

and combine like terms

−4x−31=−25x+−10

−4x−31=−25x−10

Then add 25x to both sides

−4x−31+25x=−25x−10+25x

21x−31=−10

Add 31 to both sides

21x−31+31=−10+31

21x=21

And divide by 21!

21x/21 = 21/21

x=1

Answer:

X=1

Step-by-step explanation:

First this is you want to distribute the -5 to the 1 and 5x. Now you should have -31-4x=-5-5-25x. Next thing is to combine your like terms which would be -5 and -5 and you get -10. (-31-4x=-10-25x) Now add 31 to both sides and your new solution is -4x=21-25x. This time you add 25x to both sides and get 21x=21. Final step you divide both sides by 21 and get X=1. :)

Answer:

complex conjugates

Step-by-step explanation:

The factors (5 + i) and (5 – i) are called complex conjugates.

Answer:

complex conjugates

Step-by-step explanation:

Numbers of the form a+ bi and a - bi are complex conjugates.

Their product is real.

Answer:

I would be 7 gallons used and 5 gallons left

Step-by-step explanation:

multyply 1.75 times 4 hours equal 7 then 12-7=5 is the total of gallons left

Hope this helps

Answer: g(1) is 1.

Step-by-step explanation:

If we are solving for g of 1  then the first equation can't be used to solve for g of 1 because it only works in x is equal to -2.

The same way the second function will not work because x has to equal to -1.

But in the last function which is written as a polynomial it will work for this situation because x is not equal to -2 or -1 so apart from those numbers every number will work the same way 1 will work.    

So plot 1 into the function and solve for it .

g(1) = 1^3 - 1^2 + 1  

g(1)=  1 - 1 + 1

g(1)= 1

Answer: x2 + 5x – 104 = 0

Step-by-step explanation:

Answer:

The 16 cases will fit the box as shown.

Step-by-step explanation:

One disk case has the dimensions 14.2 cm by 19.3 cm, with thickness 1.6 cm.

Temporarily ignoring the 14.2 cm and 19.3 cm measurements, we multiply this 1.6 cm thickness by 16, obtaining a total thickness for the stack of cases of 25.6 cm.  

1) The 16 cases, arranged as shown, and measuring 25.6 cm from left to right in this diagram, will fit within the 26 cm horizontal distance shown.

2) The horizontal length of each case is 14.2 cm.  Stacked as shown, the 16 cases will fit within the 15 cm depth of the box.

3) The vertical measurement of each case is 19.3 cm.  The 20 cm vertical measurement of the box can accommodate this 19.3 height within 20 cm.

All indications are that the 16 cases will fit comfortably inside the box.

Answer:

16 discs capacity of the cuboid.

Step-by-step explanation:.

for simplicity...

i would just divide 26cm to 1.6cm = 16 .25

therefore,  16 discs capacity of the cuboid.

Answer:

see explanation

Step-by-step explanation:

Given

x² - 6x = - 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = - 5 + 9 [ part a, c = 9 ]

(x - 3)² = 4 [ part b ]

Take the square root of both sides

x - 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 3 to both sides )

x = 3 ± 2

Thus part c is

x = 3 - 2 = 1

x = 3 + 2 = 5

Answer:

x=2,y=7

Step-by-step explanation:

Using elimination method:

Add both equations

8x=16

x=2

Put x=2 into equation 2

3•2+6y=48

6y=42

y=7