In parallelogram ABCD, if ED = 7x - 13 and BD = 16x - 38, find BD.

Answer: [tex]6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}[/tex]

Step-by-step explanation:

Given

Quadratic equation is

[tex]x^2-12x+15=0[/tex]

Solving by completing the square method

[tex]\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}[/tex]

The solution set of the equation is [tex]6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}[/tex]

Answer:

D on edge

Step-by-step explanation:

Answer:

-20 = - 20

Step-by-step explanation:

Suppose the number is x

three less than a number means x - 3 which is equal to 14 more than twice a number means 2x +14.

So we can write

x - 3 = 2x +14 - - - - - A

subtract x from both sides

x - x - 3 = 2x - x +14

-3 = x +14

Subtract 14 from both sides

-3 - 14 = x +14 - 14

-17 = x

Or x = - 17

Now can verify our answer by putting the value of x in Eq A

-17 - 3 = 2 x (-17) +14

-20 = - 34 +14

-20 = - 20

I hope this helps.       :)

Answer:

x ≤ 207 crates

Step-by-step explanation:

Greatest weight of the container = 27,500 kilograms

Weight of other shipment = 6,800 kilograms

Weight of a crate = 100 kilograms

Number of 100-kilogram crates that can be loaded into the shipping container = x

The inequality is

27,500 ≤ 6800 + 100x

27,500 - 6800 ≤ 100x

20,700 ≤ 100x

x ≤ 20,700 / 100

x ≤ 207 crates

Answer:

I think it might be 9420 Im not sure though

Step-by-step explanation:

Hey There! Allow me to explain how to solve this (I will not say the answer bc I also don't know but here is how you can find it). As you see the shape is a Cyclinder & the formula for it is V=Bh or V=πr2h. You might wanna start with solving the problems (8x - 4) & (11x + 12) Use the order of PEMDAS (Parrenthesis, Exponets, Multiplication, Division, Addition, Subtraction.) to solve is so if solving (8x - 4) And if x = 8 than first begin with mutiliplying 8 x 8 (Because it says 8x and x = 8 which means we are multiplying) than subtract that with 4 (Which will be 64 - 4). Than for (11x + 12) you will wanna do 11 x 8 which is 88 added by 12 which that will be 100. Than use the formula (V=Bh or V=πr2h) And you should have you're answer! I hoped this help and sorry for not finding the answer but atleast I explained to you on how to solve it! <3

Answer:

C. 3.078

Step-by-step explanation:

14.1005 - 11.023 = 3.0775

Then you round the ten thousands place turning 75 into 8 equaling 3.078

Subtraction is a mathematical operation. The amount of silver lab group A got compared to lab group B is 3.0775 gm more.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The amount of silver that group A got is 14.1005gm, while the amount of silver that group B got is 11.023 grams. Therefore, the amount of silver lab group A got compared to lab group B is,

14.1005 gm - 11.023 gm = 3.0775 gm

Hence, the amount of silver lab group A got compared to lab group B is 3.0775 gm more.

Learn more about Subtraction:

https://brainly.com/question/1927340

#SPJ2

Answer:

t = 0.5m + 15

Step-by-step explanation:

0.5m + 15 = t

Answer:

b. y = x + 4

Step-by-step explanation:

So we know at x = 0, or the middle black line, the red line is touching 4 so y = 4. 4 is the y intercept so the equation should say "+ 4"

Then, we can see that when the red line increases up by 1 value, it also increases 1 value to the right so that would be 1/1 which equals to 1x.

Therefore the correct answer is y = x + 4

Please mark brainliest if this was helpful :)

Answer:

it should be all of them besides the last one because 3 is greater than 2

and 2 because it is equal

Step-by-step explanation:

Answer:

5x+4x^17+3x^5-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

AB = 5

AC = 6

BC = √(5² + 6²) = √61 ≈ 7.8 units

Answer:

Add 2+2+3+3

Step-by-step explanation:

Correct me if i'm wrong but that's my answer. I studied this 3 years ago.

Answer:

3 x 2 or 3 + 3

Given: Taylor noticed the rectangle she could multiply 2 times 3 to get its area of 6 square inches.

so, if we did 3 times 2 its 6 but if we did 3 + 3 it also 6 so therefore she could do 3 x 2 or 3 + 3 to find the area.

Step-by-step explanation:

Answer:

x+2y=0

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y-(-1/2x)=2-2

y+1/2x=0

1/2x+y=0

2(1/2x+y)=2(0)

x+2y=0

Answer:

the difference is the rate of change and the payment plan

Step-by-step explanation:

Answer:

√{310×310}=√310²=±310 is your answer

Answer:

∠ V = 130°

Step-by-step explanation:

In a parallelogram opposite angles are congruent and consecutive angles are supplementary.

∠ S and ∠ V are not opposite angles, they are consecutive, then

∠ S + ∠ V = 180°

50° + ∠ V = 180° ( subtract 50° from both sides )

∠ V = 130°

Answer:

no this is wrong its souposed to be moved twice so it will look like this:

706.56

Step-by-step explanation:

Answer:

Answer is 16%

Step-by-step explanation:

I hope it's helpful!

Answer:

16

Step-by-step explanation:

Do 4/ 1 over 4.  This simplifies to 4*4 so your answer is 16.  To check 4/16 = 0.25

Step-by-step explanation:

Are the roots equal or unequal

Answer:

Step-by-step explanation:

All the factors of 12

So 1, 2, 3, 4, 6 and 12 are factors of 12.

Answer:

answer is 2×2×3×5= 4×15=60 im srry if you did not mean this but anyways have nice day

Step-by-step explanation:

12,10| 2

6,5| 2

3,5| 3

1,5| 5

1,1

Answer: 2:1 B is the answer I think this is correct.

Step-by-step explanation:

Answer:

$4.8625

Step-by-step explanation:

$3.89 + 20%

$3.89 = 80%

$3.89 × ¼ = $0.9725

$0.9725 × 5 = $4.8625

a. y=-2.5x+50

b. slope=-2.5. y-intercept=50

Answer:

slope is -2.5

y-intercept is (0,50)

slope y-intercept is y= -2.5x + 50

Step-by-step explanation:

to find the slope you use rise/run the rise is 5 and the run is -2 which is 5/-2 or -2.5

the y-intercept is where the line hits a perfect point on the y-axis which would be at 50 in your case

y=mx+b

m= slope and b= y-intercept

why is m the slope? because the slope is the unknown variable

hope this helps :) (i tried to explain it as best as i could) have a nice day !!

Answer:

x=40

Step-by-step explanation:

x + 320 = 360

   -320     -320

x            =  40

Answer:

x=40

Step-by-step explanation:

So, since the figure has 4 sides, we know that the sum of the interior angles is 360. To check: (n-2)*180=(4-2)*180=28180=360.

That means x equals 360 minus the sum of the other three angles.

100+120+100=320

360-320=40

x=40 degrees

Answer:

-30

hope i helped

Step-by-step explanation:

Answer: What does the term 8t represent?

*) the price of the tickets

Step-by-step explanation:

Step-by-step explanation:

simple interest = principal×rate×time

S.I = $50×(14÷100)×3

S.I=$50×0.14×3

S.I=$21

Amount= principal + simple interest

Amount = $50+$21

Amount = $71

Answer:

Step-by-step explanation:

In this question we have to find the share of each person

First we have to find the sum of all the ratios,

[tex]2 + 3 + 5 \\ = 10[/tex]

Then we have to represent their share as a fraction and then multiply it by the total value,

The share of first person:-

[tex] \frac{2}{10} \times 450000 \\ = 2 \times 45000 \\ = 90000[/tex]

So the first person share is $90,000

The share of second person:-

[tex] \frac{3}{10} \times 450000 \\ = 3 \times 45000 \\ = 135000[/tex]

So the second person share is $135,000

The share of third person:-

[tex] = 450000 - (135000 + 90000) \\ = 450000 - 225000 \\ = 225000[/tex]

So the third person share is $225,000

(This is your answer hope it helps :))