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On a coordinate plane, point E is (negative 6, 8), point A is (5, 7), point B is (10, negative 2), point C is (8, negative 6), point D is negative 6, negative 6).
Which statements are true? Select all that apply
The length of side ED is equal to the length of side DC.
The length of side EA is equal to the length of side AB.
You can find the length of side BC by counting.
Shape ABCDE is a pentagon.
Shape ABCDE is a hexagon.

Answer:

f= -4x-7/x

Step-by-step explanation:

Answer:

72 spheres are formed

Step-by-step explanation:

We start by calculating the volume of the metallic cylinder

Mathematically, we have this as;

V = pi * r^2 * h

V = pi * 21 * 14^2

V = 4116 π cm^3

The volume of each small sphere is;

V = 4/3 * pi * r^3

= 4/3 * π * 7/2^3 = 57.167 π cm^3

To get the number of small spheres, we simply divide the volumes

That will be 4116 pi / 57.167 pi = 72

Answer:

(2,-5)

Step-by-step explanation:

Answer:

The solutions are:

[tex]x=\frac{7-\sqrt{17}}{2},\:x=\frac{7+\sqrt{17}}{2}[/tex]

Step-by-step explanation:

Given the quadratic equation

-x² + 7x = 8

Solving using the quadratic formula

[tex]-x^2+7x=8[/tex]

Subtract 8 from both sides

[tex]-x^2+7x-8=8-8[/tex]

Simplify

[tex]-x^2+7x-8=0[/tex]

For a quadratic function of the form ax² + bx + c = 0, the solutions are:

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

For a = -1, b = 7, c = -8

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\left(-1\right)\left(-8\right)}}{2\left(-1\right)}[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \:\sqrt{49-32}}{2\left(-1\right)}[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{17}}{2\left(-1\right)}[/tex]

Separate the solutions

[tex]x_1=\frac{-7+\sqrt{17}}{2\left(-1\right)},\:x_2=\frac{-7-\sqrt{17}}{2\left(-1\right)}v[/tex]

solving

[tex]x_1=\frac{-7+\sqrt{17}}{2\left(-1\right)}[/tex]

   [tex]=\frac{-7+\sqrt{17}}{-2}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{-b}=\frac{a}{b}[/tex]

i.e. [tex]-7+\sqrt{17}=-\left(7-\sqrt{17}\right)[/tex]

so

     [tex]=\frac{7-\sqrt{17}}{2}[/tex]

Similarly solving

[tex]x_2=\frac{-7-\sqrt{17}}{2\left(-1\right)}[/tex]

    [tex]=\frac{-7-\sqrt{17}}{-2\cdot \:1}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{-b}=\frac{a}{b}[/tex]

i.e. [tex]-7-\sqrt{17}=-\left(7+ \sqrt{17}\right)[/tex]

    [tex]=\frac{7+\sqrt{17}}{2}[/tex]

Therefore, the solutions are:

[tex]x=\frac{7-\sqrt{17}}{2},\:x=\frac{7+\sqrt{17}}{2}[/tex]

Answer:

$595.34

Step-by-step explanation:

Step one

given data

interest rate of 2.5%= 0.025

final amount= $690

time = 6 years

Required

Principal P

Step two

The compound interest formula is

[tex]A= P(1+r)^t[/tex]

substitute

[tex]690=P(1+0.025)^6\\\\690=P(1.025)^6\\\\690=P1.159\\\\[/tex]

divide both sides by 1.159

P=690/1.159

P= $595.34

Answer:

590

Step-by-step explanation:

Answer from delta math

Answer:

16

Step-by-step explanation:

128/8 = 16

n= 16

The value of n is equal to 16.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE are given an expression as;

8n = 128

We need to find the value of n.

8n = 128

n= 128/8 = 16

n= 16

Hence, the value of n is equal to 16.

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Answer:

260 lb

Step-by-step explanation:

180/9=20

13*20=260

Answer:

Step-by-step explanation:

Use the ratio

Simplify

Find the weight x on Earth of the person with weight 13 lb on Mars:

Answer:

the answer is: 3, 4

Step-by-step explanation:

those numbers meet in the circle where it supposed to go

Question:

Sue is thinking of a number 3/8 of 88 = 1/3 of her number

what number is she thinking of

Answer:

[tex]x = 99[/tex]

Step-by-step explanation:

Represent the number with x.

So, we have:

[tex]\frac{3}{8} * 88 = \frac{1}{3} *x[/tex]

Multiply through by 3

[tex]3 * \frac{3}{8} * 88 = \frac{1}{3} *x * 3[/tex]

[tex]3 * \frac{3}{8} * 88 = x[/tex]

[tex]3 * 3 * 11 = x[/tex]

[tex]99= x[/tex]

[tex]x = 99[/tex]

Hence, she is thinking of 99

Answer:

x=10

Step-by-step explanation:

Using Pythagoras theorem

H^2=O^2+A^2

26^2=24^2+A^2

676= 576+A^2

676-576= A^2

100= A^2

square root both sides

10= A

Therefore, x=10

Answer:

16

Step-by-step explanation:

Answer:

The budget for dances is $380

Step-by-step explanation:

If we know that the ratio between student government budget for dance and charity event is 5:7 this means that there is some amount of money that fits 5 times into the student government budget for dance and 7 times into the budget for the charity events. So in order to find what is the value of that among we divide $532.00 by 7, and then multiply that amount by 5 to get the budget for the dance events. So we do........

$532.00 / 7 x 5 = $76 x 5 = $380

Answer:

Option B.   7

Step-by-step explanation:

In order to solve this question we first have to find out what is the difference between the prices of a pen and a pencil. SO we get...

60 - 4- = 20 cents

Now if we were to assume that all 17 items were pencils then Diane would pay....

17 x 0.40 = $6.8

But then he pays 8.2-6.8 = $1.4 less than he should be.

If we substitute one pencil with a pen the total will increase by 20 cents. From here we can easily get the number of pens by doing the following...

1.4 / 0.2 = 7 pens

Therefore option B is the right answer.

Diane purchased 7 pens and 10 pencils.

The selling price of pens is 60 cents each ($0.6) while it is 40 cents each for pencils ($0.4).

Let x represent the number of pens bought and y represent the number of pencils.

Since a total of 17 items was bought for $8.20, hence:

x + y = 17   (1)

0.6x + 0.4y = 8.2   (2)

Solving equations 1 and 2 gives:

x = 7, y = 10

Therefore Diane purchased 7 pens and 10 pencils.

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Answer:

6/5

Step-by-step explanation:

120/100 =

12/10 =

6/5

Answer:

the answer is D. 5.6

Step-by-step explanation:

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Answer: D) 5.6

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

234:2=117

117+5=122

--->234-122=112

Answer:

Abdullah is 46.8 years old.

Step-by-step explanation:

Umer is 5 years old and the product of their ages is 234 so that means Abdullah is 46.8 years old.

5*46.8 = 234

Answer:

37

Step-by-step explanation:

(12x12)+(35x35)=ans

square root of ans

Answer:

5) 6cm 6)J

Step-by-step explanation:

5) 30/7.5=4

24/4=6

6) J=P

K=Q

L=R

M=S

Answer:

y=7x+5

Step-by-step explanation:

[tex]\tt{ 3x:10=5:2 }[/tex] ⠀

[tex]\tt{\dfrac{3x}{10}=\dfrac{5}{2} }[/tex] ⠀

[tex]\tt{3x×2=10×5 }[/tex] ⠀

[tex]\tt{6x=50 }[/tex] ⠀

[tex]\tt{x=\dfrac{50}{6} }[/tex] ⠀

[tex]\tt{ x=\dfrac{25}{3}}[/tex] ⠀

Answer:

Step-by-step explanation: D. None of the above

Answer:

(3x−27)o

Step-by-step explanation:

we know that

m\angle BEC=m\angle AEDm∠BEC=m∠AED ----> by vertical angles

we have

m\angle BEC=(2x+3)^om∠BEC=(2x+3)o

The value of x is given

x=30

so

m\angle BEC=(2(30)+3)=63^om∠BEC=(2(30)+3)=63o

That means that the measure of angle AED is also 63 degrees

so

The expression that could represent the measure of Angle A E D is

(3x-27)^o(3x−27)o

because

For x=30

(3(30)-27)=63^o(3(30)−27)=63o

Answer:

(3x−27)o

Step-by-step explanation:

Answer:

Hi! The correct answer is 7x=-3!

Step-by-step explanation:

~Write in standard form~

Answer:

16 miles an hour

Step-by-step explanation:

40 / 2.5 = unit rate

Answer:

16

Step-by-step explanation:

40÷2.5=16

So 1 hour is 16 because if you multiply it by 2.5 it is right.

(2×16)+(16×0.5)=40

32+8=40.

Noah needs 1.2 ounces of paint to cover 1 box.

What is simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easily with calculations and solving.

Here, we have

Given: Noah is painting boxes that are all the same size, and I have used 2 ounces of paint to cover 1 2/3 boxes, to determine how many ounces of paint are needed to cover 1 box, the following calculation must be performed:

= 1.666 = 2

1 = X

2 / 1,666 = X

1.2 = X

Hence, Noah needs 1.2 ounces of paint to cover 1 box.

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Answer:

10 and 3/4??

High Hopes

                      Barry-