Is it true that the square root of a sum is equal to the sum of the square roots?

Answer:

See attachment for diagram

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-8,8)[/tex]

[tex](x_2,y_2) = (-3,8)[/tex]

[tex]Area = 15[/tex]

Required

Draw the rectangle on a coordinate plane --- (missing from the question)

First, we calculate the distance between the given pairs.

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1-y_2)^2}[/tex]

[tex]D = \sqrt{(-8-(-3))^2 + (8-8)^2}[/tex]

[tex]D = \sqrt{25}[/tex]

[tex]D = 5[/tex]

So, the distance between the given pairs is 5 units... Let this be the length of the rectangle.

Using:

[tex]Area = Length * Width[/tex]

[tex]15 = 5 * Width[/tex]

[tex]Width = \frac{15}{5}[/tex]

[tex]Width = 3[/tex]

The width is 3 units.

This implies that the opposite sides of the rectangle are either 3 units down or 3 units up the given pairs.

Assume they are 3 units up.

[tex](x_1,y_1) = (-8,8)[/tex]   and [tex](x_2,y_2) = (-3,8)[/tex]

[tex](x_3,y_3) = (x_1,y_3 + 3) = (-8,8+3) = (-8,11)[/tex]

[tex](x_4,y_4) = (x_2,y_2 + 3) = (-3,8+3) = (-3,11)[/tex]

Answer:

Step-by-step explanation:

The distance between 2 cities is 175 miles

What is scale on graph?

A scale is a set of numbers that help to measure or quantify objects. A scale on the graph shows the way the numbers or pictures are used in data.

Given data ,

The distance between Louisville and Nashville = 1 3/4 inches

Scale of the map = 1 in : 100 miles

Now , 1 inch = 100 miles on the map

And , 1 3/4 = 7 / 4 inches

So , 7 / 4 inches = ( 7 / 4 ) x 100 miles

                          = 1.75 x 100 miles

                          = 175 miles

Hence , the distance between 2 cities is 175 miles

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Answer:

point D y F ese el la respuesta

Answer:

The slope will be y= -1/4x+2

Step-by-step explanation:

Hope this Helped

Answer:Sam surveyed his classmates to find out if they played a sport after school or practiced in the

school band

- 14 of his classmates played a sport

- of those 14 who played, 5 participated in the school band

- 8 students played in the school band, and out of those 8, 3 did not play sports

- there were 10 students who did not play a sport nor participate in the school band

Create a two way table to represent the data and answer the following questions

Step-by-step explanation:

Here is a two-way table that represents the given data:

Look at the pic

To create this table, we first divided the students into two categories: those who play a sport and those who do not. Then, we further divided each category into those who play in the school band and those who do not.

From the table, we can answer the following questions:

How many students did Sam survey in total?

To find the total number of students surveyed, we can add up the values in the table:

14 + 5 + 3 + 9 + 10 = 41

Therefore, Sam surveyed a total of 41 students.

How many students played a sport but did not participate in the school band?

From the table, we can see that 14 students played a sport, and 5 of those also participated in the school band. Therefore, the number of students who played a sport but did not participate in the school band is:

14 - 5 = 9

So, 9 students played a sport but did not participate in the school band.

How many students did not play a sport but participated in the school band?

From the table, we can see that 8 students played in the school band, and 3 of those did not play a sport. Therefore, the number of students who did not play a sport but participated in the school band is:

8 - 3 = 5

So, 5 students did not play a sport but participated in the school band.

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Answer:

5/3

Step-by-step explanation:

4 × x = (6×3+2)/3

---> 4x = 20/3

----> x = 20/12

----> x=5/3

Hope it helps

Answer:

5/3

Step-by-step explanation:

Answer:

8/6x+2................

Answer: y=(4/3)x-2

Step-by-step explanation:

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

x1=0, x2=6

y1=-2, y2=6

(y-(-2))/(x-0)=(6-(-2))/(6-0)

(y+2)/(x)=(6+2)/6

(y+2)/(x)=8/6=4/3

Cross multiply

3(y+2)=4x

y+2=(4/3)x

y=(4/3)x-2

Answer:

t = 5

Step-by-step explanation:

since those 2 angles make up 180 degrees turn it into an equation

20t + 5 + 15t = 180

combine like terms 20t + 15t = 35t

the equation is now 35t + 5 = 180

subtract 5 from both sides, 5 - 5=0, 180 - 5 = 175

35t = 175

now divide each side by 35, 35t/35 = t, 175/35= 5

t = 5

hope this helps :)

Answer:

5

Step-by-step explanation:

Line (which has the the equation)= 180

So,

15t + 20t + 5 = 180

35t + 5 = 180

35t = 180 - 5

35t = 175

t = 175/35

t = 5

Answer:

y

+

0

=

0

⋅

(

x

+

5

)

Step-by-step explanation:

Answer:

he should study

Step-by-step explanation:

Answer:

13.903 feet

Step-by-step explanation:

Let the height from the woman's eyes to the top of the sculpture be represented by x.

So that,

Tan 35 = [tex]\frac{x}{12}[/tex]

x = Tan 35 x 12

  = 0.70021 x 12

  = 8.4025

x = 8.403 feet

The height of the sculpture = The woman's eye level to the ground + x

                                              = 5 feet 6 inches + 8.403 feet

                                              = 5.50 feet + 8.403 feet

                                              =  13.903 feet

Thus, the sculpture has a height of 13.903 feet.

Answer:

C. 8 miles per hour

Step-by-step explanation:

It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour

Distance of the track = 1 mile long

The speed of an object expresses the ratio of distance moved to time taken to cover the distance.

i.e speed = [tex]\frac{distance}{time taken}[/tex]

           = [tex]\frac{1}{\frac{1}{8} }[/tex]

           = 8

Speed = 8 mile per hour

Therefore, Diego's bike has a speed of 8 miles per hour.

Answer:

15 pieces

Step-by-step explanation:

we see if we get 3 pieces from one bread then 5 will be 15

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Answer:

The answer is 7 bc 7 is half of 14

Step-by-step explanation:

Answer:88

Step-by-step explanation:

Given, x=3 & y=30

So, 5(3+8)+3+30 = 5(11)+3+30 = 88

Answer: 88

Step-by-step explanation:

5(3+8)+3+30

5 x 11 + 33

55+33

=88

Answer:

60

Step-by-step explanation:

so first you multiply 2 times 5 =15 and the we do 15 times six which is 90 and then subtract one and keep subtracting util you get to 60

Answer:

x=-1

Step-by-step explanation:

2(x-5)=6(x-1)

2x-10=6x-6

-4x-10=-6

-4x=4

x=-1

9514 1404 393

Answer:

  t + c ≤ 25

Step-by-step explanation:

"At most 25" means "less than or equal to 25." The total number of pieces of furniture is the sum of the numbers of tables and of chairs: t + c.

The shipping constraint can be written as ...

  t + c ≤ 25

Atbilde:

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Soli pa solim:

Latvietis

Anna = x

Vita = x + 8

Uldis = x + 10

Kopā = 60

x + x + 8 + x + 10 = 60

3x + 18 = 60

3x = 60 - 18

3x = 42

x = 42/3

x = 14

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Answer:

[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]

Step-by-step explanation:

Given

[tex](\frac{1}{4})^3[/tex]

Required: Evaluate

The options are not clear. So, I'll answer without considering the options:

[tex](\frac{1}{4})^3[/tex]

Apply law of indices:

[tex](\frac{1}{4})^3 = (\frac{1}{4}) * (\frac{1}{4}) * (\frac{1}{4})[/tex]

Remove brackets

[tex](\frac{1}{4})^3 = \frac{1}{4} * \frac{1}{4} * \frac{1}{4}[/tex]

Combine

[tex](\frac{1}{4})^3 = \frac{1*1*1}{4*4*4}[/tex]

[tex](\frac{1}{4})^3 = \frac{1}{64}[/tex]

Answer988

Step-by-step explanation:

Answer: 960

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

6G = -72

G = -72 / 6

G = -12

Answer:

35.7%

Step-by-step explanation:

The change is 45 dollars. (120-75)

The percent of change is the dollars divided by the original price.

45/120=0.357

Or 35.7%

Answer:

35.7

Step-by-step explanation:

Answer:

1. 500-p

2. qr=500

(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]

Amount of juice left in the bottle after pouring out [tex]q[/tex] glasses each containing [tex]r[/tex] [tex]ml[/tex]​ [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]

An algebraic expression refers to a combination of symbols, numbers, variables, and arithmetic operations.

Volume of bottle of orange juice [tex]\boldsymbol{\boldsymbol{=500\,ml}}[/tex]

(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]

(ii) Amount of juice contained in [tex]q[/tex] glasses [tex]=(qr)\,ml[/tex]

So,

Amount of juice left in the bottle after pouring out [tex]qr\,\,ml[/tex] of juice [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]

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Answer: 48 sections

Step-by-step explanation:

Sara bought 12 feet of fabric. From that 12 feet, she needs to cut out sections that are 1/4 in length.

The number of sections she will have if she does so is:

= Total length of fabric / Length of sections

= 12 ÷ 1/4

= 12 * 4/1

= 48 sections