Identify the distance between points (−1,7,10) and (6,−3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.

Answers

Answer 1

Answer:

d ≈ 14.6 units; M (2.5, 2, 6)

Step-by-step explanation:

Using the distance formula for 3-D dimensions, you get the √(213) which equals 14.6

Then, using the midpoint formula for 3-D dimensions, you find the coordinates 2.5 for x, 2 for y, and 6 for z.


Related Questions

Which matrix translates the vector 〈4,-3〉 to 〈6,-8〉?

Answers

Answer:

2, -5

Step-by-step explanation:

Find the measure of the exterior angle.

Answers

Answer:

Option (C)

Step-by-step explanation:

By the property of an exterior angle,

Exterior angle of a triangle is equal to the sum of two opposite interior angles.

(15x + 34)° = 29° + (12x + 26)°

15x + 34 = 29 + 12x + 26

15x - 12x = 55 - 34

3x = 21

x = 7

Measure of exterior angle = (15x + 34)°

                                           = 15(7) + 34

                                           = 105 + 34

                                           = 139°

Option (C) is the answer.

is the table linear or not

Answers

Answer:

No, the table is not linear.

Step-by-step explanation:

Between the x and y there has to be a constant rate. There is no constant rate.

A rectangle has a perimeter of 103.6 inches and a base of 39 inches. What is the height?

Answers

Answer:

12.8 IN.

Step-by-step explanation:

So, what exactly is perimeter?

Perimeter= 2L+ 2W

In this question we were given the length.ie.Base and the perimeter itself.

●Length is 39 In.

●Perimeter is 103.6 In.

●We don't know the width.

But, as per given the question, we know that;

1 length = 39 In.

2 lengths= 78 In.

Now that we know the total length we can find the total width.

See as follows,

103.6 - 78= 25.6

2 widths= 25.6

1 width= 25.6÷2

=12.8 In

jamals lawn service often fertilizes lawn in the spring. jamal charges 3.50 per square yard. how much will jamal charge to fertilize the yard pictured below

Answers

Answer:

He will charge $28.

Step-by-step explanation:

We know that Jamal charges $3.50 per square yard.

Now we need to find the area in the image, it may be kinda hard to see it, but we can think of the image as a rectangle of 4yd by 3yd where we subtracted the area of a square of side length equal to 2yd.

The area of the rectangle is:

A = 4yd*3yd = 12 yd^2

And the area of the square is:

a = (2yd)^2 = 4 yd^2

The area of our image (equal to the difference between the area of the rectangle and the area of the square) is:

Area = A - a = 12 yd^2 - 4 yd^2 = 8 yd^2

Area = 8 yd^2

And he charges $3.50 per square yard, then for 8 square yards he charges 8 times that amount, which is:

C = 8*$3.50 = $28

45,678 in expanded form

Answers

Answer:

40,000 + 5000 + 600 + 70 + 8

Step-by-step explanation:

take the numbers all off and break them down by their value.

find the circumference of the circle. PLEASE HELP I HAVE 5 MINUTES LEFT :(

Answers

Answer:

18.84

Step-by-step explanation:

Solve | 2x | = | x + 3 | by graphing

Answers

Answer:the answer is 3 and -1

Step-by-step explanation:

X=3

And

X=-1

Norris bought a television for $899. If the tax is 5.5%, how much sales tax will he pay?

Answers

Answer:

$49.445 or $49.5 if they round

Step-by-step explanation:

Answer:

$948.45

Step-by-step explanation:

■ Sales tax: $49.45

■ Cost/Price before ST: $899.00

■ Total Cost/Price including ST: $948.45

How many degrees does it take a capterpillar to turn upright​

Answers

it is at least 180 degrees

Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12.00 pm the temperature rose 6
degrees Fahrenheit, what is the
temperature at
12:00 pm in degrees?

Answers

-17°F bc -23+6 is -17

What is the x-value of the solution to this system of equations?
Y=2/7x-1
2x + 7y = -49

Answers

Answer:

x = -21/2

Step-by-step explanation:

y= 2/7 x-1

or, 7y= 2x -7

or, 2x -7y =7

2x + 7y = -49

4x = -42

x= -21/2

y= 2/7 × -21/2 -1

= -4

PLEASE HELP ITS DUE IN AN HOUR!!!!!!

Answers

Answer:

3 units to the right of -5

Step-by-step explanation:

Please help trigonometry and special right trianglez

Answers

Answer:

Step-by-step explanation:

Is 3times4 the same as 4 times 3​

Answers

Answer:

Yes, 3x4=12 and 4x3=12

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

3 × 4 = 12

4 × 3 = 12

Tayler works at a bicycle shop. When he sells a bicycle, he earns 6% of the sale price as a commission. One day Tayler sold 1 bicycle for $125 and 2 bicycles for $75 each. What was the total amount of commission he earned?

Answers

Tayler made $16.5


$72x2=$150
$150+125=$275
6% of 275= $16.5

Help plzzzzzzxhshshxyxush

Answers

Answer:

a.

Step-by-step explanation:

because "six hundered one" is 601 and "five hundredths" is .05 so the only number with both those 2 is a so the awnser is a.

Is it right ????????

Answers

Answer:

yeah

Step-by-step explanation:

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

D, 261

Step-by-step explanation:

Divide all of the answer choices by 9. The answer is the one with the whole number. 261/9=29 29=whole number so D is the answer.

Hope this helps! If it did, please give brainliest! It would help a lot! :D

Answer:

261

Step-by-step explanation:

If the farmer used 9 boxes and each had the same number, we need to find the number that's divisible by 9.

There's a great fact - a number is divisible by 9 if its sum of digits is divisible by 9.

Let's use that fact on the answers first:

281 -> 2 + 8 + 1 -> 11 -> 1 + 1 -> 2; not divisible by 9

273 -> 2 + 7 + 3 -> 12 -> 1 + 2 -> 3; not divisible by 9

261 -> 2 + 6 + 1 -> 9; divisible by 9

Please note that we could just say that 11 is not divisible by 9, but I wanted to show that we can do it again - nothing stops us and it still works.

To know why this method works, note that a number ABC is equal to:

100 * A + 10 * B + C = 99 * A + 9 * B + (A + B + C) = 9*(11*A + B) + (A + B + C)

And we know that 9*(11*A + B) is divisible by 9 because it's literally 9 times something. So A+B+C is equal to ABC minus something divisible by 9, and that proves what we needed.

Triangles & Trigonometry

Answers

Answer:

Answer: x = y = 2√7

Step-by-step explanation:

x = (2√14)cos45

x = (2√14)½√2

x = √14(√2) = √28 = 2√7

y = (2√14)sin45

y = (2√14)½√2

y = √14(√2) = √28 = 2√7

The base of the pyramid is a right triangle



The volume is ____ cubic cm.

Answers

Answer:

37 cubic cm should be the answer sorry if I am wrong

If the measure of angle CBD is 5(7x + 15) degrees, then what is the value of x. (Angle CDB is 180)
x =

Answers

Answer:

[tex]\huge\boxed{\sf x = 3 }[/tex]

Step-by-step explanation:

If the measure of :

∠CBD = 5 ( 7x + 15 )

Also,

∠CBD = 180°

Then,

5 (7x + 15) = 180

35x + 75 = 180

Subtract 75 to both sides

35x = 180 - 75

35x = 105

Divide both sides by 35

x = 105 / 35

x = 3

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Pls helpp It is due today

Answers

Answer:

$13.75

Step-by-step explanation:

d= 9.75

43 - 3(9.75) = 13.75

The answer would be $13.75

WILL GIVE BRAINLIEST

Answers

Answer:

B. 12

Step-by-step explanation:

First, we need the degrees for A. So, cosx = 5/13    =    67.4

Now it will be easy to solve a. tan67.4° = a/5    =   12.011728511....

we round it to the nearest tenth and we get 12.

Step-by-step explanation:

By pythagoras theoram

[tex]c = \sqrt{a2 + b2} [/tex]

13=a²+5²a²=13²--5²a²=169--25a²=144

I think this is a helpful for you

please i will give you brainly -1,8÷9 I need step by step​

Answers

Answer:

-0.2

I couldn't get step by step but hope this answer helps out a little...

(Do you need it for ur assignment?)

Step-by-step explanation:

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative

I wasn't sure if the comma was a typo in your question but I Hope this helps :)

Write the directed line segment ratio as a fraction.
3:4
O [tex]\frac{3}{12}[/tex]
O [tex]\frac{4}{3}[/tex]
O [tex]\frac{3}{7}[/tex]
O [tex]\frac{4}{3}[/tex]

Answers

3:4 as a fraction is 4/3
D! The answer is 4/3

5^-2 + 7^0

PLSSS HELP MEEE IM IN SCHOOL RIGHT NOW

Answers

TRY THIS

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] {5}^{ - 2} + {7}^{0} \\ = \frac{1}{ {5}^{2} } + 1 \\ = \frac{1}{25} + 1 \\ = \frac{1 + 25}{25} \\ = \frac{26}{25} [/tex]

Hope it will help :)❤


The area of a sector of a circle of radius 5
cm, formed by an arc of length 3.5 cm is
(a) 8 cm?
(b) 8.75 cm?
(c) 9.5 cm?
(d) 7.9 cm?

Answers

Answer:

A = 8.75 cm²

Step-by-step explanation:

Given that,

Radius, r = 5 cm

The arc length, l = 3.5 cm

We need to find the area of a sector. Let [tex]\theta[/tex] be the angle. So,

[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{3.5}{5}\\\\\theta=0.7\ rad[/tex]

The formula for the area of sector when [tex]\theta[/tex] is in radian is  given by :

[tex]A=\dfrac{1}{2}\times \theta r^2\\\\A=\dfrac{1}{2}\times 0.7\times 5^2\\\\A=8.75\ cm^2[/tex]

So, the area of the sector is 8.75 cm².

Answer: (b)

Step-by-step explanation:

Given

the radius of circle r=5 cm

arc length  [tex]l=3.5\ cm[/tex]

Arc length is also given by

[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]

[tex]\Rightarrow 3.5=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 5\\\\\Rightarrow \theta =40.10^{\circ}[/tex]

Area of the sector is given by

[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\times \pi r^2\\\\\Rightarrow A=\dfrac{40.101^{\circ}}{360^{\circ}}\times 3.142\times 5^2\\\\\Rightarrow A=8.749\approx 8.75\ cm^2[/tex]

The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)

Answers

Answer:

A) The test statistic is approximately 7.5056

B) E. There is no evidence that diet is independent of backfat thickness

Step-by-step explanation:

The given data are;

The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm

The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm

The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18

The sample mean for pigs raised on Diet 2,  [tex]\overline x_2[/tex] = 3.37 m

The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm

The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18

The pooled SE = 0.09

A) The test statistic is given by the following formula;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]

The test statistic, t ≈ 7.5056

B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17

At a confidence level of 95%, the critical value is 2.11

Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet

Therefore, there is no evidence that diet is independent of backfat thickness

are Equilateral triangles always acute triangles.

Answers

Answer:

Yes, they can only have acute angles (all measure 60°)

Step-by-step explanation:

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