Find x so the distance between (x,−1) and (4x−2,5) is 10

Answers

Answer 1

Answer:

[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]

Step-by-step explanation:

(x,−1) and (4x−2,5) is 10

[tex] \sqrt{(4x - 2 - x)^2 + (-1 - 5)^2} = 10 [/tex]

[tex] (3x - 2)^2 + (-6)^2 = 100 [/tex]

[tex] 9x^2 - 12x + 4 + 36 = 100 [/tex]

[tex] 9x^2 - 12x + 40 = 100 [/tex]

[tex] 9x^2 - 12x - 60 = 0 [/tex]

[tex] 3x^2 - 4x - 20 = 0 [/tex]

[tex] 3x^2 - 10x + 6x - 20 = 0 [/tex]

[tex] x(3x - 10) + 2(3x - 10) = 0 [/tex]

[tex] (3x - 10)(x + 2) = 0 [/tex]

[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]


Related Questions

ABCD is a square and it's side is 16 cm long. What is the area of the shaded part?​

Answers

Answer:

I'm sorry I can't help because I don't know what part is shaded.  Note: Since a square has the same length for each side all the sides are 16 cm.

Area and Perimeter for WHOLE square:

A: 256 sq cm

P: 64 cm

A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly selected dives by 7 different otters, recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met.

Predictor Coef SE coef T P
Constant 52.789 5.257 10.04 0.000
Water temp 3.3684 0.4216 7.990 0.002
S= 5.557 R- Sq= 92.7% R-Sq(adj)= 91.3%

Required:
What is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?

Answers

Answer:

0.4216

Step-by-step explanation:

from the data given The estimate of the standard deviation of the sampling distribution of b,

( The slope of the sample regression line for the relationship )

= 0.4216  (  i.e. intersection of SE coef and water temperature )

Testing the effect of water temperature on the length of time sea otters can remain

Suppose a student typically spends 5/2 hours each week doing research on the Internet. How much research time does a student spend each device in 1 week?​

Answers

Answer:

Step-by-step explanation:

5/2 hours = 2 1/2 hours

2 1/2 hours = 120 minutes + 30 minutes = 150 minutes.

I don't know if he has more than 1 device or not. But if he does, then this time is the base and you just multiply by 2 1/2 for each device.

Answer:

Solution given:

a student typically spends 5/2 hours each week

research time does a student spend each device in 1 week=5/2=2hours and 30min=150minutes

PLEASE HURRY WILL MARK BRAINLEST
If the odds of being born on each day of
the week is equal, what is the probability
of two separate babies both being born
on a school day? (Monday through
Friday)

Answers

Answer:

1/25

Step-by-step explanation:

days in a week is 7

odds of being born on each 7 days is equal

x born = 7 days

pr(one separate baby) = 1 ÷ 5

pr(second separate baby) = 1 ÷ 5

pr(both being born on a school day) = 1/5 × 1/5

= 1/25

!NO LINKS, NO FILES!

please :)

Answers

Answer:

132

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2}[/tex]

where b = base and h = height

The following triangle has a base length of 33 m and a height of 8 m

Using this information we plug in the values into the formula

[tex]A=\frac{33*8}{2} \\33*8=264\\\frac{264}{2} =132[/tex]

hence, the area of the triangle is 132 square meters

help with this math assignment

Answers

A:
2)6x6=36
3)7x7=49
5)11x11=121
6)13x13=169
7)20x20=400


B:
1)8 5)2
2)10 6)0
3)9 7)5
4)4 8)12



Ralphie's dad has a nutritionist who instructed him to consume less than 2,163 calories per day. He has already consumed 1,503 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?

Answers

Answer:

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

40 POINTS!!!
Which polynomial contains the powers in descending order?

Answers

Answer:

B.

Step-by-step explanation:

What is the probability of choosing a red card from a deck of cards? Type your answer as a fraction.

Answers

Answer:

26/52 or 1/2

Step-by-step explanation:

There are 1-9, King, Queen, Jack, for both Diamonds and Hearts

Harold can solve 25 math problems in 40 minutes. At that rate, how many minutes will it take Harold to solve 60 math problems?

Answers

25 problems in 40 minutes
60 problems in x minutes
25x=2400
x= 96
96 minutes

A recipe for lemonade requires 10 parts of water to
every 6 parts of lemon juice. How many cups of
water should be added to 30 cups of lemon juice
to make the lemonade?


Does anyone know this ??

Answers

Answer:

50 cups water

Step-by-step explanation:

10 cups water     = 6 cups lemon juice

x   cups water     = 30 cups lemon juice

To get from 6 to 30, we needed to do x5, so lets do that for 10 as well.

10x5 cups water = 30 cups lemon juice

50 cups water    = 30 cups lemon juice

What is the area of the figure . Round to the nearest tenth.

Answers

Answer: its 40.0 m²

Step-by-step explanation:

A=wl=4·10=40.0 m²

your welcome

Answer:

the answer is D

Step-by-step explanation:

Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2

Answers

Answer:

x = 2

y = 1

Step-by-step explanation:

Answer:

x= 2

y= -1

Step-by-step explanation:

Review graph I and graph II.

On a coordinate plane, a parabola labeled Graph 2 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0).

On a coordinate plane, a parabola labeled Graph 1 opens down. It goes through (negative 2, 0), has a vertex at (negative 2, 7), goes through open circle (negative 4, 5), and goes through (negative 6, 0). An open circle is at (negative 4, 8).

Which statement compares the limit as x approaches –4 for the two graphs?

In both graph I and graph II, the limit is 5.
In both graph I and graph II, the limit does not exist.
In graph I, the limit does not exist, but in graph II, the limit is 5.
In graph I, the limit is 8, but in graph II, the limit does not exist.

Answers

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

:)

Answer:

A - in both graph I and graph II, the limit is 5

Step-by-step explanation:

the guy above me lol

Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?

Answers

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

To know more about Percentage on:

https://brainly.com/question/24120406

#SPJ1

Marcy can walk 12 blocks in 5 minutes. If each block is 50 feet long, how many feet will she walk during the 30 minutes that she walks each dog?

Answers

Answer:

3600ft.

Step-by-step explanation:

12blocks x 50ft/block = 600 feet/5min.

30min/5min = 6

600 x 6 = 3600 ft.

Determine the amplitude or period as requested. Amplitude of y = cos 5x a (2pi)/5 b 1 d 5

Answers

Answer:

The amplitude is 1

Step-by-step explanation:

Given

The right function is:

[tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]

Required

Determine the amplitude

The general cosine function is:

[tex]y = A\cos(k(x + c)) +d[/tex]

Where

[tex]Amplitude = |A|[/tex]

Compare [tex]y = A\cos(k(x + c)) +d[/tex] and [tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]

[tex]A = 1[/tex]

So:

[tex]Amplitude = |1|[/tex]

So, we have:

[tex]Amplitude = 1[/tex]

Find the volume of the composite solid shown in figure

Answers

Answer:

113.14cm^3

36π cm^3

Step-by-step explanation:

the composite solid is made up of a cylinder and a hemisphere

volume of solid = volume of cylinder + volume of hemisphere

volume of a cylinder = nr^2h

n = 22/7

(22/7) x (3^2) x 2 = 56.57 cm^3

or in terms of pi = 18π

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

(2/3) x (22/7) x (3^3) = 56.57 cm^3

or in terms of pi = 18π

volume of solid = 56.57 cm^3  x 2 = 113.14cm^3

or 18π x 2 = 36π cm^3

56.57

what is equivalent to
(3x+1)(4x-1)

Answers

(3x+1)(4x-1)

3x+4x=7x
1-1=0

So

(3x+1)(4x-1) = 7x

I hope this helped and was right, have a nice day

Parka's and more was having a 10% off sale. Find the amount saved on a rain jacket that regularly costs $74.00.

Answers

Answer:

7.4

Step-by-step explanation:

10% of 74 is 7.4 by moving the decimal over one place. This will save them $7.40

Think the answer is 7.4 hope this helps .

SOLVE FOR X AND Y!!! DUE IN 2 HOURS!!!

Answers

Answer:

x = 5, y = 5

Step-by-step explanation:

The scale changes from 8 to x+y

to find the change in scale, use the bottom values.

2 + 3 = 5 | 1 + 3 = 4

5/4 = 1.25 (the scale)

8 * 1.25 = 10

x+y = 10

There are 2 possibilities for this, but I feel like it is possibility #1

1. x = 5, y = 5

2. x = 4, y = 6

hewp pwease ☺️thanks

Answers

The Answer Is 35 Inches Squared

What shape are the faces, other than the base,
of a pyramid?

Answers

Answer:

The base of the pyramid is a triangle, and the lateral faces are also triangles.

Please help: What is the area of this shape?

Answers

Use formula of triangle ((1/2) base times height )and rectangle ( length times width )

which equation has (2, -1) as a solution
a. y=2x-1
b. y=x+3
c. y=x-3
d. y=-2x+1

Answers

Answer:

y=x-3

-1=2-3=-1

............

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier study, the population proportion was estimated to be 0.3 . How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03

Answers

Answer:

A sample of 383 would be required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In an earlier study, the population proportion was estimated to be 0.3.

This means that [tex]\pi = 0.3[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03?

A sample of n is needed.

n is found when M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.28\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.28\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.28\sqrt{0.3*0.7}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.28\sqrt{0.3*0.7}}{0.03})^2[/tex]

[tex]n = 382.3[/tex]

Rounding up:

A sample of 383 would be required.

WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!

Answers

Answer:

916.1 cm^3

Step-by-step explanation:

1) find the radius of the cylinder:

radius = dimater / 2 = 7,3 / 2 = 3.65 cm

2) find the base area of the cylinder:

base area = radius^2 x 3.14 = 3.65^2 x 3.14 = 41.83265 cm^2

3) find the height of the cylinder:

height = 7.3 x 3 = 21.9 cm

4) find the volume

V = base area x height = 41.83265 x 21.9 = 916.135035 cm^3

5) round to nearest tenth:

916. 1 cm^3

What is the volume of a rectangular prism with the dimensions

Answers

Para calcular el volumen  de un prisma rectangular, multiplica sus 3 dimensiones: longitud x ancho x altura.

Which statement is true about

Answers

Answer:

About what and give me the picture

Help sue at 12am and it’s 10 pm



..........plsssssssssssssssss

Answers

Answer:

a = 4

b = 5

c =6

Step-by-step explanation:

i hope it helps

the answers are absolutely correct

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