I need help finding X

Given:

Point B has coordinates ​(4,1).

The​ x-coordinate of point A is -4.

The distance between point A and point B is 10 units.

To find:

The possible coordinates of point​ A.

Solution:

Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).

Distance formula:

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

The distance between point A and point B is 10 units.

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

Taking square on both sides, we get

[tex](8)^2+(1-y)^2=100[/tex]

[tex](1-y)^2=100-64[/tex]

[tex](1-y)^2=36[/tex]

Taking square root on both sides, we get

[tex](1-y)=\pm \sqrt{36}[/tex]

[tex]-y=\pm 6-1[/tex]

[tex]y=1\mp 6[/tex]

[tex]y=1-6[/tex] and [tex]y=1+6[/tex]

[tex]y=-5[/tex] and [tex]y=7[/tex]

Therefore, the possible coordinates of point​ A are either (-4,-5) or (-4,7).

Answer:

1/4 the new area

Step-by-step explanation:

Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected

Given that:

Initial dimension of patio = 5' by 10'

Initial area of patio = Area of rectangle = Length * width

Area of patio = 5 * 10 = 50 in²

If dimension is multiplied by 2

New dimension :

5* 2 by 10*2 = 10' by 20'

New area of patio :

10 * 20 = 200 in²

50 /200 = 1/4

The old area will be 1/4 the size of the new area of the patio

Answer:

16

Step-by-step explanation:

2x8

Answer:

With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.

Step-by-step explanation:

Answer:

1. False

2. True

3. True

Step-by-step explanation:

Answer:

1.96

Step-by-step explanation:

A farmer sells 9.8 kl of apples and pears

4/5 of this weight is apples, while the rest are pears

Therefore the wight of pears can be calculated as follows

Let x represent the weight of pears

9.8= 4/5×9.8 + x

9.8= 0.8×9.8+x

9.8= 7.84+x

9.8-7.84= x

x= 1.96

Answer:

88.8 cm square

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds

Answer:

Angle B: 28 degrees

Side a: 27.6

Step-by-step explanation:

Angle B:

180-112-40=28

Side a:

sin 28/14 = sin 112/a

a = sin 112(14)/sin 28

a = 27.6

Answer:

1). 4.2    2). 7.65    3). 14.14

Step-by-step explanation:

1). √(y2 - y1)² + (x2 - x1)²

√[-1 - (-4)]² + [-3 - (-6)]²

√(3)² + (3)²

√9 + 9

√18

= 4.2

2). √(2.5 - 1)² + ( -4 - 3.5)²

√(1.5)² + (-7.5)²

√(2.25) + (56.25)

√58.5

= 7.65

3).√(5 - (-5)² + (-5-5)²

√(10)² + (-10)²

√(100) + (100)

√200

= 14.14

Answer:

$50 for Brian

$90 for Tim

$100 for Kenny

Step-by-step explanation:

Let 5x = amt for Brian

     9x = amt for tim

     10x = amt for ken

5x + 9x + 10x = 240

24x = 240

x = 10

5x = 5(10) = $50 for Brian

9x = 9(10) = $90 for Tim

10x = 10(10) = $100 for Kenny

Answer:

Step-by-step explanation:

5x + 9x + 10x = $240

x = $10

Brian got 5x = $50

Tim got 9x = $90

Kenny got 10x = $100

Answer:

180 m

Step-by-step explanation:

Answer:

(0, 3 )

Step-by-step explanation:

To find the y- intercept , substitute x = 0 into f(x), that is

f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]

      = 3 × 1

      = 3

y- intercept = (0, 3 )

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]

For sample 2:

[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]

Calculating the null and alternative hypotheses:

[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]  

Calculating the test statistic:

[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]

Calculating the conservative degrees of freedom:

[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]

by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].

[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]

Answer:

there is no image

Step-by-step explanation:

Theres no image.........

Answer:

2669

Step-by-step explanation:

Given that :

Salary range = 876

Starting salary = 1793 monthly

The starting salary represents the minimum amount Micah can earn monthly

Therefore, the amount of money much can earn can be calculated thus :

Recall :

Range = maximum - minimum

876 = maximum - 1793

876 + 1793 = maximum

Maximum = 2669

Hence, the maximum salary Micha can earn is 2669 monthly

Answer:

Step-by-step explanation:

you need more information to be able to answer the question. Is there any other information they gave you?

i think you are right maybe but this is helpful sorry!

Answer:

$ is less than or equal to $16

Step-by-step explanation:

Answer:

option 3, double the height and with of original bottle

The methods which will create the larger water bottle with the intended volume is 1 and IV.

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water bottle.

Volume of a cylindrical shape = π r² h

Let V be the original volume.

If radius is doubled, then the new volume is,

V' = π (2r)² h = 4(π r² h) = 4V

So 1 is an option.

When the height is Quadrupled,

V' = π r² 4h = 4(π r² h) = 4V

Hence the correct options are 1 and IV.

Learn more about Volume here :

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Answer:

volume = 595 in³

Step-by-step explanation:

radius = 6/2 = 3

volume = 3.15(3²)(21) = 595.35 in³

Answer:

(1/2,0) is one solution

(-4/3,0) is the other solution.

Step-by-step explanation:

i hope this helps you it might not be right

Answer:

Hmmm

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6*6=36

6+10=16

2*10=20

Flower=10-6+20=24

72⁰

HOPE IT HELPS YOU THANK YOU ☺

Answer:

37 degree

Step-by-step explanation:

RQS is suspened by arcRS

RQS=1/2(RS)

RQS=1/2(74)

RQS=37

Answer:

14a-2

Step-by-step explanation:

The error interval for x would be (3.65, 3.75), indicating that the true value of x lies within this range.

Given that a number x is rounded to 1 decimal place and its 3.7.

We need to find the error of the interval for x,

To determine the error interval for the rounded number 3.7, we need to consider the possible range of values that could have been rounded to 3.7 when rounded to 1 decimal place.

When rounding to 1 decimal place, we look at the digit immediately to the right of the decimal point. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In this case, 3.7 is the rounded value, which means the original number could have been rounded up from a value greater than or equal to 3.65 or rounded down from a value less than 3.75.

Therefore, the error interval for x would be (3.65, 3.75).

Learn more about error interval click;

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Answer:

i dont know

Step-by-step explanation:

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.