the abscissa of a point is -6 and its distance from the point (1,3) is √74. find the ordinate of the point​

Answers

Answer 1

[tex]\huge\fbox{Answer ☘}[/tex]

we know that ,

• absicca of a point = x - coordinate of that point

• ordinate of a point = y - coordinate of that point

therefore , let the point be A( -6 , y )

also ,

we're given an another point , i.e. ,

B( 1 , 3 )

[tex]distance \: between \: the \: two \: points = \sqrt{74} \\ \\ \sqrt{( x_{2} - x_{1}) {}^{2} \: + ( y_{2} - y_{2}) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(1 - ( - 6)) {}^{2} + (3 - y) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(7) {}^{2} + (9 + y {}^{2} - 6y)} = \sqrt{74} \\ \\ \sqrt{49 + 9 - y {}^{2} - 6y} = \sqrt{74} \\ \\ ✯\:\:\bold\blue{squaring \: both \: sides} \\ \\ 49 + 9 - y {}^{2} - 6y = 74 \\ \\ - y {}^{2} - 6y + 58 = 74 \\ \\ y {}^{2} + 6y - 58 = - 74 \\ \\ y {}^{2} + 6y - 58 + 74 = 0 \\ \\ y {}^{2} + 6y - 16 = 0 \\ \\ y {}^{2} + 8y - 2y - 16 = 0 \\ \\ y(y + 8) - 2(y + 8) = 0 \\ \\ (y + 8) = 0 \: \: and \: \: (y - 2) = 0 \\ \\ y = - 8 \: \: or \: \: y = 2[/tex]

therefore , the ordinate of point A is either ( -8 ) or ( 2 )

hope helpful~


Related Questions

HELP PLEASE! whats the height and base??

Answers

Answer: 7.5

Step-by-step explanation:

Area of the bottom left triangle = 4x3/2 = 6

Bottom right = 6x3/2 = 9

Top right = 3x4/2 = 6

Top left = 6x3/2 = 9

6+9+6+9 = 30

Each square unit is 4

So the answer should be 30/4 = 7.5

Hope this is correct

A birch tree that is 4 ft tall grows at a rate of 1 ft per year. A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.

Let the variable t represent time in years and let the variable h represent height in feet.

In how many years will the trees be the same height?

Which system of equations can be used to solve this problem?




{h=1+4th=0.5+6t

{h=4+th=6+0.5t

{h=5th=6.5t

{h=4−th=6−0.5t

Answers

Answer:

h=1+4th=0.5+6t

Step-by-step explanation:

you have to multiply t and h by four and 1 separately

Answer:

H=4+t

H=6+0.5t

Step-by-step explanation:

Took the test the other answer is wrong.

Which shows how to find the x-coordinate of the point that will divide AB into a 2:3 ratio using the formula x=(a/a+b)(x2-x1)+x1?

Answers

Let,

A = x1 = 2B = x2 = 3

Now, Plug in the values in the formula

[tex] \boxed{ \sf \multimap \: x = ( \frac{a}{a + b})( x_{2} - x_{1}) + x_{1} }[/tex]

[tex] \tt\nRightarrow \: x = ( \frac{2}{2 + 3} )( - 3 - 2) + 2[/tex]

[tex] \bf \Rrightarrow \: x = (\frac{2}{5} )( - 3 - 2) + 2[/tex]

Therefore, Option C is the correct choice!!~

can someone help me please ​

Answers

Answer:

  a) 1.2 seconds

  b) 50 bpm

Step-by-step explanation:

a)

The period is the value of t that makes the angle be 2π:

  5πt/3 = 2π

  t = 3(2π)/(5π) = 6/5

The period of the function is 6/5 = 1.2 seconds.

__

b)

The number of beats per minute is ...

  (1 beat)/(1.2 s) × (60 s)/(1 min) = 60/1.2 beats/min = 50 beats/min

Sum of two numbers 80 and difference is 40. Find two
numbers.

Answers

Answer:

The two numbers are 20 and 60

Step-by-step explanation:

Two numbers: x and y

x + y = 80

x - y = 40

x = y + 40

Substitute x

y + 40 + y = 80

2y + 40 = 80

2y = 40

y = 20

Substitute y, so x = 60

An equation of the circle with center (h, k) and radius r is (−ℎ)^2+(−)^2=^2

Answers

Answer:

An equation of the circle with center (h, k) and radius r:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Step-by-step explanation:

Not sure what you need to find out but,

An equation of the circle with center (h, k) and radius r:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

1. When you add the fractions 5/8, 3/16 and 11/32 the answer is _____________ *

Answers

Answer:

37/32

Step-by-step explanation:

5/8 + 3/16 + 11/32 = 37/32

Answer:

1.15625 or 1 and 5/32

Step-by-step explanation:

Result

5/8 + 3/16

= 13/16

Result in decimals: 0.8125

Calculation steps:

5/8 + 3/16 =  

5 × 2

8 × 2

+

3

16

=  

10

16

+

3

16

=  

10 + 3/16 =  13/ 16

The next  step would be:

home / math / fraction calculator

Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator.

Result

13

16

+

11

32

=

37

32

=

1 5

32

Result in decimals: 1.15625

Calculation steps:

13

16

+

11

32

=  

13 × 2

16 × 2

+

11

32

=  

26

32

+

11

32

=  

26 + 11

32

=  

37

32

=  

1 5

32

Hope this helps! Have a nice day!

Please give brainliest when possible!

:3

I will give brainliest to the correct answers! yep that's YOU

Answers

Answer: Yes, because the amount of money you save for every beverage bought is constant, and if you buy 0 beverages, you’ll save $0. That means it the situation is graphed, the line produced will be linear and crosses through the origin, which are the requirements for a proportional relationship.

HELP!!! The number in front of a variable is known as a coefficient. What operation do we assume is in between the number and the variable. Example: 2x o addition O subtraction O multiplication O division​

Answers

Multiplication

2x represents 2 times ‘x’

answer both questions and get 20 points and brainliest ​

Answers

Answer:

item 30.

d. 1 ½ as we can see the difference between the each x value is 2 and y value is more of 1 and 2.

items 31.

a. ⅖ as similar to upper question the difference between each x value is 2 and y value is 5 so ⅖

The person who started Educational system ,was really educated?

If you have any doubt in maths you can ask ?

Answers

Answer:

me plase me me please meeee

Answer:

Education is started when humans arose in the world.

Step-by-step explanation:

I am unable to understand the laws of sin cosin tan cot sec etc

Question is in the image

Answers

Answer:

A is the correct answer

Pllllease help mmmme

Answers

Answer:

21/38

0.553

Step-by-step explanation:

There are 63 married males out of the total 114 males.

So the fraction is 63/114. That is simplified into 21/38

Then divide 38 by 21 to get the decimal form.

38÷21=0.55263...

if you are going 55 miles per hour how long will it be til you go 70 miles

Answers

Answer

time = 60 miles / (55 miles/hour) = (60/55) (miles/(miles/hour)) = 1.09 hour

Step-by-step explanation:

Speed = distance / time

A bit of algebra will get you the formula

time = distance/speed

Answer:

15sec if its a lamboghihi

Step-by-step explanation:

A real estate broker sold your house for $189,000 The broker's commission was 4.5% of the selling price. How much would you get for the house after the commission is paid ?

Answers

Answer: $180,495 is the take-home after the broker's commission.

Step-by-step explanation:

the diameter of the circle X is 12 centimeters. The diameter of the circle Y is 8 centimeters.
Which measurement is closest to the difference between the circumference of circle X and the circumference of circle Y in centimeters.

Answers

Answer:

20

Step-by-step explanation:

All you do add because it is with even numbers

The ratio of men to women working for a company is 2 to 3. If there are 87 women working for the company, what is the total number of employees?​

Answers

58 men if 2:3

From this 87+53= 145 which means

It will be 145 as the answer!

Please like and brainiest

Solve the compound inequality x + 6 > 4 and 3x + 5 < 5

Answers

Answer:

[tex]x + 6 > 4 \\ x > 4 - 6 \\ x > - 2 \\ and \\ 3x + 5 < 5 \\ 3x < 5 - 5 \\ 3x < 0 \\ \frac{3x}{3} < \frac{0}{3} \\ x < 0 \\ therefore \\ - 2 < x < 0 [/tex]

Vince worked 559 hours in 13 weeks. At what rate did he work in hours per week?

Answers

Answer:

Step-by-step explanation:

43 hours per week i think

Answer:

40 hours per week (40:1)

Step-by-step explanation:

559 / 13 = 39.93

39.93 rounded to the nearest whole number is 40.

.The Tigers scored nine times fewer points than the Eagles. The Tigers
scored 18 points. How many points did the Eagles score

Answers

Answer:

2

Step-by-step explanation:

18/9=2

its 9 times fewer than 18

The movement
Find the Least Common Denominator. Then, express each fraction using the Least Common Denominator.
7/10 and 5/6

Answers

Answer:

LCM of 7/10- 70

LCM of 5/6- 30

Step-by-step explanation:

Solution:

To find the Least common denominator (LCD) of 7/10 and 5/6, we need to find the Least common multiple of 10 and 6.

I found the LCM through division method. Refer to image attached~

We can tell that:

The LCM is 2 x 3 x 5, which when simplified, we obtain 30. The LCD is 30.

Now, let's multiply the denominators and the numerators such that 30 is the denominator in both fractions.

=> 7/10 = 7 x 3/10 x 3 = 21/30=> 5/6 = 5 x 5/6 x 5 = 25/30

The fractions are:

21/30 and 25/30

Solve for b.
b
-1 = 5
4
b = 1

Answers

Answer:

B= 16

b/4 - -1 =5 is the same as b/4 + 1 = 5

b/4 + 1 = 5

- 1 both sides

b/4 = 4

x 4 both sides

b=16

16/4 - -1 =5

4 + 1 = 5

- - Means add

+ + Means add

- + Means take away or minus

Hope this helps!

[tex] \frac{b}{4} - ( - 1) = 5 \\ \\ \frac{b}{4} + 1 = 5 \\ \\ \frac{b}{4} = 5 - 1 \\ \\ \frac{b}{4} = 4 \\ \\ b = \frac{4}{4} \\ \\ b = 1.[/tex]

The value of b is 1 .

This Is due tomorrow I really need the help, please make the answer short and simple

Answers

Answer:

Step-by-step explanation:

21.019=d

21.019+4=25.019 ft of rope

25.019x.45=11.26

He willpay $11.26 for the rope

What is the volume of this sphere?
Use a = 3.14 and round your answer to the nearest hundredth.
2 in

Answers

Answer:

33.49 cubic inches

Step-by-step explanation:

the volume of a sphere is represented by (4/3)pi(r)^3

pi is 3.14 and r is 2

so 4/3(3.14)(2^3)

2^3 is also 8

4/3(3.14)(8)

the final answer is 33.4933333

OR when rounded it is 33.49

Statement:

The radius of the sphere is 2 inches.

To find out:

The volume of the sphere.

Solution:

Radius (r) = 2 inπ we have to consider as 3.14.We know, volume of a sphere [tex] = \frac{4}{3} \pi \: {r}^{3} [/tex]Therefore, the volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(2)}^{3} \: \: cubic \: \: inches \\ = \frac{4}{3} \times 3.14 \times 8 \: \: cubic \: \: inches \\ = 33.49 \: \: cubic \: \: inches[/tex]

Answer:

The volume of the sphere is 33.49 cubic inches.

Hope you could understand.

If you have any query, feel free to ask.

Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial: -1 + 4a -4a^2

Answers

Answer:

-(1 - 2a)^2

Step-by-step explanation:

-1 + 4a - 4a^2

= -[1^2 - 2*1*(2a) + (2a)^2]

= -(1 - 2a)^2

Answer:

Step-by-step explanation:

Begin by taking out the minus

-(4a^2 - 4a + 1)     The answer is the square root of the 1st and 3rd terms.

√4a^2 = 2a

√1 = 1                    Since middle term is minus, one of 2a or 1 must also be minus

Usually the one is made minus.

That leaves you with a perfect square

- (2a - 1)^2   There are more ways than 1 to write this, but I think this is the clearest answer

The radius of circular pipe is 12cm,what length of tape is required to wrap once around the pipe(use pie =3.14)​

Answers

Answer:

75.36 cm

Step-by-step explanation:

We need to find the circumference of the pipe.

Circumference of a circle = 2[tex]\pi[/tex]r   (where r is the radius)

Given:

r = 12 cm[tex]\pi[/tex] = 3.14

⇒ circumference = 2 x 3.14 x 12 = 75.36 cm

i need help woth this quadratics questions, confused, i think the answer is 24 but the answer key says 34​

Answers

Answer:

then it's 34... sometimes I have a hard time understanding a math problem and I feel that... I suggest using Math*way without the (*) it helped me a lot through high school and college check it out see if you like it

Step-by-step explanation:

given g(x)=5x+3, find g(4)

Answers

Answer:

g(4) = 23

Step-by-step explanation:

g(x)=5x+3, find g(4)

g(4) = 5(4) + 3

g(4) = 20 + 3

g(4) = 23

Hope that helps!

Answer:

[tex] \boxed{g(4) \: is \: 23}[/tex]

Step-by-step explanation:

given :

g(x) = 5x + 3

find g(4)

Answer :

substitute 4 into the equation of function

[tex] g(x) = 5x + 3[/tex]

[tex]g(4) = 5(4) + 3[/tex]

[tex]g(4) = 20 + 3[/tex]

[tex]g(4) = 23[/tex]

Give an example using the subject of time to describe how to number patterns are related. go math 5th grade 563 9.5

Answers

Answer:

they are related by numbers

The residents of the city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there was 11,648 total votes, how many yes votes were there?

Answers

7168 yes votes

11,648/13=896
8(896)=7168 yes
5(896)=4480 no
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