distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.

Answers

Answer 1

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = [tex]\sqrt{(2-2)^2+(a+1)^2}[/tex] = [tex]\sqrt{0+(a+1)^2}[/tex] = [tex]\sqrt{(a+1)^2}[/tex] = a + 1 then

a + 1 = 4 ( subtract 1 from both sides )

a = 3


Related Questions

v fewer than the quotient of 3 and w

Answers

The mathematical statement as an expression is 3/w - v

How to represent the mathematical statement as an expression?

The mathematical statement is given as

v fewer than the quotient of 3 and w

The quotient of numbers means division

So, we have

v fewer than the 3/w

V fewer than means - v

So, we have

3/w - v

Hence, the mathematical statement as an expression is 3/w - v

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How many ways can the teacher choose 5 girls to present their reports on Monday, and 5 boys to present their reports on Tuesday? Using (15C5), (14C5)

Answers

Answer:

6,012,006

Step-by-step explanation:

:0

X-y= 1
What is this in slope intercept form

Answers

Answer:

y = x + 1

Step-by-step explanation:

x - y = 1

-y = 1 - x

(-1) -y = -1 (1 - x)

y = x + 1

Please help!

Twelve cards are numbered from 1 to 12 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting two even numbers?

Answers

50% or 1/6

Its because half the numbers would be even.

Which decimal is lower

0.05
0.045
0.04125

Answers

0.04125 is the answer
0.04125 is your answer

how many integers satisfy -5≥-7x and -15≥5x

Answers

The number of integers that satisfies the inequalities, -5 ≥ -7•x and -15 ≥ 5•x is zero or non

How can the inequalities be simplified?

The given inequalities are;

-5 ≥ -7•x and -15 ≥ 5•x

Simplifying the inequalities gives;

-5 ≥ -7•x

Dividing both sides by -7 gives;

-5/-7 ≤ -7•x/-7 = x

Therefore;

5/7 ≤ x

Which gives;

x ≥ 5/7

The second inequality is simplified as follows;

-15 ≥ 5•x

-15/5 ≥ 5•x/5

-3 ≥ x

Which gives;

x ≤ -3

Therefore;

-3 ≥ x and x ≥ 5/7

5/7 ≤ x ≤ -3

However, 5/7 > -3

The number of integers that satisfies the inequality, 5/7 ≤ x ≤ -3, is zero (no integer satisfies the inequality).

Therefore;

Non of the integers satisfies both -5 ≥ -7•x and -15 ≥ 5•x

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PLEASE HELP ME ANSWER THESE QUESTIONS will give BRAINLIEST

1. The numerator of a certain fraction is 3 more than the denominator. If 3/2 is added to the fraction, the result is 4. Find the fraction.

2. If 3/8 is added to five times the reciprocal of a number, the result is 1. Find the number.

3. One car travels 390 miles in the same amount of time it takes a second car traveling 3 miles per hour slower than the first to go 372 miles. What are the speeds of the cars?

Answers

9514 1404 393

Answer:

5/2 8 65 mph, 62 mph

Step-by-step explanation:

The first two problems can be solved in your head by working backward from the end result.

__

1. After 3/2 is added, the result is 4. Then we must be adding 3/2 to 4 -3/2 = 5/2. We notice that 5/2 already has the numerator 3 more than the denominator, so the fraction of interest is 5/2.

__

2. If 3/8 is added to a number giving a result of 1, the number must be 1 -3/8 = 5/8. That is 5 times 1/8. The number of interest is the reciprocal of 1/8, so is 8.

__

3. Let x represent the speed of the faster car. Then x-3 is the speed of the slower car, and the two times are ...

  time = distance/speed

  390/x = 372/(x-3)

  390(x -3) = 372x . . . cross multiply

  18x = 1170 . . . . . . . add 1170-372x

  x =  65 . . . . . . . . . . divide by 18

The speeds of the cars are 65 mph and 62 mph.

10 MINUTES LEFT PLZ HELP ME ASAP!!

What is x? Show your work.

Answers

Answer: x=5.75

Step-by-step explanation:

4x+5=28

subtract 5 from both sides

4x=23

divide both sides by 4

x=5.75

In the given figure it looks like rhombus , so we know that all sides of rhombus are equal

Thus

FG=EG

28=4x+5

28-5=4x

23=4x

x=23/4

Could you answer this please with a picture of your work

Answers

Answer:

there is nothing tho for people to answer

Answer:

I have no idea what to answer.

Step-by-step explanation:

I suggest taking a photo of what u want us to answer and save it to a pdf then click on the paperclip at the bottom. :)

Sorry for the inconvenience

Characterize the slope of the line in the graph.
A. Positive
B. Negative
C. Zero
D. Undefined

Answers

The slope is negative

Answer:

B. Negative

Step-by-step explanation:

The slope is negative because of the fact that it is slanted going downwards if it was slanted going upwards it would be positive.

Box method, I don’t know the missing numbers

Answers

Answer:

5) x

6) -7

7) 3

Step-by-step explanation:

if you fill in those numbers and solve, x times x = [tex]x^{2}[/tex], x times -7 = -7x, 3 times x = 3x, and -7 times 3 = -21.

Is 8.78778777
a rational or irrational number?

Answers

Answer:

Yes

Step-by-step explanation:

This is rational because its in a pattern that is repeating

Please help me!!!!! I have a quiz due in 10 minutes!

Answers

Answer:

since it bisects angles 1 and 2 this makes them equivalent to each other

angle 1 = angle 2

and if angle 1 is equal to angle 3 than angle 2 must also be equal to angle 3

The total operating cost to run the organic strawberry
farm varies directly with its number of acres. What is
the constant of variation in this scenario?
If the total operating cost for a 20-acre organic.
strawberry farm is $551,520, how many acres are on a
farm with a total operating cost of $441,216?
acres

Answers

Answer:

A. How to determine the constant

  Let the total cost be C

   Let the number of acres be A

From the question given above,

C ∝ A

C = KA

K = C / A

   Total cost (C) = $ 551520

   Number of acres (A) = 20 acres

   Conctant (K) =?

K = C / A

K = 551520 / 20

K =  27576 dollar/acre

B. How to determine the number of acres

   Total cost (C) = $ 441216

   Constant (K) =  27576 dollar/acre

   Number of acres (A) =?

C = KA

Divide both side by K

A = C / K

A = 441216 / 27576

A = 16 acres

Answer:

27,576 and 16

Step-by-step explanation:

edge

The sum of two numbers is 9. The difference in their squares is also 9. Find the numbers.

Answers

Answer:

5 and 4

Step-by-step explanation:

4 + 5 = 9

25 - 16 = 9

Answer:

4 & 5 i think

Step-by-step explanation:

1+8=9

2+7=9

3+6=9

4+5=9

Write an equation of the parabola with focus (2, 2) and vertex (2, 6)

Answers

An equation of the parabola with focus (2, 2) and vertex (2, 6) is  mathematically given as

(x-2)^2=-16(y-6)

This is further explained below.

Write an equation of the parabola with focus (2, 2) and vertex (2, 6)?

Generally, A planar curve that is mirror-symmetrical and has an approximation of the form of the letter U is called a parabola.

It agrees with a number of mathematical descriptions that, at first glance, seem to be very distinct from one another, but which can be shown to describe the same curves. A point and a line are two components that may be used to describe a parabola.

In conclusion, It can be shown theoretically that the equation of the parabola with focus (2, 2) and vertex (2, 6) is as follows:

(x-2)^2=-16(y-6)

Read more about parabola

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subtract (3x - 7x^2 + 2) - (4x^2 - 5 + 6x)

Answers

Answer:

-3x-11x²+7

Step-by-step explanation:

Help! keep getting different answers! thanks

Answers

Answer:

it A

Step-by-step explanation:

tan c=opp c/adj c

tan c=7/16

tan c=0.44

Answer:

D

Step-by-step explanation:

The tangent of C = opposite (7) over the adjacent (18)

Tan C = 7/18

Tan C = 0.388

The closest answer is D

41:18
The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the number of pages in an album. Which statement describes another point on the graph of this function?

A 50-page photo album holds 400 photographs.
An 80-page photo album holds 560 photographs.
A 100-page photo album holds 8,000 photographs.
A 900-page photo album holds 8,400 photographs.

Answers

Answer:

I believe the answer is the 3rd choice witch would be c

Find each angle measure.
4. Find tº in the acute
triangle.
5
tol
Class comments
55° 60°

Answers

Answer:

Let's create this right triangle.  We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C.  If the ratio is 5:4, then it is A:C.  5+4 = 9.  The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10.  So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees.  The smallest angle, angle C, is 40 degrees.

Step-by-step explanation:


Write the slope of a line perpendicular to y=-6x+4. Explain why it is perpendicular

Answers

Answer:

1/6 is the slope since you have to flip it

Step-by-step explanation:

Answer:

The slope of a line perpendicular to the equation is 1/6 or x/6.

This is perpendicular because it is the reciprical of the other equation

Step-by-step explanation:

y=-6x+4.

the slope intercept form is y=mx+b

m is the slope

m=-6

for the equation to be perpendicular then the slope is the reciprical

Knowing this lets find a line perpendicular to this equation

Equation:

y=1/6x+2/3

or

y=x/6+2/3

renee collects baseball and football cards. the number of baseball cards is more than twice the number of football cards . all together renee has 80 cards. how many of each type of card does renee have ?

Answers

Answer:

60 baseball and 20 football

Step-by-step explanation:

Evaluate 2× √49/14 trkylzzzzzzzzzzzzzzzzzzzxy

Answers

Answer: 1

Step-by-step explanation:

Given the expression :

Evaluate : 2× √49/14

2 * (√49) / 14

√49 = 7

2 * (7 / 14)

2 * (1 / 2)

2 /2

= 1

Answer this for me please lol

Answers

The origin is included in the in the shaded region and the shaded area is above the line
the origin is not included and the shaded region is above the line

17. Your class wants to raise at least $100 for a charity by collecting bottles. Each glass bottle earns $0.05. Each plastic
bottle earns $0.10.
a. Describe the numbers of glass bottles your class needs to collect if no plastic bottles are collected.
b. Describe the numbers of plastic bottles your class needs to collect if no glass bottles are collected.
c. Write an inequality that represents how many of each type of bottle your class can collect to reach the goal.

Answers

Considering the definition of an inequality, you get:

a. the numbers of glass bottles your class needs to collect if no plastic bottles are collected is 2000.

b. the numbers of plastic bottles your class needs to collect if no glass bottles are collected is 1000.

c. the inequality that represents how many of each type of bottle your class can collect to reach the goal is 0.05×g + 0.10s≥100.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that:

Your class wants to raise at least $100 for a charity by collecting bottles.Each glass bottle earns $0.05. Each plastic bottle earns $0.10.

Being:

"g" the numbers of glass bottles your class needs to collect."p" the numbers of plastic bottles your class needs to collect.

a. the numbers of glass bottles your class needs to collect if no plastic bottles are collected is calculated as:

0.05×g≥100

Solving:

g≥100÷ 0.05

g≥2000

b. the numbers of plastic bottles your class needs to collect if no glass bottles are collected is calculated as:

0.10×s≥100

Solving:

s≥100÷ 0.10

s≥1000

c. the inequality that represents how many of each type of bottle your class can collect to reach the goal is:

0.05×g + 0.10s≥100

In summary, you get:

a. the numbers of glass bottles your class needs to collect if no plastic bottles are collected is 2000.

b. the numbers of plastic bottles your class needs to collect if no glass bottles are collected is 1000.

c. the inequality that represents how many of each type of bottle your class can collect to reach the goal is 0.05×g + 0.10s≥100.

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Carlos hi. This is 4 only Carlos

Answers

Answer:

hi thanks for the points

5. Factorise: p2 - 11p +30

Answers

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

p^2 - 11p + 30

find what two numbers added together is -11 but multiplies together is 30, its' -5 and -6 so:

(p - 5)(p - 6)

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

Given

p² - 11p + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 11)

The factors are - 5 and - 6, since

- 5 × - 6 = + 30 and - 5 - 6 = - 11 , thus

p² - 11p + 30 = (p - 5)(p - 6) ← in factored form

30 points! PLS HELP IF U SMART
Hunter owns a food truck that sells tacos and burritos. He sells each taco for $3.25 and each burrito for $6.50. Yesterday Hunter made a total of $520 in revenue from selling a total of 120 tacos and burritos. Graphically solve a system of equations in order to determine the number of tacos sold, x,x, and the number of burritos sold, yy.

what are the two equations?

Answers

Answer:

y = 40             x = 80

Step-by-step explanation:

520 = 3.25x + 6.5y     and   x+y=120

x+y=120

x = 120-y

520 = 3.25(120-y)+6.5y

520 = 390-3.25y+6.5y

520 = 390+3.25y

130=3.25y

40 = y

x = 120-y

x = 120-(40)

x = 80

here's a graph

Y=40 x=80 ty for your time

Which equation represents a proportional relationship?

y = 7x =3

y = 150x

y = 2x + 1

Answers

9514 1404 393

Answer:

  y = 150x

Step-by-step explanation:

If the relationship is proportional, there is no added constant. The relation that is proportional is ...

  y = 150x

(Hello people) choose the correct transition word to complete the body paragraph ✅✨​

Answers

Answer:

i love pidddd

Step-by-step explanation:

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