Find the distance between (4,5) and the line y=-3/2x-2

Answers

Answer 1

Answer:

15

17

5

Step-by-step explanation:Given equation of lines can be written as

2x−y+4=0, 2x−y−

3

5

=0

Since, these lines are parallel .

So, d=

a

2

+b

2

∣c

1

−c

2

⇒d=

5

3

17

=

15

17

5

Answer 2

Answer:

1517

Step-by-step explanation:

Step-by-step explanation:Given equation of lines can be written as

2x−y+4=0, 2x−y−

3

5

=0

Since, these lines are parallel .

So, d=

a

2

+b

2

∣c

1

−c

2

⇒d=

5

3

17

=

15

17

5


Related Questions

A box of cereal states that there are 84 calories in a 3/4
​-cup serving. What is the unit rate for calories per​ cup?

Answers

answer: 112 cals per cup.
explanation: first you do 84 cals divided by 3= 28 . you want to multiply 28 by 4 to equal a cup. 28x4=112 .

Answer:

It is 112 calories per cup of cereal.

Step-by-step explanation:

multiply 3/4 by 4 and youll get 3 and them multiple 84 by 4 and you'll get 336. Divide 336 by 3 and youll get your answer.

Please help asap! I will give brainliest for correct answer!

Answers

Answer:

0.01miles/day

Step-by-step explanation:

1: Convert 9cm to miles

[tex]9cm*(\frac{1m}{100cm})*(\frac{1km}{1000m})*(\frac{1mile}{1.609km})=0.000055935miles[/tex]

2: Convert 5.5 minutes to days

[tex]5.5minutes*(\frac{1hour}{60minutes})*(\frac{1day}{24hours})=0.003819444 days[/tex]

3. Set miles over days

[tex]\frac{0.000055935miles}{0.003819444days}[/tex]

4: Divide to get the answer

0.014644 miles/day

5: Round to get the final answer

0.01 miles/day

(20pts) I need to know who is incorect and why

Answers

Answer:

i thig it is hj

Step-by-step explanation:

jk

.4(x + 7)

.4 + 7x- 5x -6

Answers

Answer:6/5x=7/x+2 Two solutions were found : x =(10-√940)/12=(5-√ 235 )/6= -1.722 x =(10+√940)/12=(5+√ 235 )/6= 3.388 Rearrange: Rearrange the equation by subtracting what is to the right

Step-by-step explanation:

How many 2 digit numbers have unit digit 6 but are not perfect squares

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

Of the 9 2-digit numbers ending in 6, only 2 are perfect squares: 16 and 36. The other 7 are not perfect squares.

What’s x? ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 

Answers

Answer:

I pretty sure it is F.1cm

On an airplane the passengers may have chicken vegetable or tomato soup

Half of the passengers choose the Chicken soup

A third of the passengers choose tomato soup

What fraction of the passengers chose soup?

There are 240 passengers on the airplane

How many passengers chose vegetable soup?

Answers

5/6
40
1/2 + 1/3 = 5/6
120 chose chicken and 80 chose tomato. So 40 chose vegetable

HELP!!
Lenor and Juan go to school together after leaving school Lenor drove 12 miles to get to his house and Juan drove 35 mile
get to his house. Based on the picture below what is the shortest distance from Lenor's house to Juan's house. (show your
for full credit)
a= distance Lenor drove
Lenor
b distance Juan drove
c=distance between
Lenor and Juan
Juan

Answers

Hhhhhhhhhhhhh
Gc he cry x.

the ball started at the 5 yard line. what is the position of the ball after these two plays

Answers

Answer:

you have to show a diagram or I can't help you

ABCD is a parallelogram and X and Y are any point on CD and AD respectively. Prove that triangle AXB and triangle BYC are equal in area. Prove that​

Answers

Answer:

See answer below

Step-by-step explanation:

ABCD is a parallelogram                     Given

BC ≅ AD; AB ≅ DC                             opposite sides of a parallelogram ≅

Δ AXB = 1/2 (AB)(AD)                           Formula for the area of a Δ

Δ BYC = 1/2 (BC) (DC)                           Formula for the area of a Δ

1/2 (AB)(AD)= 1/2(BC)(DC)                      Substitution

∴ Area of Δ AXB = Area of ΔBYC

What have you learned about geometric relationships?
PLEASE HELP 15 POINTS

Answers

Answer:

that you can define a tangent relationship between a line and an arc. If the adjoining elements change, the tangent relationship is maintained between the elements. Geometric relationships control how a sketch changes when edits are made.

Step-by-step explanation:

i took this i guess and it was gud

There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of the
boxes.

Answers

Answer:

5x pounds

Step-by-step explanation:

Here's the solution if you need, hope it's help

When determining domain it is important to work from

Answers

Answer:

use graphs

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

a 4-pack of frozen waffles costs 2.67 what is the unit price rounded to nearest cent?

Answers

Answer:

2.67 is the answer

Step-by-step explanation:

tell me if i am rong

please help solve for RN

Answers

Answer:

I guess...

Step-by-step explanation:

Since QR and PN are parallels, I think what happens in MN and MP is proportional, so:

RN = x

8 is to 10 as

5 is to x

8 * x = 5 * 10

8x = 50

x = 50 / 8

x = 6.25

RN = 6.25

Write the equation of the line with x-intercept 3 and passing through the point (5.4)

Answers

Answer: y=(1/5)m+3

Step-by-step explanation:

Start with the standard form of an equation of a straight line:  y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).

y=mx+b

We know b (3), so:

y=mx + 3

To find the slope, m, we can use the one given point, (5,4):

y=mx + 3 for (5,4) would be:

4 = m*5+3

1 = 5m

m = (1/5)

y=(1/5)m+3

2. A house costs $30,000. A buyer is given a 1/10 discount. How much money does the buyer save?

Answers

Answer:

3000

Step-by-step explanation:

graph using the slop and y intercept

Answers

the slope is -1/2 and the y intercept is 2

Answer:

the slop is -1/2 and they y intercept 2

Please help this is my fifth time asking this question please answer it correctly with explanation

Answers

Step-by-step explanation:

There are two attachments to this post. The first attachment shows the numbered angles formed through the intersection of the transversal, t, into the parallel lines, m and n, which will be used to determine how each angle relates to other angles.

First attachment:

The corresponding angles in the first attachment are:

∠1 and  ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

Corresponding angles have the same measure.

The same-side exterior angles are the pair of angles that are outside the parallel lines, and on the same side of the transversal.  In the first attachment, the same-side exterior angles are:

∠1  and ∠8

∠2 and ∠7

These angles are supplements of each other, meaning that the sum of their measure equal 180°.

Second Attachment:

Given parallel lines, m and n that are cut by a transversal, t.

The angle that has a measure of  ∠(10x + 5)° is a supplement of ∠(5x + 25)°.  In order to solve for the value of x, we must establish the following equation:

m∠(10x + 5)° + m∠(5x + 25)° = 180°

10x° + 5° + 5x° + 25° = 180°

Combine like terms:

15x° + 30° = 180°

Subtract 30 from both sides:

15x° + 30° - 30° = 180° - 30°

15x° =  150°

Divide both sides by 15:

15x°/15 = 150°/15

x = 10°

Verify whether we have correct value for x by substituting its value into the established equation:

m∠(10x + 5)° + m∠(5x + 25)° = 180°

10(10)° + 5° + 5(10)° + 25° = 180°

100° + 5° + 50° + 25° = 180°

180° = 180° (True statement).

Therefore, we have the correct value for x = 10°.

m∠(10x + 5)°  = 105°

m∠(5x + 25)° = 75°

The dimensions of a rectangular prism are 3 cm, 15 cm, and k cm. Its volume is
90 cm. Find the value of k.

Answers

Answer:

k = 2 cm

Step-by-step explanation:

3 x 15 x k = 90 cm^3

45 x k = 90 cm^3

k = 90/45 = 2 cm

Identify the vertex of the parabola represented by the equation y=−2x2+8x−1.


(−4, −65)

(4, −1)

(2, 7)

(−2, −25)

Answers

Answer:

it is correct but -65 is not correct

HELP WILL GIVE THE MOST POINTS IT LETS ME NEED ANSWER SOON

Answers

Answer:

c. -5x - 2 = -42

Step-by-step explanation:

Have a nice day! :-)

Answer:

-5x-2 = -42

Step-by-step explanation:

less than means you do this after what comes next

Product of a number and -5

-5x

Two less than

-5x -2

is means equals

-5x-2 = -42

FInd the value of T - triangle measerments

Answers

JK=JH

[tex]\\ \sf\longmapsto 10t=7t+15[/tex]

[tex]\\ \sf\longmapsto 10t-7t=15[/tex]

[tex]\\ \sf\longmapsto 3t=15[/tex]

[tex]\\ \sf\longmapsto t=15/3=5[/tex]

Write the inequality.
The sum of negative 3 and a number is no more than two

Answers

Answer: -3+x<2

Step-by-step explanation: can't be greater than 2.

Answer this question for me ASAP

Answers

Answer:

Option A: (It's just that the y-intercept and slope are in different spots.)

Line in (y=mx+b) form is y = 2x + 4

Slooe is 2

y-intercept is 4

Step-by-step explanation:

Slope-intercept form is written as y=mx+b, where m is slope and b is y-intercept.

By looking at the graph, we can already tell that the y-intercept is positive 4, since the line crosses the y-axis at that point.

Now use rise/run to find slope. (Remember that rise is movement up or down, and run is movement left or right.) With this in mind, the slope is 4/2, and if we simplify it, it's 2/1 (or basically just 2). Because we go upwards 4 units and to the right 2 units.

Hope this helps :)

Question 7 50 points


Is there enough information to prove that the triangles are congruent?


If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.


If no, justify your answer.

Answers

Answer:

1f 2×4 -3׳ 12k is divided by × - 3 the remainder is 21 find the value of k

15. Describe and correct the error in finding the intercepts of the graph of the equation.
Х
6x + 9y
= 18
6x + 9(0) = 18
6x = 18
6x + Oy 18
6(0) + 9y = 18
9y =
= 18
X = 3
y = 2
The x-intercept is at (0,3), and the y-intercept is at (2, 0).

Answers

Answer:

Wrong order!

Step-by-step explanation:

There's a reason why coordinates are called an "ordered pair", and for every point (a, b) a is the x coordinate and b is the y coordinate. The calculations are correct, the way reporting them are not: the point should be (3.0) and (0,2) - in fact, all points on the x axis are of the form (p, 0) and all points on the y axis of the form (0,q)

$4 is what percent of 50

Answers

Answer:

8%

Step-by-step explanation:

4/50 = 0.08 = 8%

Steps to solve "what percent is 4 of 50?" If you are using a calculator, simply enter 4÷50×100 which will give you 8 as the answer.

How can you use factoring to solve quadratic equations in standard form?

Answers

Step-by-step explanation:

The roots or the zeroes of a quadratic equation are its x-intercepts, which are the points on the graph where it crosses the x-axis. When a quadratic equation is in standard form, ax² + bx + c, the usual goal is to find the binomial factors that could help us determine the roots or solutions to the given equation.  Once you find the factors, then you will use the Zero-Product Property to solve for the solutions.  

For example, if you were given the following quadratic equation in standard form, x² + 6x + 8 = 0, and were tasked to find its factors.

x² + 6x + 8 = 0

where a = 1, b = 6, and c = 8:

In order to find the factors of the given quadratic equation, we must find the  factors with a product ac, and sum b.  

Using 2 and 4 as possible factors produce a product that is equal to

product of ac:   2 × 4 = 8

sum of b:           2 + 4 = 6.

Therefore, the factors of the given quadratic equation, x² + 6x + 8 = 0 are:

(x + 2) (x + 4).

Using the Zero-Product Property, where it states that for any real numbers, u and v, if uv = 0, then u = 0 or v = 0.  

Thus, setting the binomial factors of the given quadratic equation to zero will provide the solutions.

(x + 2) (x + 4)

x + 2 = 0

x + 2 - 2 = 0 - 2

x = -2

x + 4 = 0

x + 4 - 4 = 0 - 4

x = -4

Therefore, the solutions to the quadratic equation, x² + 6x + 8 = 0 are x = -2, and x = -4.

Which of the following describes the transformation from Figure 1 to Figure 2? On a coordinate plane, figure A B C D E has points (negative 3, 5), (negative 2, 5), (negative 1, 4), (negative 2, 3), (negative 5, 3). Figure A prime B prime C prime D prime E prime has points (2, 2), (3, 2), (4, 1), (3, 0), (0, 0). CLEAR CHECK translation 2 units to the right and 3 units down translation 3 units to the left and 2 units up translation 5 units to the right and 3 units down translation 5 units to the left and 3 units up

Answers

Answer:

a

Step-by-step explanation:

The transformation from Figure 1 to Figure 2 is:

The transformation of 5 units to the right and 3 units down.

Option C is the correct answer.

What is translation?

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

A B C D E has points (-3, 5), (-2, 5), (-1, 4), (-2, 3), and (-5, 3).

A' B' C' D' E' has points (2, 2), (3, 2), (4, 1), (3, 0), and (0, 0).

Now,

A = (-3 + 5, 5 - 3) to A' = (2, 2)

B = (-2 + 5, 5 - 3) to B' = (3, 2)

C = (-1 + 5, 4 - 3) to C' = (4, 1)

D = (-2 + 5, 3 - 3) to A' = (3, 0)

E = (-5 + 5, 3 - 3) to E' = (0, 0)

We see that,

There is a translation of 5 units to the right and  3 units to the down.

Thus,

The transformation of 5 units to the right and 3 units down.

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ1

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