What is the distance between point (3,2) and line y=1/4x-9

Answers

Answer 1

Answer:

9.94

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] x - 9

y - 2 = - 4(x - 3)

y = - 4x + 14

- 4x + 14 = [tex]\frac{1}{4}[/tex] x - 9

16x - 56 = - x + 36

17x = 92

x = [tex]\frac{92}{17}[/tex]

y = (-4) [tex]\frac{92}{17}[/tex] + 14 = - [tex]\frac{368}{17}[/tex] + [tex]\frac{238}{17}[/tex] = - [tex]\frac{130}{17}[/tex]

(3, 2) , ( [tex]\frac{92}{17}[/tex] , - [tex]\frac{130}{17}[/tex] )

d ≈ 9.94396


Related Questions

What is the value of 25 to the power of 1/2

Answers

Answer:

the value of 25 to the power of 1/2 is 12.5

Answer:

5 (square root of 25)

Step-by-step explanation:

25 to the 1/2 power is the same as  square root of 25  

25  to the 1/3 power is the same as cube root of 25,...... etc

please help me answer will get brainliest

Answers

Answer:

32% is 0.32

6% is 0.06

93% is 0.93

150% is 1.5

12.5% is 0.125

Hope this helps!

What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth

Answers

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

On a coordinate plane, 2 rectangles are shown. Rectangle A B C D has points (negative 10, 8), (negative 4, 8), (negative 4, 4), (negative 10, 4). Rectangle W X Y Z has points (4, negative 4), (7, negative 4), (7, negative 12), (4, negative 12). Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area of 24 square units. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answers

Answer:

its D

Step-by-step explanation:

D

Answer:

D. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

the volume of the rectangular prism shown below is 96 cubic feet. The dimensions of the prism base are 4 feet and 3 feet. What is the prisms height in feet

Answers

height=volume:base area
96:(4*3)= 96:12=8

THIS IS VERY URGENT AND I WILL GIVE BRAINLIEST
Can you please help with the four and eight


Balon
300
100
3
1
7
10
M
4 (2pts) Above a line is drawn. There are
2 points A and B. Point A (3.98) Point
B (9, 179). Find the slope using the
formula.
8 2pts) What is the y-intercept of your
line, and what is its real-world
meaning?

Answers

oído i just needed answers

What is the sum of 4.061 and 18.62?

Answers

Answer:

22.681

Step-by-step explanation:

  1

    4.061

+  18.620

  22.681

Hope this helps!! Have a wonderful day C:

If h(x) = −2x − 10, find h(−4).
A: −2
B: −18
C: −3
D: −16

Answers

Answer:

[tex]\huge\boxed{\sf -2}[/tex]

Step-by-step explanation:

[tex]\sf h(x) = -2x-10\\\\Put \ x = -4\\\\h(-4) = -2(-4) -10\\\\h(-4) = 8-10\\\\\boxed{\sf h(-4) = -2}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

12(−1.4m+0.4)=





0.7m + 0.2


-0.7m + 0.2


2.8m + 0.8


-2.8m + 0.8

Answers

Answer:

m = 0.28571428571

or 0.29(to the nearest tenth)

Step-by-step explanation:

First, distribute

12(−1.4m+0.4)=

-16.8m + 4.8 =

Now move the constant to the right.

-16.8m + 4.8 =

-16.8m = -4.8 =

Now divide,

-16.8m = -4.8 =

m = 0.28 or 0.29

f(x)=-(x-1)²+4 determine the vertex

Answers

the vertex would be (1,4)

Answer:

Step-by-step explanation:

(1,4)

Help me fast I’ll mark brainliest plzzz

Answers

Answer:

1 2 3 4 5 6 7 8 9 10 11

Step-by-step explanation:

Answer:

Since I don't have the numbers to plot, I'll tell you where to begin

Step-by-step explanation:

When plotting temperatures, it's important to remember positives and negatives

It's always a good idea to start by marking the halfway point as zero

Then, if the numbers are  in the tens, make each increment an increasing value of ten/-ten in each direction.

If they're low, (in the ones digits) then just mark the numbers on the increments in the positive/negative directions

Hope this helps!

Which expressions are equivalent?
a) 1/5k-2/3j and -2/3+1/5k
b) 1/5k-2/3j and -1/5+2/3j
c) 1/5k-2/3j and 1/5j-2/3k
d) 1/5k-2/3j and 2/3j-1/5k
PLEASE HELP

Answers

Answer:

The answer should be A

Step-by-step explanation:

Because 1/5k - 2/3j would be -2/3 j with 1/5 k missing which would mean it's the same as if you added it on instead of removing it

Answer:

A

Step-by-step explanation:

Trust me, i promise its correct

Help. Can somebody help me with this. Thank you.

Answers

Answer:

[tex]m\angle CAB=65^\circ[/tex]

Step-by-step explanation:

Angles and Lines

It's convenient to recall two basic principles of angles:

The sum of internal angles in a triangle is 180°

Two linear angles are supplementary, i.e. they sum 180°.

Angles ABC and CBD are linear. Since we know the measure of angle CBD, thus the measure of angle ABC is 180°-6x.

Now focus on the triangle. The sum of its internal angles is:

x + 40 + 3x + 10 + 180 - 6x = 180

Simplifying:

-2x + 230 = 180

Subtracting 230:

-2x = -50

Dividing by -2:

x = -50 / (-2) = 25

x = 25°

Now find the measure of angle CAB

[tex]m\angle CAB=x+40=25+40=65[/tex]

[tex]\mathbf{m\angle CAB=65^\circ}[/tex]

PLEASE HELP WILL GIVE 20 POINTS

Use I = PRT to solve.
(time is in years)
P = $450
R = 5%
T = 7 years
Find I.

Answers

Answer:

$150.50

Step-by-step explanation:

I = 450 × 0.05 × 7 = 157.5

I = $ 157.50

The simple interest accumulated

on a principal of $ 450.00

at a rate of 5% per year

for 7 years is $ 157.50.

Hellooo :)

The answer is I = $ 157.50

Using the rule y = -x + 2, complete the input/output table shown below

Answers

answer: 4, 3, 2, 1, 0

explanation: substitute x values in the rule to get y values

Factoring trinomials
Select two for each

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factors.

1.) x^2+4x+3= (x+1) (x+3)

2.) x^2-2x-99 = (x+3) (x-11)

what isle is the tattoo ink in walmart???

Answers

Answer: what

Step-by-step explanation:

Simplify 56yz^2/48y^5z^2

Answers

Step-by-step explanation:

10

Multiply. (−2.1)⋅(−1.4) −29.4 −2.94 2.94 29.4 15 POINTS

Answers

Answer:

-29.4

Step-by-step explanation:

(-2.1)(-1.4) - 29.4 - 2.94

2.94 - 29.4 - 2.94

          -29.4

find the measure of angle x in the figure below​

Answers

Answer:

73=y

X=35

This is because the triangle is a total of 180 and the line has a value of 180

Which function is graphed below?

Answers

Answer:

daddy chill

Step-by-step explanation:

what does te guy say?

.000034 in scientific notation

Answers

3.5 × 10 and the 10 has a exponent of negative 5

can someone help me with prombelm number 2

Answers

Question 2
H(x)=x^2-5x+7

h(2)=2^2-5(2)+7
4-10+7
-6+7
1

h(-5)=-5^2-5(-5)+7
10+25+7
35+7
42

h(-8)=-8^2-5(-8)+7
16+30+7
46+7
53


a. 1
b.42
c.53

Answer:

Work shown below!

Step-by-step explanation:

2. [tex]g(x)=\frac{1}{2}x+5[/tex]

[tex]g(4) =\frac{1}{2}*\frac{4}{1} +5= 2+5=7[/tex]

[tex]g(-10)=\frac{1}{2}*\frac{-10}{1}+5=-5+5=0[/tex]

[tex]g(0)=\frac{1}{2} *\frac{0}{1} +5=0+5=5[/tex]

I need help its a math question ( sorry i have nothing to put here and it wants me to put something)

Answers

Answer:

B. (2, 3)

General Formulas and Concepts:

Algebra I

Solving systems of equations using graphing

Step-by-step explanation:

Step 1: Define system

y = x + 1

y = -1/2x + 4

Step 2: Identify Solution

The solution to the systems of equations when graphed will be where the 2 lines intersect. According to the graph, the 2 lines intersect at (2, 3).

Your salary is $65,788. If you work fifty 40-hour weeks in a year, what is your hourly wage?

Answers

Answer:

$31.63/hr

Step-by-step explanation:

Given parameters:

 Yearly salary  = $65788

  Number hours worked per week  = 40hrs

Unknown:

Hourly wage  = ?

Solution:

The hourly wage is found by dividing the yearly salary by the total number of hours worked per year.

  There are 52 weeks in a year;

   Number of hours worked per year  = 52 x 40  = 2080hrs

Hourly wage per year = [tex]\frac{65788}{2080}[/tex]   = $31.63/hr

Do you think it is easy to determine the solution set of a system of linear equations by graphing? Explain your answer.​

Answers

Answer:

Yes, if you keep all of this in mind... This all came from my lesson during class btw.

Step-by-step explanation:

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph. When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

pleaseeee help
Marisa saved $3000 to take a bike trip from Florida to California. She estimated her expenses to be $40 per day. The cost of a ticket to fly back is $240. The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.



Which inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip?

d < 40

d < 81

d < 69

d < 75

Answers

Answer:

d≤69

Step-by-step explanation:

 

If f(n) = 2n + 1 and g(n) = 3n, find f(n) + g(n).

Answers

Answer:

Step-by-step explanation:

PLZZZ HELPPP THIS IS A TIMED TESTTT *look at the picture*

the triangles are similar. solve for x

Answers

Answer:

x=14

Step-by-step explanation:

What is 10 times as much as 0.06.

Answers

Answer:

6

Step-by-step explanation:

move the six 2 digits to the left

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