1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arada [10]
3 years ago
10

Which of the following equations represents a line that is perpendicular to y = -4x + 9 and passes through the point, (4, 5)?

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is equal to -1.

In this exercise is given the equation of a line and a point, and is asked to find the equation of the line that is perpendicular to the given one, and that passes through the given point.

The slope of the given line is -4, which means that the slope of a line perpendicular to this one, needs to be 1/4. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                Substitute the values of the given point and slope
5=1/4(4)+b           Combine like terms
5=1+b                  Subtract 1 in both sides to isolate b
4=b

The equation of the line perpendicular to y=-4x+9 and that passes through the point (4,5) is y=1/4+4.




You might be interested in
(8x10^-3) ÷ (2x10^-4)​
Lorico [155]

Answer:

40

Step-by-step explanation:

8*10^-3=0.003

2*10^-4=0.0002

0.003÷0.0002=40

5 0
3 years ago
Question 5 of 5
Flura [38]

The slope and y-intercept of this function is

B. The slope is 5/6, The y-intercept is (0, -3

<h3>How to find the slope and the y-intercept</h3>

Linear function is a function of the form y = mx + c

m = slope

c = intercept

The slope is represented as m, The slope by definition is the ratio change of the output values to the input values

the slope, m calculated using the points (0, -3) and  (6, 2)

m = (y₀ - y₁) / (x₀ - x₁)

m = (2 - -3) / (6 - 0)

m = (5) / (6)

m = 5/6

c = y intercept, from the table

c = -3

Learn more about slope of linear functions at:

brainly.com/question/29323505

#SPJ1

8 0
1 year ago
Factor this expression completely, then place the factors in the proper location on the grid. 9x2 - y2
andreev551 [17]

Answer:

{ \tt{ {9x}^{2} -  {y}^{2}  }} \\  = { \tt{( {3x)}^{2} -  {y}^{2}  }} \\  = { \tt{(3x - y)(3x + y)}}

6 0
2 years ago
A rectangular poster is to contain 722 square inches of print. the margins at the top and bottom of the poster are to be 2 inche
Delvig [45]
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need to minimize the area A=x*y

we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2

so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4

find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]

for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in

(y)=[722/(x-4)]+2

y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in

the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in

6 0
3 years ago
Help me there is brainliest insured
Ronch [10]

Answer:

33

Step-by-step explanation:

44 - 25% off is 33

3 0
3 years ago
Read 2 more answers
Other questions:
  • The volume of a large balloon after it is punctured is represented by the following table:
    14·1 answer
  • 3to the 4 power times 2to the Third power
    15·2 answers
  • How do you estimate fractions?Like 1/4 times 1/9
    5·1 answer
  • A common multiple is 180 true or false
    15·2 answers
  • Can someone check this?
    9·2 answers
  • What is the measure of the central angle of a circle with radius 30 centimeters that intercepts an 18π centimeters arc?
    14·1 answer
  • Make x the subject of the formula x(2+a)=b(x+3)
    11·2 answers
  • −5(x+2)=−5x+n<br> What is n?
    15·2 answers
  • Which statement is true?
    9·1 answer
  • PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!