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
People who experience online harassment either ignore it or respond via postings or involving authorities Is one method more eff
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

First method information:

Sample size  n₁  = 549

x₁ ( people ignoring on-line harassment )  =  412

Proportion of people ignoring on-line harassment  p₁

p₁ =  412/549   p₁  =  0,75   q₁ =  1  -  p₁    q₁ = 0,25

Second method ( people chosen to respond)

Sample size   n₂  =  368

number of people responding   x₂  = 305

Proportion of people responding

p₂ =  305/ 368    p₂ =  0,83   then  q₂  =  0,17

a) Looking for differences in the approachs

Hypothesis test:

Null Hypothesis                     H₀         p₁  =  p₂

Alternative Hypothesis         Hₐ         p₁  ≠  p₂

Alternative Hypothesis indicates that the test is a two-tail test

Choosing a confidence interval  CI = 95 % then a significance level is       α = 5%     α  = 0,05  and from z-table we get  z(c) =  1.64

To calculate z(s)

z(s)  =  (  p₁  -  p₂ ) / EED

EED = √  p₁*q₁)/n₁  +  (p₂*q₂)n₂

EED = √  (0,75*0,25)/549   +  0,83*0,17)/368

EED = √ 3,41 *10⁻⁴   +  3,83*10⁻⁴

EED =   10⁻² *√ 3,41 + 3,83

EED =   10⁻² * 2,69

EED = 0,0269

z(s)  =  (  p₁  -  p₂ )/0,0269

z(s)  = -  0,08 / 0,0269

z(s)  =  - 2,97

p-value for z(s)  is  pvalue  = 0,0015

Comparing  z(s)  and  z(c)   modules

z(s) > z(c)  therefor z(s) is in the rejection region we have to reject H₀ and claim that there is a difference between the proportions

b) How large is the difference

8 0
2 years ago
kylie bought a bunch of grapes that weighs 2 pounds and 9 ounces. How much did the grapes weigh in ounces only?
Grace [21]
Since 1 pound is 16 ounces, you would convert the 2 pounds to 32 ounces (16+16) and add the 32 ounces to the already given 9 ounces to get 41 ounces. (32+9)
Hope that helped.
7 0
2 years ago
The wavelength of an x-ray measures 1.0×10−11 meters. How is this number written using standard notation?
Sonja [21]

Answer:

its the first one: 0.00000000001

Step-by-step explanation:

you move the decimal point 11 times to the left to get the answer because the 11 is negative.

4 0
3 years ago
Y = -(x - 5) write the equation in slope-intercept form.
SOVA2 [1]

Answer:

y=-x+5

Step-by-step explanation:

6 0
3 years ago
Solve for x and y<br>2x+3yi=-14+9i
ryzh [129]
2,314 is the anwser

4 0
3 years ago
Other questions:
  • The function h(x)= 12x^8+49 is an even function. Which transformation of h(x) would result in a function that is neither even no
    7·1 answer
  • There are 132 fire stations in Miwok. There are 742,236 homes in this huge city. If the fire stations are responsible for an equ
    13·2 answers
  • PLEASE HELP ME!! =) NEED DONE NOW.
    10·2 answers
  • “the sum of eight and twice w”
    5·2 answers
  • Write and simplify an expression that represents the perimeter of the parallelogram
    9·2 answers
  • What is the result if you divide 18rs5t6 divide by -3r2st3?
    14·1 answer
  • What's 1billon by the 10th porwer
    12·1 answer
  • A rectangle has a height of 7 and a width of 2x^2 – 3.
    13·2 answers
  • Please help me solve this. I really don’t get it
    6·1 answer
  • During the current year, merchandise is sold for $200,900 cash and $646,300 on account. The cost of the goods sold is $635,400.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!