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
vredina [299]
1 year ago
7

Find the equation of the line through (-9,6) that is perpendicular to the line through (7,8),

Mathematics
1 answer:
Setler [38]1 year ago
7 0

Step-by-step explanation:

I assume as "equation" we mean the slope-intercept form :

y = ax + b

"a" is the slope of the line (y coordinate change / x coordinate change when going from one point to another on the line). b is the y-intercept (the y value when x = 0).

we get the slope by finding the perpendicular slope of the first line.

the slope of the first line when going from (-3, -9) to (7, 8) :

x changes by + 10 (from -3 to +7).

y changes by + 17 (from -9 to +8).

so, that slope is 17/10.

the perpendicular slope is turning the original slope upside-down and flips the sign :

-10/17

so, a = -10/17

now, as we have only the slope and a point of the new line, we can use the point-slope form to stay and then transfer into the slope-intercept form.

y - y1 = a(x - x1)

where "a" is again the slope, and (x1, y1) is a point on the line

y - -6 = -10/17 × (x - -9)

y + 6 = -10/17 × (x + 9) = -10/17 × x - 90/17

y = -10/17 × x - 90/17 - 6 =

= -10/17 × x - 90/17 - 102/17 =

= -10/17 × x - 192/17

so, the equation is (in a maybe nicer way)

y = -1/17 × (10x + 192)

You might be interested in
Un estudiante de Astronomía sabe que Venus le da la vuelta al Sol 225 días y Marte 687 días . Si sabe que la última vez que v s
Jet001 [13]
The student of astronauts u know that
3 0
2 years ago
How much longer is a 1-inch button than a 3/4-inch button
nikitadnepr [17]
The answer is 1/4 because 3/4 is 1/4 away from 1
8 0
3 years ago
Read 2 more answers
Suppose the manager of a gas station monitors how many bags of ice he sells daily along with recording the highest temperature e
Maslowich

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Equation of regression line :

Yˆ = −114.05+2.17X

X = Temperature in degrees Fahrenheit (°F)

Y = Number of bags of ice sold

On one of the observed days, the temperature was 82 °F and 66 bags of ice were sold.

X = 82°F ; Y = 66 bags of ice sold

1. Determine the number of bags of ice predicted to be sold by the LSR line, Yˆ, when the temperature is 82 °F.

X = 82°F

Yˆ = −114.05+2.17(82)

Y = - 114.05 + 177.94

Y = 63.89

Y = 64 bags

2. Compute the residual at this temperature.

Residual = Actual value - predicted value

Residual = 66 - 64 = 2 bags of ice

4 0
3 years ago
If a(x + 1) + b(x − 1) − 2 = 0 for all real x, then a =
jek_recluse [69]

Answer:

D) 1

Step-by-step explanation:

using the distributive property we have ax+a+bx-b-2=0. because the equation is true for all real x, ax=-bx. this means a-b-2=0 and a=-b. a-b-2=0 becomes a=b+2. then we substitute a for -b and get -b=b+2 which becomes 2b=-2 so b=-1. since a=-b, a=1

7 0
3 years ago
Idk the answer can u help me
valentinak56 [21]

The answer is C) 67

Angle FGE is a right angle so it is 90 degrees and angle AGF is the same as CGD so it is 23 degrees.

Add angle FGE and angle AGF together (90 + 23 = 113) and subtract that by 180 (180 - 113 = 67)

3 0
3 years ago
Other questions:
  • On a very cold morning, it was -8°F. As the day went on, the temperature rose 2 degrees each hour. Which equation shows the temp
    15·2 answers
  • What is the simplified form of the expression 3²+7-y²-5-2y²-1
    15·1 answer
  • PLEASE HELP ILL GIVE BRAINLIEST
    7·1 answer
  • Which eqation is true when k = -15
    6·1 answer
  • Alguem sabe a resposta? <br><br> 3 (x+y)<br><br> -3(2+8)<br><br> x (x-y)<br><br> 2xy(x+y)?
    10·1 answer
  • Graph f(x) = 5x - 45
    9·2 answers
  • Which of the following statements is true?
    14·2 answers
  • I don’t feel like doing math today might give branliest whoever answers
    8·2 answers
  • many non-profit groups ask for donations during december. do men give higher monetary donations than women in the month of decem
    6·1 answer
  • What is 4/5 = 12/blank | Equivalent Fractions
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!