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
alisha [4.7K]
3 years ago
15

I don’t understand this question what so ever

Mathematics
1 answer:
Mama L [17]3 years ago
3 0

bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes, let's find firstly the slope of AC.

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-1}{1-2}\implies \cfrac{5}{-1}\implies -5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{-5}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-5}}\qquad \stackrel{negative~reciprocal}{\cfrac{1}{5}}}

so, we're really looking for the equation of a line whose slope is 1/5 and that passes through (3,3)

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{3}) ~\hspace{10em}slope = m\implies \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=\cfrac{1}{5}(x-3) \implies y-3=\cfrac{1}{5}x-\cfrac{3}{5} \\\\\\ y=\cfrac{1}{5}x-\cfrac{3}{5}+3\implies y=\cfrac{1}{5}x+\cfrac{12}{5}

You might be interested in
The graph below shows two different deer populations over the same ten year period.
arsen [322]

Answer: D. The red line demonstrates an exponential growth rate, because the growth rate for the deer population is itself continuously increasing​.

Step-by-step explanation:

An exponential growth rate is one where the population in question is growing at a rate that continues to increase instead of remaining stable. That is, the growth rate itself grows.

The blue line does not show an exponential growth rate because the growth rate is stable per year. This is unlike the red line which grows at a rate that is increasing such that by the 4th year it's numbers cannot even be shown on the graph any longer.

6 0
3 years ago
Read 2 more answers
What is the factored form of this expression?
kirill [66]

Answer:

= (3t+2)(3t-2)(3t-4)

Step-by-step explanation:

Given the expression 27t^3 - 36t^2 - 12t + 16

On factoring:

(27t^3 - 36t^2) - (12t + 16)

= 9t²(3t-4)-4(3t-4)

= (9t²-4)(3t-4)

factoring 9t²-4

9t²-4 = (3t)² - 2²

From different of two square, a²-b² = (a+b)(a-b)

Hence (3t)² - 2² = (3t+2)(3t-2)

= (9t²-4)(3t-4)

= (3t+2)(3t-2)(3t-4)

Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)

6 0
3 years ago
A meta-analysis (Anderson &amp; Bushman, 2001)
11Alexandr11 [23.1K]
Sold,d,modifiers dowdy skimming
6 0
4 years ago
Please help me with this, corresponding parts
poizon [28]

Answer:

∠ C = 58°

Step-by-step explanation:

DB is a perpendicular bisector , so

∠ ADC = 2 × 32° = 64°

Since AD = CD then Δ ACD is isosceles with the base angle congruent , then

∠ C = \frac{180-64}{2} = \frac{116}{2} = 58°

4 0
3 years ago
Don't guess!
MrRissso [65]

Answer:

C

Step-by-step explanation:

1. Plug 7/8 into the expression:

4(7/8)

2. Multiply:

4 * 7/8 = 28/8 = 3.5

3.5 < 4

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement describes the term salary
    12·1 answer
  • The graph at the right shows the relationship between distance and time for a car driven at a constant speed.
    14·1 answer
  • Write the following as an algebraic<br> expression:<br> the product of 5 and b
    14·1 answer
  • 100 board patterns 45,54,73
    13·1 answer
  • What is the slope-intercept form of the equation y – 7 = –5/2 (x + 4)?
    12·2 answers
  • Liam had a container of oatmeal that contained 5 1/2 cups oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a
    13·2 answers
  • 50 points.Thank youuu.Need good explanation.Not just for points​
    8·1 answer
  • An election with 8 candidates has a 2-stage voting process. In the first stage, voters choose 1 candidate from all 8 names on th
    14·1 answer
  • The sum of two numbers is 19. The difference is 9. What are the two numbers?
    9·2 answers
  • Consider △BTW as pictured below.<br><br><br> Find W.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!