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
padilas [110]
3 years ago
6

5 Exam-style ABCD is a kite.

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0

let's recall that in a Kite the diagonals meet each other at 90° angles, Check the picture below, so we're looking for the equation of a line that's perpendicular to BD and that passes through (-1 , 3).

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of BD

y = \stackrel{\stackrel{m}{\downarrow }}{3}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line whose slope is -1/3 and passes through point A

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \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-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{1}{3}}[x-\stackrel{x_1}{(-1)}]\implies y-3=-\cfrac{1}{3}(x+1) \\\\\\ y-3=-\cfrac{1}{3}x-\cfrac{1}{3}\implies y=-\cfrac{1}{3}x-\cfrac{1}{3}+3\implies y=-\cfrac{1}{3}x+\cfrac{8}{3}

You might be interested in
An object travels 60 miles in 1/2 hour. How many miles does the object<br> travel in 6 hours
hoa [83]

Answer:

720

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which stat
Alja [10]
C

"When the storm began", it means it has been snowed for 0 hours, so n=0.
f(0)=2.5, thus the <span>depth of snow was 2.5 inches when the storm began.

f(n+1)=f(n)+0.8, so f(n+1)-f(n)=0.8
it means when the time increases by one hour, the depth of snow increases by 0.8 inches.</span>
4 0
4 years ago
Read 2 more answers
A contest on a game show receives -25 points for each wrong answer what integer represents the change in periods after three wro
Paladinen [302]
To represent the change in points, you can think of it in two ways:

1.  You will go down 25 points for every wrong answer, so -25 + -25 + -25 would represent what is happening.  They are all negative, so you keeping moving down in value.  

2.  You can also think of this as 3 groups of -25. 

Both answers are -75.  The answer is negative because the change was down in points.

-75 is the integer that represents this situation.
7 0
3 years ago
HELP MEEEEEEEEEEEEEEEEEEEEEEE 20 POINTS AND BRAINLIEST PLZ HALPPPP
yawa3891 [41]

Answer:

1. Radius 18in Diameter 38in Circumference 36in

2. Radius 9in Diameter 34in Circumference 18in

3. Radius 6in Diameter 36in Circumference 12in

4. Radius 7in Diameter 26in Circumference 14in

5. Radius 5in Diameter 8in Circumference 10in

6. Radius 11in Diameter 33in Circumference 22in

7. Radius 6in Diameter 20in Circumference 12in

8. Radius 7in Diameter 16in Circumference 14in

9. Radius 2in Diameter 12in Circumference 4in

Step-by-step explanation:

Tip: When finding the circumference of a circle, just multiply the radius by 2!

Hope I get my brainliest even tho I couldn't get all of it!

4 0
3 years ago
Parallel lines e and f are cut by transversal b what is the value of x?
NikAS [45]

Answer: 25

Step-by-step explanation:

Both lines are being cut by the same transversal so to solve for x, make both equations equal to each other

2x+10 = 3x-15

To isolate x, do the inverse operations (for any side chosen)

Do the inverse operations to move -15 and isolate 3x

Add 15 to 10 (10+15=25)

You now have 2x+25=3x

Now, do the same to combine the x values together

25=3x-2x

You now have 25=1x

Divide by 1 on both sides

25=x

4 0
3 years ago
Read 2 more answers
Other questions:
  • you order two tacos and a salad. The salad cost $2.50. You leave a three-dollar tip. Theres is no sales tax. How much does one t
    11·2 answers
  • Graph the function: y=x-5​
    14·2 answers
  • If a line crosses the y-axis at (0, -3) and has a slope of 3, what is the equation of the line?
    15·2 answers
  • (1.005)<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20400" id="TexFormula1" title="x^{2} 400" alt="x^{2} 400" align="absmiddle"
    11·2 answers
  • 25% of all who enters a race do not complete. 30 haveentered.
    9·1 answer
  • 3
    9·1 answer
  • I just need help explaining how I got it please
    7·2 answers
  • Please use an explanation in this!
    10·1 answer
  • What is the equation of the line
    15·2 answers
  • A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!