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
Andru [333]
3 years ago
5

Write an equation of the line that is perpendicular to y = 1/2

Mathematics
1 answer:
atroni [7]3 years ago
6 0

Answer:

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

= -5 = -2x + 15

Step-by-step explanation:

Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).

Using the slope intercept equation,

y = mx +c

m = slope = 1/2

For two lines to be perpendicular, the product of their slopes is -1

Let the slope of the other line be m2

m1×m2 =-1

1/2×m2 = -1

m2 = -1/(1/2) = -2

Slope of line = -2

For points (10, -5), x = 10, y =-5

-5 = -2× 10 +c

-5 = -20+ c

c = -5+20= 15

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

-5 = -2x + 15

You might be interested in
15 POINTS HELP ME PLEASE :)!!
harkovskaia [24]
Y=32x because y directly =´s 32 times whatever x is
6 0
3 years ago
Simplify. <img src="https://tex.z-dn.net/?f=%5Csqrt%7B15%7D" id="TexFormula1" title="\sqrt{15}" alt="\sqrt{15}" align="absmiddle
jolli1 [7]

Answer:

I think its 15.58

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help me <br> Show your work <br> 10 points
Svet_ta [14]
<h2>Answer</h2>

After the dilation \frac{5}{3} around the center of dilation (2, -2), our triangle will have coordinates:

R'=(2,3)

S'=(2,-2)

T'=(-3,-2)

<h2>Explanation</h2>

First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:

(x,y)→(x-2, y+2)

Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor \frac{5}{3}. Therefore our second partial rule will be:

(x,y)→\frac{5}{3} (x-2,y+2)

(x,y)→(\frac{5}{3} x-\frac{10}{3} ,\frac{5}{3} y+\frac{10}{3} )

Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)

(x,y)→(\frac{5}{3} x-\frac{10}{3}+2,\frac{5}{3} y+\frac{10}{3}-2)

(x,y)→(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:

R=(2,1)

R'=(\frac{5}{3} x-\frac{4}{3} ,\frac{5}{3}y+ \frac{4}{3})

R'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(1)+ \frac{4}{3})

R'=(\frac{10}{3} -\frac{4}{3} ,\frac{5}{3}+ \frac{4}{3})

R'=(2,3)

S=(2,-2)

S'=(\frac{5}{3} (2)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

S'=(\frac{10}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

S'=(2,-2)

T=(-1,-2)

T'=(\frac{5}{3} (-1)-\frac{4}{3} ,\frac{5}{3}(-2)+ \frac{4}{3})

T'=(-\frac{5}{3} -\frac{4}{3} ,-\frac{10}{3}+ \frac{4}{3})

T'=(-3,-2)

Now we can finally draw our triangle:

8 0
3 years ago
Which of the following are adjacent angles?
andriy [413]

Answer:

c

Step-by-step explana i think its right

3 0
2 years ago
What is( -10a^5-2a^5+14a^5)(12a^5-6a-10a^3)<br><br> using distributive and the area model.
Delvig [45]
(-10a^5-2a^5+14a^5)(12a^5-6a-10a^3) \\ = 2a^5 (12a^5-6a-10a^3) \\ = 24a^{10} - 12a^6 - 20a^8
8 0
3 years ago
Other questions:
  • Find the value of the function sin 9pi/7?
    11·1 answer
  • How would I set up an equation for this problem?
    11·1 answer
  • Solve the equation 2/3 -4 + 7/2 = 9x + 5/6
    8·1 answer
  • 10^log23 =?
    11·1 answer
  • you buy 7 packages total of AA and AAA. AA has 6 batteries in each pack and AAA has 8 batteries in each pack. you end up with 52
    12·1 answer
  • 1/4 divided by 5/6 = 1/a× b/c
    6·1 answer
  • What is 0.25 - 1.125 - 16/8 equal to?
    8·2 answers
  • The following numbers divisible by 4 and 8 a) 726352​
    15·1 answer
  • Diana has 18 apples more than Roberto. Together, Diana and Roberto's apples are 48. How many apples does each have?​
    7·1 answer
  • Using the given set of numbers find the mean (rounded to the nearest tenth), median,mode and range: 18,19,16,18,14,17,18 and 15
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!