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
Lelu [443]
2 years ago
13

If M is the midpoint of XY, find the coordinates of X if M(-3, -1) and Y(-8, 6) A. (2.5, -5.5) B. (-5.5, 2.5) C. (0, 0) D. (2, -

8)
Mathematics
1 answer:
nadezda [96]2 years ago
6 0

Answer:

(2, -8)

Step-by-step explanation:

(x, y)=(-3, -1)

(x1+x2)/2=-3,

(y2+y2)/2=-1,

-------------------

(x1+x2)/2=-3

(y1+y2)/2=-1

---------------------

x1-8=-6

x1=2

----------

y1+6=-2

y1=-8

(2, -8)

You might be interested in
In the figure, m<2 = 83, and m<21 = 68. Find the measure of each angle
zhuklara [117]

Answer:

m<1 = 97

m<2 = 83

m<3 = 112

m<4 = 68

m<5 = 112

m<6 = 68

m<7 = 97

m<8 = 83

m<9 = 97

m<10 = 83

m<11 = 112

m<12 = 68

m<13 = 112

m<14 = 68

m<15 = 97

m<16 =  83

Step-by-step explanation:

8 0
3 years ago
Select the correct answer.
IceJOKER [234]

Answer: Option D. y+2x=3


Solution

If a line with a slope of -2:

Slope: m=-2

crosses the y-axis at (0,3):

(0,3)=(0,b)→b=3

What is the equation of the line?

y=mx+b

Replacing the known values:

y=-2x+3

Adding 2x both sides of the equation:

y+2x=-2x+3+2x

y+2x=3


4 0
3 years ago
Problem: A piece of farmland is a watering plot of land in a circular pattern. A sewer line needs to be installed from a new hou
Musya8 [376]

The entry and exit points of (2, 3), and (12, 6), and 200 ft. extension of the sprinkler system gives;

(1) The sewer line crosses the farmland at (6.53, 4.36), and (8.48, 4.9)

(2) The longest installable sprinkler system is approximately 172.4 feet

<h3>How can the points where the line crosses the farmland be found?</h3>

1. The slope of the sewer line is found as follows;

  • m = (6 - 3)/(12 - 2) = 3/10 = 0.3

The equation of the sewer line can be expressed in point and slope form as follows;

  • (y - 3) = 0.3×(x - 2)

y = 0.3•x - 0.6 + 3

y = 0.3•x + 2.4

The equation of the circumference of the sprinkler can be expressed as follows;

  • (x - 8)² + (y - 3)² = 2²

Therefore;

(x - 8)² + (0.3•x + 2.4 - 3)² = 2²

Solving gives;

x= 6.53, or x = 8.48

y = 0.3×6.53 + 2.4 = 4.36

y = 0.3×8.48 + 2.4 = 4.9

Therefore;

  • The sewer line crosses the farmland at (6.53, 4.36), and (8.48, 4.9)

2. When the farmland does not cross the sewer line, we have;

sewer line is tangent to circumference of farmland

Slope of radial line from center of the land is therefore;

m1 = -1/0.3

Equation of the radial line to the point the sewer line is tangent to the circumference is therefore;

y - 3 = (-1/0.3)×(x - 8)

Which gives;

y = (-1/0.3)×(x - 8) + 3

The x-coordinate is therefore;

0.3•x + 2.4 = (-1/0.3)×(x - 8) + 3

  • x ≈ 7.5

  • y = 0.3 × 7.5 + 2.4 ≈ 4.65

The longest sprinkler system is therefore;

d = √((7.5 - 8)² + (4.65 - 3)²) ≈ 1.724

Which gives;

  • The longest sprinkler system is 1.724 × 100 ft. ≈ 172.4 ft.

Learn more about the equation of a circle here:

brainly.com/question/10368742

#SPJ1

3 0
1 year ago
Please help ASAP<br><br> If f(x) = x^2-6x+2 and g(x) =sqrt x find a.) (fog) (x)<br> b.) (gof) (-2)
Rudik [331]
\large\begin{array}{l} \left\{\!\begin{array}{l} \mathsf{f(x)=x^2-6x+2}\\ \mathsf{g(x)=\sqrt{x}}\\ \end{array}\right. \end{array}


\large\begin{array}{l} \textsf{a) }\mathsf{(f\circ g)(x)}\\\\ =\mathsf{f\big[g(x)\big]}\\\\ =\mathsf{\big[g(x)\big]^2-6\cdot g(x)+2}\\\\ =\mathsf{\big[\sqrt{x}\big]^2-6\sqrt{x}+2}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(f\circ g)(x)=x-6\sqrt{x}+2} \end{array}}\qquad\checkmark \end{array}

______


\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}

______


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2181559


\large\textsf{I hope this helps. :-)}


Tags: <em>composite function composition evaluate algebra</em>

7 0
3 years ago
Hi guys can you guys help me with this question​
tresset_1 [31]

Answer:

1)6.000

2)8.935.600

5)70.000

4)2.509.200

7)6.000

8)9.000

10)5.800

11)6.900.000

13)5.000

14)2.000

16)5.000

17)6.400

Step-by-step explanation:

if you a line on the  numbers you will see it easy

7 0
2 years ago
Other questions:
  • The sum of three numbers is 104. The first number is 6 less than the second. The third number is 3 times the second. What are th
    10·1 answer
  • What is the fraction three for 185
    14·1 answer
  • The price of a commodity has fell down by 15% so that priya can buy 3 more commodities for Rs 1700. What was the original price
    15·1 answer
  • Write an inequality to represent the phrase: The sum of a number an 6 is no less than 31
    12·1 answer
  • )What is the distance between the points (12, 9) and (0, 4)
    9·1 answer
  • The ratio of boys to girls in Mr. Smith's class is 3:2. Which statement is correct? Circle all that apply. A For every 3 boys, t
    9·1 answer
  • What’s the answer for 35/(16-32)• 2
    15·1 answer
  • Aaaaaaaaaaaaaaa a aaaaaaaaaaaaaaaaaaa khan academy
    14·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bp%2B9%7D%7B5%7D%20%3Dr%2Cfor%20%28p%29" id="TexFormula1" title="\frac{p+9}{5} =r,for
    8·1 answer
  • 4tan(x)sin(x)+5sec(x) simplifies to A sec(x) - B cos(x)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!