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
Orlov [11]
3 years ago
14

Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.

Mathematics
1 answer:
vichka [17]3 years ago
6 0

Answer:

  y = 18.25

Step-by-step explanation:

The 2-point form of the equation of a line can be used to write the equation of the line through the given points.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-2 -7)/(3 -(-1))(x -(-1)) +7

  y = -9/4(x +1) +7

For x = -6 this evaluates to ...

  y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7

  y = 18 1/4

You might be interested in
Ely’s team scored 62, 76, 53, and 70 points in their first four basketball games. How many points does the team need to score in
Yanka [14]
89 is the amount of points the team needs to score in the fifth game to average 70 points.

I hope this help
7 0
3 years ago
What is the answer ?
kifflom [539]
The system of inequalities is the following:

i) <span>y ≤ –0.75x
ii)</span><span>y ≤ 3x – 2

since </span>0.75= \frac{75}{100}= \frac{3}{4}, we can write the system again as 

i) y \leq - \frac{3}{4}x
ii) y  \leq 3x-2

Whenever we are asked to sketch the solution of a system of linear  inequalities, we:

1. Draw the lines
2. Color the regions of the inequalities.
3. The solution is the region colored twice.


A.

to draw the line y =- \frac{3}{4}x

consider the points: (-4, 1) and (0, 0), or any 2 other points (x,y) for which y =- \frac{3}{4}x hold.

since we have an "smaller or equal to" inequality, the line is a solid line (not dashed, or dotted).

In order to find out which region of the line to color, consider a point not on the line, for example P(1, 1), which is clearly in the upper region of the line.

For (x, y)=(1, 1) the inequality y  \leq - \frac{3}{4}x, does not hold because 

1 \leq - \frac{3}{4}*1= -\frac{3}{4} is not true,

this means that the solution is the region of the line not containing (1, 1), as shown in picture 1.


B.
similarly, to draw the solution of inequality ii) y ≤ 3x – 2, 

we first draw the line y=3x-2, using the points (0, -2) and (2, 4), or any other 2 points (x,y) for which y=3x-2 holds.

after we draw the line, we can check the point P(1, 7) which clearly is above the line y=3x-2.

for (x, y) = (1, 7), the inequality y ≤ 3x – 2 does not hold

because 7 is not ≤ 3*1-2=1, so the region we color is the one not containing P(1, 7), as shown in picture 2.


The solution of the system is the region colored with both colors, the solid lines included. Check picture 3.

the lines intersect at (0.533, -0.4) because:

–0.75x=3x-2
-0.75x-3x=-2
-3.75x=-2, that is x= -2/(-3.75)=0.533

for x=0.533, y=3x-2=3(0.533)-2=-0.4

Answer: Picture 3, the half-lines included. So the graph is in the 3rd and 4th Quadrants

8 0
2 years ago
Help no time plzzzz plz plz​
Sav [38]

Answer:

FALSE

Step-by-step explanation:

<E in ∆AED ≅ <E in ∆CEB.

Both are 90°.

Side ED ≅ Side EB

Side AD ≅ Side CB.

Thus, two sides (ED and AD) and a non-included angle (<E) of ∆AED are congruent to corresponding two sides (EB and CB) and a non-included angle (<E) of ∆CEB. Therefore, by A-S-S Congruence Theorem, both triangles are congruent to each other not by SSS.

8 0
2 years ago
chuck earned $76 mowing lawns.the gas for the mower cost $12 and he bought a new string for the trimmer for $7.write and find th
Harlamova29_29 [7]
76 - 12 = 64 - 7 = 57
3 0
3 years ago
What are prime Numbers
KiRa [710]
2,3,5,7,11,13,821, and 823


please can i have a brainliest
5 0
3 years ago
Read 2 more answers
Other questions:
  • 88.3 is what % of 21?
    15·1 answer
  • I literally just want someone to write a standard form equation for like graphs and stuff, I need to see the difference between
    14·1 answer
  • How do you find x and y in a word problem
    9·1 answer
  • Please help i dont know how to answer this
    11·1 answer
  • Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the
    13·1 answer
  • What is the exact value of sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰?
    6·2 answers
  • Pls answer my question i am not sure
    15·2 answers
  • The sum of two numbers is 5. The difference of two numbers is -1. Find the numbers
    7·2 answers
  • A right triangle has sides 10 and 24. Use the Pythagorean Theorem to find the length of the hypotenuse.
    15·1 answer
  • HELP ME ANSWER THIS PLEASE
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!