what is the solution to the system of equations? y =1/3 x – 10 2x y = 4 (–8, 6) (–6, 16) (6, –8) (16, –6)
Answers
Answer:
Option C is correct.
Solution to the given system of equation is (6 , -8)
Step-by-step explanation:
Given the system of equation:
......[1]
.....[2]
Substitute the equation [1] in [2] we get;
Combine like terms;
Add 10 to both side of an equation:
Simplify:
Divide both sides by we get;
Simplify:
x = 6
Substitute the value of x =6 in equation [1] we get;
or
Simplify:
y = - 8
therefore, the solution to the given system of equation is; (6 , -8)
You can also see in the graph as shown below:
2x + y = 4
2x + 1/3 x - 10 = 4
7/3 x = 14
x = 6
y = 1/3(6) - 10 = 2 - 10 = -8
Therefore solution is (6, -8)
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SOMEONE PLEASE HELP ME!!! 25 POINTS!!!(I have two questions and even if you only answer one that’s fine just please)1. The scale of a map says that 2 cm represents 4 km. What distance on the map (in cm) represents an actual distance of 6 km?2. Using the same scale from the previous question, (2 cm represents 4 km), What is the actual number of km that is represented by 5 cm on the map?
Answers
Answer: The required intersection is the line 'VS'.
Step-by-step explanation: We are given to find the intersection of the planes WZVS and plane STUV.
We know that,
If two planes intersect each other, then their intersection is a straight line.
As shown in the given figure, the point 'V' and 'S' lie on both the planes WZVS and STUV.
So, the line joining these two points, i.e., the line VS also lie on both the planes.
Therefore, the intersection of both the planes is the line 'VS'.
Thus, the required intersection is the line 'VS'.
Answers
B. (6, 0)
C. (0, 3)
D. (3, 0)
Answers
set y=0
4x+2(0)=12
4x+0=12
4x=12
divide by 4
x=3
(x,y)
(3,0)
D is answer
Answer:
Option (d) is correct.
The x- intercept of the line with the given equation of 4x + 2y = 12 is (3,0)
Step-by-step explanation:
Given : Equation of line 4x + 2y = 12
We have to find the x- intercept of the line with the given equation of 4x + 2y = 12 and choose the correct option from the given equations.
Consider the given equation 4x + 2y = 12
x intercept is defined as a point where the line cuts y axis that is where point y is 0.
Put y = 0 , we have,
4x + 2(0) = 12
4x = 12
Divide both side by 4, we get,
x = 3
Thus, the x intercept of the line with the given equation of 4x + 2y = 12 is (3,0)
Answers
The coordinate of point L' after translation is L'(6, -8)
Translation of coordinates
Given the coordinates of JKLM as J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5)
Using the translation rule
(x, y) → (x + 8, y − 3)
The coordinate of point L' after translaton will be;
L' = (-2+8, -5-3)
L' = (6, -8)
Hence the coordinate of point L' after translation is L'(6, -8)
Learn more on translation here: brainly.com/question/12861087
Answers
Answer:
-3/2
Step-by-step explanation:
(5a + 3) / (a^2 - 1) when a = -3, substitute all values of "a" for -3:
(5(-3) + 3) / ((-3)^2 - 1)
(-15 + 3) / (9 - 1)
(-12) / (8)
Simplify:
- 3/2
Answers
Problem 2
Midpoint: Think 1/2. A midpoint cuts a line segment in 1/2 (in this question). That means that the left segment = the right segment. Remember: midpoint means 1/2.
LN is given as 14.
LM is 1/2 the distance of 14
LM = 1/2 * 14
LM = 7
Problem 3
If the midpoint = the 1/2 way point, the two halves are equal. Remember a midpoint divides the 2 parts into 2 EQUAL parts.
4a - 2 = 18 Add 2 to both sides
4a = 18 + 2
4a = 20
a = 20 /4
a = 5
Problem 4
Remember that midpoint means 1/2. That a midpoint cuts a segment into 2 equal segments
Equation
2n + 2 = 5n - 4
Solve
2n + 2 = 5n - 4 Add 4 to both sides
2n + 2 + 4 = 5n Subtract 2n from both sides.
6 = 5n - 2n
6 = 3n Divide both sides by 3
6/3 = n
n = 2
Answer: B
Problem 5
And again the whole line segment is divided into 2 equal parts.
Equation
6p - 12 = 4p Add 12 to both sides
6p = 12 + 4p Subtract 4p from both sides.
6p - 4p = 12
2p = 12 Divide by 2
p = 12/2
p = 6 <<<<< Answer