Which graph represents the solution to the system of inequalities?x + y ≤ 4
y – x ≥ 1
Answers
Given inequalities are
and
Now we will graph both inequalities to get the common region which represents solution.
Work for
first we graph the line x+y=4 then shade the graph for inequality symbol
we can plug any random number for x and find y-value to get points
lets plug x=0 then we get:
x+y=4
0+y=4
y=4
so the point is (0,4)
Similarly we can find more point like (4,0).
Now graph both points and join both points by straight line.
Now we find direction of shading.
pick any test point which is not on that line x+y=4 say (0,0)
and plug it into orinal inequality
which is true.
True means shade in direction of test point. Otherwise we shade in opposite direction.
We will repeat same process for other inequality to graph that.
Hence final graph for the answer will be as shown in attached image.
Triangular region ABC is final answer.
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What is the factored form of 6x^2 + 13x + 6?A.) (x + 4)(x + 9) B.) (2x + 3)(3x + 2) C.) (2x + 6)(3x + 1) D.) (6x + 1)(6x + 1)
For which system of equations is (2, 2) a solution? A.–3x + 3y = 0x + 6y = 10B.–2x + 5y = –64x – 2y = 4C.5x – 2y = –63x – 4y = 2D.2x + 3y = 104x + 5y = 18
What is the standard form of two and twelve hundredths
1) 2x + 8y = 20
y=2
Answers
Answer:
2x+8y=20;y=2
Solution :
{x,y} = {2,2}
System of Linear Equations entered :
[1] 2x + 8y = 20
[2] y = 2
Graphic Representation of the Equations :
8y + 2x = 20 y = 2
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = 2
// Plug this in for variable y in equation [1]
[1] 2x + 8•(2) = 20
[1] 2x = 4
// Solve equation [1] for the variable x
[1] 2x = 4
[1] x = 2
// By now we know this much :
x = 2
y = 2
We are done
Solution :
{x,y} = {2,2}
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answers
1. Write the formula
tan(a) = y ÷ x
2. Rewrite to include the known values.
tan(79.9) = y ÷ 100
3. Solve for the unknown variable, y.
tan(79.9) × 100 = y ÷ 100 × 100
tan(79.9) × 100 = y
4. A fancy step that I call the "flip flop."
y = tan(79.9) × 100
5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).
y = 561.3968
6. Round the number as is appropriate for this problem.
Have a great day!
so you have a right triangle
base=100 ft
from wher you are standing, it is a 79.9 angle to the top
we want to find the height of the tower or the opposite side
the base is the adjacent side so you are looking for o/a or tan(79.9) since you know one of the sides so therefor
tan(79.9)=h/100
evaluate tan(79.9)
tan(79.9)=5.61396
5.61396=h/100
multiply both sides by 100
561.396=h
round to tenths place
561.4
the height=561.4 ft
Answers
Answer:
Measure of fourth angle of quadrilateral is:
100
Step-by-step explanation:
We know that the sum of angles in a quadrilateral is 360°
Three of the angles of a quadrilateral are 120 48 and 92
we have to find the sum of the fourth angle of the quadrilateral
Let measure of fourth angle be x
120+48+92+x= 360
i.e. 260+x = 360
Subtracting both sides by 260, we get
x= 100
Hence, Measure of fourth angle of quadrilateral is:
100
Answers
The $50 can be converted to a Future Value per year before the rest of the given can be used.
B) 2
C) -0.5
D) -3
Answers
Answers
Answer:
(x,y) --> (x+4, y-5)
Step-by-step explanation:
A is correct. B can be represented as x+4, y - 5 because the x values shifted 4 to the right (a positive shift so x+4) and the y values shifted 5 down (a negative shift so y-5)