Answer:
B
Step-by-step explanation:
Remark
The easiest way to do this is to Substitute for y in the top equation.
2x + 4y = 18 Divide by 2
2x/2 + 4y/2 = 18/2
x + 2y = 9
Substitute -3x + 2 in for y in the equation above
x + 2(-3x + 2) = 9
x - 6x + 4 = 9
Combine like terms on the left
-5x + 4 = 9
Subtract 4 from both sides.
-5x + 4-4 = 9- 4
-5x = 5
Divide by -5
-5x/-5 = 5/-5
x = - 1
That makes A and C incorrect.
y = -3x + 2
y = -3(-1) + 2
y = 3 + 2
y = 5
The correct answer should be (-1,5) which is B
Answer:
100.3 units²
Step-by-step explanation:
✅Find the area of the parallelogram:
Area of Parallelogram is given as base × height
base = 10
height = 5
Area of Parallelogram = 10*5 = 50
✅Next, find the area of the two semicircles:
The two semicircles = 1 circle
Area of circle = πr²
r = 8/2 = 4
Area = π*4² = 16π = 50.3 (nearest tenth)
✅Area of figure = 50 + 50.3 = 100.3 units²
X= 1st integer
x+2= 2nd integer
x+4= 3rd integer
Add the integers together
x + (x + 2) + (x + 4)= 279
combine like terms
3x + 6= 279
subtract 6 from both sides
3x= 273
divide both sides by 3
x= 91 first integer
Substitute x=91 to find 2nd & 3rd integers
2nd Integer
=x+2
=91+2
=93
3rd Integer
=x+4
=91+4
=95
ANSWER: The three test scores are 91, 93 and 95.
Hope this helps! :)
Answer:
7.94
Step-by-step explanation:
Answer:
d = 1.1 units
Step-by-step explanation:
Since the x- coordinates of the 2 points are equal, both 3, then they lie on a vertical line. The distance between the 2 points is the difference in the y- coordinates, that is
d = | 2.4 - 1.3 | = | 1.1 | = 1.1 units
