Answer:
The answer is A
Step-by-step explanation:
Answer: x = 4
y = - 3
Step-by-step explanation:
The given system of simultaneous equations is expressed as
x-3y = 13 ------------------------1
2x+4y=-4--------------------------2
We would apply the method of substitution in solving the equations. From equation 1, we would make x to stand alone by adding 3y to the left hand side and the right hand side of the equation. It becomes
x - 3y + 3y = 13 + 3y
x = 13 + 3y
Substituting x = 13 + 3y into equation 2, it becomes
2(13 + 3y) + 4y = - 4
26 + 6y + 4y = - 4
26 + 10y = - 4
Subtracting 26 from the left hand side and the right hand side of the equation, it becomes
26 - 26 + 10y = - 4 - 26
10y = - 30
Dividing the left hand side and the right hand side of the equation by 10, it becomes
10y/10 = - 30/10
y = - 3
Substituting y = - 3 into x = 13 + 3y, it becomes
x = 13 + 3 × - 3
x = 13 - 9
x = 4
Answer:
4
Step-by-step explanation:
6-2 = 4
Answer:
Surface-area. If a solid is composed of flat surfaces, such as the cube on the right, the surface area is simply the sum of the areas of the flat surfaces (called faces). So, for example, if a each edge of a cube has a length s, the area of one face is s2 since it is a square.
Step-by-step explanation:
Answer:
- 19. y = x + 1
- 20. y = -2/3x - 5
- 21. y = -1/2x + 7
- 22. y = 4x - 3
Step-by-step explanation:
19. Passing through (2, 3) and PARALLEL to y = x - 4
<u>Parallel lines have equal slopes:</u>
<u>Use given point to find b:</u>
<u>The line is:</u>
20. Passing through (-6, -1) and PARALLEL 2x + 3y = 3
<u>Rewrite in the slope-intercept form:</u>
- 2x + 3y = 3
- 3y = -2x + 3
- y = -2/3x + 1
<u>The line have same slope:</u>
- y = -2/3x + b
- -1 = -2/3(-6) + b
- -1 = 4 + b
- b = - 5
<u>The line is:</u>
21. Passing through (-2, 8) and PERPENDICULAR to y = 2x + 5
Perpendicular lines have negative-reciprocal slopes
<u>The line has the form:</u>
Find the y-intercept:
- 8 = -1/2*(-2) + b
- 8 = 1 + b
- b = 7
<u>The line is:</u>
22. Passing through (-2, -11) and PERPENDICULAR to x + 4y = 8
Perpendicular lines have negative-reciprocal slopes
<u>Rewrite in slope-intercept form:</u>
- x + 4y = 8
- 4y = -x + 8
- y = -1/4x + 2
<u>The line has the form:</u>
<u>Find y-intercept:</u>
- -11 = 4(-2) + b
- -11 = -8 + b
- b = -3
<u>The line is:</u>
