Answer:
x = 4 , y = -1
Step-by-step explanation:
x - 3y = 7 -- (1)
3x - 3y = 15 -- (2)
Rewriting (1), x = 3y + 7 -- (1)'
Substituting (1)' into (2),
3 ( 3y + 7 ) - 3y = 15
9y + 21 - 3y = 15
6y = -6
y = -1 -- (3)
Substituting (3) into (1),
x - 3 ( - 1 ) = 7
x + 3 = 7
x = 4 -- (4)
According to (3) and (4),
x = 4 , y = -1
If you graphed the equation: y = 5
You would put a straight line going horizontally through 5. Like this picture shows. If it were x = 5, for example, then it would go up and down through 5.
Let me know if this helped! Have a nice day!
Answer:
attached below is the solution
Step-by-step explanation:
|x| < 7
= -7 < x < 7
| y | < 3
= -3< y < 3
attached below is the shaded region in the xy-plane
Answer:
Let x be the the amount james spent for dinner then x - 5 wpuld be the answer to your first problem
Answer:
Lateral surface area = 45.5
Total surface area = 60.2
Step-by-step explanation: To find the lateral surface area, we first need to find the surface area of one triangle. For the triangle on the right/left, you multiply 3.5*5.8, which equals 20.3. Since this is a triangle, we multiply the product (20.3) by 1/2. The answer is 10.15. Since there are two triangles with the same dimensions as this, we multiply 10.15 by 2, which equals 20.3. For the triangle on the top/bottom, we multiply 4.2*6, which equals 25.2. Since this is a triangle again, we multiply 25.2 by 1/2. The answer is 12.6. Since there are two triangles with the same dimensions as this, we multiply 12.6 by 2, which equals 25.2. Now we add 20.3 + 25.2, which equals 45.5. This is the lateral surface area.
To find the total surface area, we now need to find the area of the base as well. To do so, we multiply 4.2 by 3.5, which equals 14.7. Now we add 45.5, the area of all the triangles, with 14.7, the area of the base. The answer is 60.2.
I hope this helps!