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puteri [66]
3 years ago
12

Part A: Create a system of linear equations with no solution. In two or more complete sentences, explain the specific characteri

stics that you included in each equation to ensure that the system would not have a solution.
Part B: Using one of the equations that you created in Part A, create a system of linear equations that has one solution (x, y). Use substitution to solve the system.
Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0
Part A.
You need two equations with the same slope and different y-intercepts.
Their graph is parallel lines. Since the lines do not intersect, there is no solution.

y = 2x + 2
y = 2x - 2

Part B.
We use the first equation as above. For the second equation, we use an equation with different slope. Two lines with different slopes always intersect.

y = 2x + 2
y = -2x - 2

In the second equation, y = -2x - 2. We now substitute -2x - 2 for y in the first equation.

-2x - 2 = 2x + 2

-4x = 4

x = -1

Now substitute -1 for x in the first equation to find y.

y = 2x + 2

y = 2(-1) + 2

y = -2 + 2

y = 0

Solution: x = -1 and y = 0
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What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.
Mrac [35]

Answer:

Area of the rhombus ABCD = 16 square units

Step-by-step explanation:

Area of a rhombus = \frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }

Diagonal 1 (AC) = \sqrt{(4-0)^2+(-1+1)^2} = 4 units

Diagonal 2(BD) = \sqrt{(2-2)^2+(3+5)^2} = 8 units

Now area of the rhombus ABCD = \frac{1}{2}(\text{AC})(\text{BD})

                                                       = \frac{1}{2}\times 4\times 8

                                                       = 16 units²

Therefore, area of the given rhombus is 16 units².

5 0
2 years ago
I need help with my math problem #6
guajiro [1.7K]
C) 93 
Q has the reverse digits of P
Q is 39 and P is 93
93 - 39 = 54
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3 years ago
There are 3 red marbles and 8 blue marbles in a bag.
exis [7]
A) 3:11
b) 11:8
this should be correct
3 0
3 years ago
Select the correct answer.
krek1111 [17]

Answer: c

Step-by-step explanation: Plato

3 0
3 years ago
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Simplify the expression.<br><br><br><br> 9y^2−25/9y^2−30y+25
mezya [45]

Answer:

Step-by-step explanation:

56y^2/9-30y+25

4 0
2 years ago
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