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kow [346]
3 years ago
6

Solve the system of equations using the Addition method. 2a + 3b = -1 3a + 5b = -2

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0
2a + 3b = -1
3a + 5b = -2

3(2a + 3b = -1)    -->    6a + 9b = -3
2(3a + 5b = -2)    -->    6a + 10b = -4
                                 -  ___________
                                               b = -1

2a + 3(-1) = -1
2a - 3 = -1
2a = 2
a = 1

2(1) + 3(-1) = -1    -->    2 - 3 = -1
3(1) + 5(-1) = -2    -->    3 - 5 = 2

Answer:
a = 1
b = -1

Hope this helps.
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3 years ago
Which of the following statements are true about the graph. check all that apply?
oee [108]

Answer:

Statement 1

The graph has a minimum.

This statement is true. The graph has a minimum at x = -1 that is f(-1) = -9.

Statement 2

The graph has a maximum.

The statement is false. As there is no downward curve nor a rigid endpoint but the graph is continuous in upward direction.

Statement 3

The graph has zeros of -4 and 2.

The statement is true because f(-4) = 0 and f(2) = 0.

Statement 4

The vertex is located at (-1, -9).

The statement is true as apparent in the graph.

Statement 5

The solution of the quadratic function represented by the graph is (-1, -9).

The statement is false. Solution of the graph is at the point where f(x) becomes zero. At (-1,-9), f(x) = -9. Hence solution is not at point (-1,-9).

Statement 6

The y-intercept of the graph is (0, -8).

The statement is true. y-intercept of a graph is where the graph intercept the y-axis which means x = 0. As x = 0 at (0, -8), it is the y-intercept of the graph.

8 0
3 years ago
Will sides 4cm,5cm,13cm make a triangle ?
Katena32 [7]

Answer:

No it won't make a triangle

Step-by-step explanation:

Using pythagorean you have

4^2+5^2=13^2

Which is 41=169

To make a triangle these have to be equal so the sides won't make a triangle

5 0
3 years ago
In a quadrilateral MNOP the length of side MN is (4x − 7) units and the length of side ON is (7 − 3x) units. What value of x wil
artcher [175]

In a rhombus, all sides are equal.

So for the quadrilateral MNOP to be a rhombus, the given sides have to be equal. THat is

MN=ON

4x-7 =7-3x

Adding 3x to both sides and addinf 7 to both sides

7x = 14

Now we need to get rid of 7 and for that we do division, that is

\frac{7x}{7} = \frac{14}{7}

x=2

Correct option is the second option .

6 0
3 years ago
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