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Nitella [24]
2 years ago
9

Under which condition will two lines not have a common solution

Mathematics
1 answer:
nordsb [41]2 years ago
7 0

Answer:

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

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which qaudratic equation is equivalent to (x+2)^2+5(x+2)-6=0 a. (u+2)^2+5(u+2)-6=0 where u=(x-2) b. u^2+4+5u-6=0 where u= (x-2)
Lisa [10]

Answer:

D

Step-by-step explanation:

Given

(x + 2)² + 5(x + 2) - 6 = 0

Using the substitution u = x + 2 , then the equation can be expressed as

u² + 5u - 6 = 0 → D

5 0
3 years ago
The ratio of students who wear glasses to the total class is 2:5
Taya2010 [7]

Answer:

a. 2:3, b. 25 students, c. 3:2

Step-by-step explanation:

a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.

b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.

c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.

4 0
2 years ago
Solve for y: - √(y) = -5
Serggg [28]
-sqrt(y) = -5

Multiply each side by (-) negative sign: sqrt(y) = 5

Square each side: y = 25

Answer: (C) 25

 


3 0
3 years ago
Sunflower produce approximately 50 seeds per flower. If one ounce of sunflower seeds contain an average of 72 seeds, how many fl
ra1l [238]

Given :

Sunflower produce approximately 50 seeds per flower.

If one ounce of sunflower seeds contain an average of 72 seeds.

To Find :

How many flowers are needed to produce 2 pounds of seeds.

Solution :

1 pound = 16 ounces .

So , 2 pound = 32 ounces .

Number of seeds in 2 pounds of seeds, n = 32×72 = 2304 .

Number of flowers are :

N=\dfrac{2304}{50}=46.08

So , approximate number of flower required are 46.

Hence, this is the required solution.

5 0
3 years ago
Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root o
ehidna [41]

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,  

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 -  √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

6 0
3 years ago
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