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Makovka662 [10]
1 year ago
6

Consider this expression.

Mathematics
1 answer:
USPshnik [31]1 year ago
5 0

Answer:

-16

Step-by-step explanation:

m^2 + n^2

-5^2 + 3^2 = -16

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9/20
NISA [10]

For this case we must find the solution of the following quadratic equation:

x ^ 2 + 5x + 7 = 0

Where:

a = 1\\b = 5\\c = 7

Then, the solution is given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting the values:

x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}

By definition we have:i ^ 2 = -1

x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0
3 years ago
Zack is purchasing a bag of apples. The cost of apples is proportional to the weight of the apples in pounds as shown on the gra
White raven [17]
Hello,

The graph below is the graph you may have forgotten to upload. This will help me understand the question better and to give you a great answer.

  A:  " 1 lb of apples will cost Zack $2.50. "  
___________________________________________  C:  " 4 lb of apples will cost Zack $10. "
Hope this helps


-Jurgen :D

7 0
3 years ago
The altitude of the base of a cloud
natima [27]

The height of the ceiling is 162.31 meters

The situation will form a right angle triangle.

<h3>Right angle triangle:</h3>

Right triangle has one of its angles as 90 degree. Therefore, the sides can be found using trigonometric ratios

The triangle formed, the theodolite distance from the spotlight is the  adjacent side. Therefore,

tan 62.7 = opposite / adjacent

tan 62.7 = x / 83

cross multiply

x = 83 × tan 62.7

x = 160.809554025 m

Therefore, the height of the ceiling form the ground is as follows:

  • 160.809554025 + 1.5 = 162.309554025 m

learn more on right angle triangle here; brainly.com/question/13481976

7 0
2 years ago
Segment FG begins at point F(-2, 4) and ends at point G (-2, -3). Segment FG is translated by (x, y) → (x – 3, y + 2) and then r
Mariana [72]

Answer:

The length of the segment F'G' is 7.

Step-by-step explanation:

From Linear Algebra we define reflection across the y-axis as follows:

(x',y')=(-x, y), \forall\, x, y\in \mathbb{R} (Eq. 1)

In addition, we get this translation formula from the statement of the problem:

(x',y') =(x-3,y+2), \forall \,x,y\in \mathbb{R} (Eq. 2)

Where:

(x, y) - Original point, dimensionless.

(x', y') - Transformed point, dimensionless.

If we know that F(x,y) = (-2, 4) and G(x,y) = (-2,-3), then we proceed to make all needed operations:

Translation

F''(x,y) = (-2-3,4+2)

F''(x,y) = (-5,6)

G''(x,y) = (-2-3,-3+2)

G''(x,y) = (-5,-1)

Reflection

F'(x,y) = (5, 6)

G'(x,y) = (5,-1)

Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:

F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}

F'G' = 7

The length of the segment F'G' is 7.

8 0
3 years ago
Whoever answers this correctly gets brainlist!
Gnoma [55]

Answer:

5.  3/10

6.  7/12

7.   7/8

8.   4/3

Step-by-step explanation: Hope this helps!

7 0
3 years ago
Read 2 more answers
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