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kipiarov [429]
3 years ago
5

What quantity should be added to both sides of this equation to complete the square x^2+12x=-15

Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

Answer:

36

Step-by-step explanation:

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Which description best describes the solution to the following system of equations?
aleksandr82 [10.1K]

Answer:

  Line y = –x + 4 intersects the line y = 3x + 3

Step-by-step explanation:

The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.

___

<em>Comments on other answer choices</em>

Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.

Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.

6 0
3 years ago
An urn contains eight blue balls and seven yellow balls. if six balls are selected randomly without being​ replaced, what is the
Vlad1618 [11]

to be sure that 2 of them will be blue i have to select 7+2=9 balls
7+8=15 balls in the urn
P=9/15

to be sure that 4 of them will be yellow i have to select 8+4=12 balls
P=12/15


8 0
3 years ago
Help anyone can help me do this question 3,I will mark brainlest.​
malfutka [58]

Answer:

see explanation

Step-by-step explanation:

Calculate the slopes between pairs of the 3 points using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)

m = \frac{9-3}{-3-(-9)} = \frac{6}{-3+9} = \frac{6}{6} = 1

Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)

m = \frac{9-1}{-3-5} = \frac{8}{-8} = - 1

If lines are perpendicular then the product of their slopes = - 1 , then

1 × - 1 = -1

Thus there is a right angle between the 2 lines

Then triangle is right- angled

8 0
3 years ago
Which equation could be used to solve for the measure of side Q in the triangle QRS shown below given...
Rama09 [41]

The image is missing, so i have attached it

Answer:

Equation is;

q/sin 105 = 15/sin 30

Step-by-step explanation:

We are given;

Angle Q = 105°

Angle S = 30°

s = 15

From sine rule we know that;

a/sin A = b/sin B = c/sin C.

Thus, applying that to this question, we can find side q.

Thus;. q/Sin Q = s/Sin S

Plugging in the relevant values to obtain ;

q/sin 105 = 15/sin 30

8 0
3 years ago
The base of a triangle is 6 meters longer than the height of the triangle. If the area of the triangle is 108 square meters, wha
Nonamiya [84]

Answer:

36 meters

Step-by-step explanation:

A=1/2b×h

108sq. m=1/2.6m×h

both side canceling meter

h=2×108m/6

h=36m. answer

4 0
3 years ago
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