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taurus [48]
3 years ago
6

Write the equation in general form. x^2 +6x = -2

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0

Answer:

x^2 + 6x + 2 = 0

Step-by-step explanation:

Just add 2 to both sides, obtaining x^2 + 6x + 2 = 0; this is in "general form" for a quadratic equation.

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In the accompanying figure, triangle ABC has coordinates A(0,3), B(7,3), C(7,7). What is the area of triangle ABC in square unit
ElenaW [278]

We know area of triangle = \frac{1}{2}  * base * height

In triangle ABC , AB is the base and BC is the height

Now we find the distance between A and B

Distance formula is \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

A(0,3), B(7,3)

Distance AB = \sqrt{(7-0)^2 + (3-3)^2}

= \sqrt{(7)^2 } = 7

B(7,3), C(7,7)

Distance BC = \sqrt{(7-7)^2 + (7-3)^2}

= \sqrt{(4)^2 } = 4

area of triangle = \frac{1}{2}  * base * height

area of triangle = \frac{1}{2}  * AB * BC

= \frac{1}{2}  * 7 * 4 = 14 units ^2

4 0
3 years ago
If (a,b) is an ordered pair for x-y=5, is (b,a) also a solution?
alina1380 [7]
The answer is no. Because solution (a,b) means x=a, y=b.and we have a-b=5.  And (b,a) would mean x=b and y=a but then x-y=b-a=-(a-b)=-5≠5. So  the pair (b,a) is not a solution.


5 0
3 years ago
What is the value of the variable -38 = 2b + 25 - (-7b)
ddd [48]
The variable in this equation is b, therefore we have to calculate the value of b.

-38=2b+25-(-7b)
-38=2b+25+7b
2b+7b=-38-25
9b=-63
b=-63/9
b=-7

Answer: the value of the variable is b=-7

We can check it out this answer:
-38=2b+25-(-7b)
-38=2(-7)+25-(-7(-7))
-38=-14+25-49
-38=-38
4 0
3 years ago
About 36,100,000 households in the U.S. have cats and about 43,300,000 households have dogs. About how may more households dogs
Svetllana [295]
Theres about a 7,200,000 difference between household dogs vs household cats 
5 0
3 years ago
The two lines graphed on the coordinate grid each represent an
shusha [124]

9514 1404 393

Answer:

  C.  (-4, -3)

Step-by-step explanation:

The point where the lines cross is the solution to both equations. That point is in the third quadrant, where both coordinate values are negative.

The x-coordinate of the point is listed first, so the solution is ...

  (x, y) = (-4, -3)

7 0
3 years ago
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