Let the x represent the unknown number.
"2 times a number" is 2x
"The sum of 2 times a number and 11" is 2x + 11
"The sum of 2 times a number and 11 is -7" is 2x + 11 = -7
Now we solve the equation for x to find the unknown number.
2x + 11 = -7
Subtract 11 from both sides.
2x = -18
Divide both sides by 2.
x = -9
Answer: The number is -9.
Check: 2 times -9 = -18
-18 + 11 = -7
The answer is correct.
Answer:
An obtuse triangle can not have more than one angle measured greater than 90.
Step-by-step explanation:
Obtuse triangles have 2 acute angles (less than 90 degrees) and 1 obtuse angle (greater than 90).
Answer:
<em>( x + 13 )^2 + ( y + 6 )^2 = 1; Option A</em>
Step-by-step explanation:
<em>~ The question we have at hand is: x^2 + y^2 + 26x + 12y + 204 = 0 ~</em>
Let us apply the circle equation ( x - a )^2 + ( y - b )^2 = r^2 ⇒ provided r is the radius, centered at point ( a, b )
1. First rewrite x^2 + y^2 + 26x + 12y + 204 = 0 in the standard form of circle equation: x^2 + y^2 + 26x + 12y + 204 = 0
2. Now move the loose number to the right side: x^2 + 26x + y^2 + 12y = -204
3. Let us now group variables: ( x^2 + 26x ) + ( y^2 + 12y ) = -204
4. Convert x to square form: ( x^2 + 26x + 169 ) + ( y^2 + 12y ) = -204 + 169
5. Convert to square form: ( x + 13 )^2 + ( y^2 + 12y ) = -204 + 169
6. Convert y to square form: ( x + 13 )^2 + ( y^2 + 12y + 36 ) = -204 + 169 + 36
7. Convert to square form, and simplify: ( x + 13 )^2 + ( y + 6 )^2 = 1
<em>Answer: ( x + 13 )^2 + ( y + 6 )^2 = 1</em>
Answer:
y + (y+10) = 107.50
Step-by-step explanation:
Let y represent Terry's purchases. Then Tori's purchases are (y+10). The sum of their purchases is given by the equation ...
y + (y+10) = 107.50
_____
Then y = 48.75 represents Terry's spending, while y+10 = 58.75 represents Tori's spending.
Answer:
$389.50
Step-by-step explanation:
$10.25x38=$389.50 gross pay
