Answer:
7 × x = 315
x = 315 ÷ 7
x = <u>4</u><u>5</u>
<u>4</u><u>5</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>answer</u><u>.</u>
Answer:
-18
Step-by-step explanation:
Successor of -19 = - 19 + 1 = - 18
<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.
I believe (-2,2) or (2,3)
Answer:
Step-by-step explanation:
Given equation:
To find the angle measure of 
Solution:
In order to find the angle measure , we will isolate on left side by carrying out math operations on both sides.
We have:
Subtracting both sides by 
Subtracting both sides by 1°.
Dividing both sides by 3.
Converting fraction to mixed number by dividing and writing the quotient as whole number and the remainder as numerator.
∴ (Answer)
