Answer:
x = 3 or x = 7
Step-by-step explanation:
X² - 8x + 14 = 2x - 7
x² - 8x + 14 - 2x + 7 = 0
Now we have a quadratic equation ;
x² - 10x + 21 = 0
-3 and - 7 gives a sum of - 10 and a product of 21
x² - 3x - 7x + 21 = 0
x(x - 3) - 7(x - 3) = 0
(x - 3) = 0 or (x - 7) = 0
x = 3 or x = 7
Using the slope-intercept form, y=mx + b to find the slope I found that correct answer is 2/5.
Answer:
E) 1/2
Step-by-step explanation:
This is no ordinary problem. It actually requires you to solve two different problems in order to figure out the correct answer.
First, we must figure out what the hypotenuse of the triangle is. We have the two small sides (5 and 12), but don't have the larger side. To find this, we must use the Pythagorean theorem: 
Let's plug in our a and b values

Simplify


Square both sides

But sadly, we aren't done yet. Now we know the length of the whole hypotenuse side. Time to figure out what X is by a simple equation.

Simplify

Divide by 26
Answer is 1/2
Answer:
d = 25
Step-by-step explanation:
Perhaps you want to solve for d:
(0.3d -1.5)/(3 1/3) = 0.84/(7/15)
Change the division by a fraction to multiplication by its inverse.
(0.3d -1.5)·(3/10) = (0.84)·(15/7)
0.09d -0.45 = 1.8 . . . . . . . . . . . . simplify
d - 5 = 20 . . . . . . . . . . . . . . . . . . divide by 0.09
d = 25 . . . . . . . . . . . . . . . . . . . . . add 5
_____
Grouping symbols help show what is being divided by what. Especially where mixed numbers are involved, parentheses help show that the number 3 1/3 is not supposed to be interpreted as the product of 3 and 1/3.
Answer:
(3, 1 ) is a solution
Step-by-step explanation:
To determine if the given points are solutions, substitute the x and y values into the left side of the equation and if equal to the right side then they are solutions.
(3, 1 )
3 + 4(1) = 3 + 4 = 7 = right side , then a solution
(2, 1 )
2 + 4(1) = 2 + 4 = 6 ≠ 7 ← not a solution