<h2><u>Solve for x</u></h2>
<h3>what are the steps to solve this?</h3><h3>9+6(x-5)=10-3(x-7)</h3>
<u>Step 1:</u> Apply distributive property.
- 9 + 6(x - 5) = 10 - 3(x - 7)
- 9 + 6x - 30 = 10 - 3x + 21
- -21 + 6x = 31 - 3x
<u>Step 2:</u> Combine all like terms.
- -21 + 6x = 31 - 3x
- -21 - 31 = -6x - 3x
- -52 = -9x
<u>Step 3:</u> Divide both sides of the equation by -9 and simplify.
<u>Answer:</u>
- The value of x is <u>52/9</u>.
Wxndy~~
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
We have been given that a line 
passes through the point (10, 3) and is parallel to the line 
. We are asked to find the y-intercept of the line.
First of all we will rewrite our given equation in slope-intercept form as:
We know that slope of parallel lines is equal, so slope of parallel line to our given line would be 
.
Now we will use slope-intercept form of equation to find y-intercept.
, where,
m = Slope,
b = The y-intercept.
Let us substitute 
and coordinates of point 
in above equation as:
Therefore, the y-intercept is 7 and our required equation would be 
.
Answer:
<em>She invested 1600 at 8% (to get the shown $160 interest)</em>
<em>and $7400 at 10% (to get the shown 640 interest)</em>
<em>If x = 4000 then $80 interest is x2 again = $160</em>
<em>and so forth $320 interest x 2 again = $640</em>
Step-by-step explanation:
<em>The format would always be for x and then where </em>
<em>investment - x = interest we can work out totals this way and find x.</em>
<em>9000-x = 800 is first equation and substituted into 2nd equation;</em>
<em>0.10x+0.08(9000−x)=800</em>
<em>Use the distributive property to multiply 0.08 by 9000−x.</em>
<em>0.10x+720−0.08x=800</em>
<em>Combine 0.10x and -0.08x to get 0.02x.</em>
<em>0.02x + 720 = 800</em>
<em>Subtract 720 from both sides.</em>
<em>0.02x=800−720</em>
<em>Subtract 720 from 800 to get 80.</em>
<em>0.02x=80</em>
<em>Divide both sides by 0.02.</em>
<em>x= 80 / 0.02</em>
<em>Make decimals numbers = 1 or above.</em>
<em>80 / 0.02 x 100</em>
<em>x= 8000 / 2</em>
<em>x = 4000</em>
Karl did because $58 for 20 pieces is cheaper than $63 for 21 and $3 for 21 pieces.
