Answer:
The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).
Step-by-step explanation:
You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.
Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.
And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:
x² + 8x + 7
= x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
= (x + 7)(x + 1)
Answer:
Gifted European Mathematicians (G.E.M.) project
Step-by-step explanation:
hope it is correct
Answer:
x=1 and y= 5
Step-by-step explanation:
To solve this, lets take the first equation and find the x value.
Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.
5x+4y=16
-5x -5x
4y=-5x+16
÷4 ÷4 ÷4
y=
+4
or
y=-1+4
or
y= 5
Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:
5x+4(+4)=16
5x-5+16=16
5x+11=16
-11 -11
5x=5
÷5 ÷5
x=1 and y= 5
You have only two variables X and Y to signify the angles
Together they must equal 90, because its a right triangle and one angle is 90
2X+4=Y
X+Y=90
Solve for Y
Y=90-X
Set the Y's equal to each other
2X+4=90-X
Isolate the X
3X=86
X=~28.66
Y=~61.34
You would find the origin and go over eight up 1 then repeat
