3x + 4y = 31
2x - 4y = -6
*The +4 and -4 in the center of the equation cancel out because 4-4 = 0*
3x = 31
2x = -6
------------
*add like terms*
3x + 2x = 5x
31 - 6 = 25
So now you should have this written on your paper ... > 5x = 25
*Divide by 5 on each side*
5x = 25
_ _
5 5
x = 5
Answer:
285!
Step-by-step explanation:
First you have to find out how may parts are produced in a single minute.
We know that 114 parts are produced in 6 minutes so to find how may parts are made in one minute divide 114 by 6 and get an answer of 19
114÷6=19
Now to find how may parts are produced in 15 minutes multiply 19 (number of parts produdced in one minute) by 15 and get an answer of 285!
19×15=285
Hope this helped! :)
Answer:
y= -6/5x -3
Step-by-step explanation:
So for now lets bring it into mx + b format
Subtract 6x from both sides to isolate y which is also called subtraction property of equality.
so 5y = -6x -15
Now you divide both sides by 5 which is called division property of equality.
You now have y = -6/5x - 3
y= -6/5x -3 is the slope intercept form of the standard form equation of 6x + 5y = -15.
Hope this helps!
Given: p=2, h=8
5p^2=h
5(2)^2=8 ------- substitution here
5(4)=8
20 doesn't equal 8
I did exponents first because it comes before multiplication in the order of opertions.
Answer:
Part 1) Option D. must be an acute angle
Part 2) m∠A=70°
Step-by-step explanation:
Part 1) In triangle ABC, if an exterior angle drawn at vertex C measures 45, then angle B...
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
The measure of an exterior angle at C is equal to the sum of the interior angles at A and B
we have that
45°=m∠A+m∠B
therefore
m∠B < 90°
Angle B must be an acute angle
Part 2)
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
The measure of an exterior angle at B is equal to the sum of the interior angles at A and C
m∠A+m∠C=2m∠C+5
m∠C=m∠A-5 ----> equation A
m∠C=65° ----> equation B
substitute equation B in equation A
65°=m∠A-5
m∠A=(65+5)°=70°
