Answer:
(5a−3)^2
Step-by-step explanation:
25a^2 - 30a + 9
Factor the expression by grouping. First, the expression needs to be rewritten as 25a^2+pa+qa+9. To find p and q, set up a system to be solved.
p+q=−30
pq=25×9=225
Since pq is positive, p and q have the same sign. Since p+q is negative, p and q are both negative. List all such integer pairs that give product 225.
−1,−225
−3,−75
−5,−45
−9,−25
−15,−15
Calculate the sum for each pair.
−1−225=−226
−3−75=−78
−5−45=−50
−9−25=−34
−15−15=−30
The solution is the pair that gives sum −30.
p=−15
q=−15
Rewrite 25a^2 - 30a + 9 as (25a^2−15a)+(−15a+9).
(25a^2−15a)+(−15a+9)
Factor out 5a in the first and −3 in the second group.
5a(5a−3)−3(5a−3)
Factor out common term 5a−3 by using distributive property.
(5a−3)(5a−3)
Rewrite as a binomial square.
(5a−3)^2
Hey there! I'm happy to help!
The question tells us that m∠JKL is 54. We see from the diagram that this is the combination of the angles m∠JKM and m∠MKL. So, we can combine their values, which are equal to 54 to find x.
13x+1+5x+4=54
We combine like terms
18x+5=54
We subtract 5 from both sides.
18x=49
We divide both sides by 18.
x=2.7222222....
Now, we want to find the measure of m∠MKL. We plug our x value into the value of this angle and evaluate.
5(2.722....)+4=17.61111....... or 17 11/18.
Have a wonderful day and keep on learning! :D
9:00 he returned the boat hope this helped and dived it add it then add 3
Answer:
(4,-5)
Step-by-step explanation:
Hi there!
The problem asks us to solve by elimination, where we will add the two equations together to clear one variable, solve for the other variable, and then substitute the value of the other variable to find the value of the first variable
here's the system:
4x-9y=61
10x+3y=25
we'll clear y to start
multiply the second equation by 3
3(10x+3y)=3(25)
30x+9y=75
4x-9y=61
now add the equations together (the 9y's clear because one is positive and another is negative)
34x=136
divide by 34
x=4
the value of x is 4
now to find y:
substitute the value of x into either one of the equations to solve for y
if we were to do the first equation for example:
substitute x as 4 into the equation
4(4)-9y=61
multiply
16-9y=61
subtract
-9y=45
divide
y=-5
so the answer is x=4, y=-5. If you need it as a point, it's (4,-5)
Hope this helps! :D
