The best way to tackle this is to put the answer that you know into a binomial factor. So the solution is x = 4. The binomial factor is (x - 4)
Now you can set up the other binomial factor. You have been given a huge hint. The third term is 28 and one of it's 2 factors is 7. So this is what you know so far
(x - 4)( x 7) But what is its sign? The 28 is positive. So the 7 must be minus giving you
(x - 4)(x - 7) Are we done yet? No There's a 3 on the x^2. Does the 3 go with the x on (x - 4) or does the 3 go with the (x - 7)? We have been told that (x - 4) is one of the factors. No mention of a three. So we should try x - 7 first and write it like this.
(x - 4)(3x - 7)
I think if you remove the brackets, you will find that the middle term is - 19 (-12 - 7 = -19 ) which is exactly what it should be.
Answer (x - 4)(3x - 7)
13. x= 27/4 or 6 and 3/4
14. x= 27
15. x= 191/7 or 27 and 2/7
16. x= 83/15 or 5 8/15
the key to solving these is cross-multiplying and finding a common denominator, you can use photomath if you want to see the solving steps, hope this helps!
Answer:
2%
Step-by-step explanation:
Answer:
x° = 83°
Step-by-step explanation:
All angles in a triangle (any kind of triangle: right, isosceles, equilateral etc.) add up to 180 degrees.
So, if we are given the ABC triangle, then:
angle A + angle B + angle C = 180°
In this particular case, we are given values of two angles, so using the previous relation, we can write:
x° + 44° + 53° = 180°
Now, it's easy to find x°:
x° = 180° - 44° - 53°
x° = 83°
