All of the above easy one
Answer:
x = 10, y = 20
Step-by-step explanation:
Because two sides of the rightmost triangle are congruent, the base angles would follow suit. This means 5x - 10 = 3x + 10. Simplifying this we get:
2x = 20
x = 10
Next, in the other triangle, we can say the same thing, the base angles would be congruent. From this we can say that the other base angle is 4y. Using the exterior angle theorem, we can say that the two angles with x terms add to 4y. This means 3x + 10 + 5x - 10 is 4y. We already know x is 10, so substituting that in we get:
80 = 4y
y = 20
Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is
Therefore, the required number of different ways is 224.
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)
Answer:
y=x+2
Step-by-step explanation:
To find the equation of a line or linear function, you need at least two points that lie on the line. This is to find the slope or gradient of the line if it's not given. Let's use the two points (0,2) and (-2,0). The first coordinate in each point is X and the second is the y coordinate.
GRADIENT/SLOPE=[y1-y2]/[x1-x2]
=[2-0]/[0-2]=1
The equation of a linear function is given. by Y-y1=m(X-x1)
Y-2=1(X-0)
Y=X+2
VERIFICATION OF SOLUTION
You may want to verify whether you are right by substituting values of x to see if you can obtain corresponding y values.
Example: if x=0, y=0+2=2.This confirms first point
