Answer: The spelling questions are 10, while the vocab questions are 16.
Step-by-step explanation: Let the spelling questions be represented by letter p, while the vocab questions should be represented by v. If there is a total of 16 questions as stated, then p + v = 26
Also if there are a total of 100 points obtainable in the test, then spelling questions times 2 points (2p) plus vocab questions times 5 points (5v) equals 100 points. This can be expressed as 2p + 5v = 100
We now have a pair of simultaneous equations as follows
p + v = 26 ———(1)
2p + 5v = 100 ———(2)
Make p the subject of the equation in equation (1). p = 26 - v. Next substitute for the value of p into equation (2)
2(26 - v) + 5v = 100
52 - 2v + 5v = 100
We collect like terms and we have
5v - 2v = 100 - 52
3v = 48
Divide both sides of the equation by 3
v = 16
Now having calculated v, substitute for the value of v into equation (1)
p + 16 = 26
Subtract 16 from both sides of the equation
p = 10
Therefore, the spelling questions equals 10 in all. While the vocab questions equals 16 in all.
Answer:
x2+2x−15
Step-by-step explanation:
Answer:
![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
I should know, I've done this.
Answer:
a. Y=-2x+4
Step-by-step explanation:
6x+3y-9=3
+9 +9
6x+3y=12
-6x -6x
3y=-6x+12
/3 /3 /3
y=-2x+4
Answer:
![(x, y) \rightarrow (-x, -y)](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%5Crightarrow%20%28-x%2C%20-y%29)
Step-by-step explanation:
Rotation of any point in the form of (x, y) about the origin O through 180 degree in anticlockwise or counterclockwise direction, it will takes the new position (-x, -y)
i.e,
The rule of rotation about the origin through 180 degree is given by:
![(x, y) \rightarrow (-x, -y)](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%5Crightarrow%20%28-x%2C%20-y%29)
For example:
Let the point A(-4, 6) rotate by the rule
then;
![A(-4, 6) \rightarrow (4, -6)](https://tex.z-dn.net/?f=A%28-4%2C%206%29%20%5Crightarrow%20%284%2C%20-6%29)
⇒the coordinate of image of the point A is, (4, -6)
Therefore, the rule represents
is, ![(x, y) \rightarrow (-x, -y)](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%5Crightarrow%20%28-x%2C%20-y%29)