Answer: A.
Step-by-step explanation:
You multiply the constants (2 and 4), then multiply the variables. To multiply variables raised to a power, you keep the variable (k) the same, and add the exponents. 2 x 4 =6....... k^4 x k^1 = k^5
Answer:
y=7x-8
Step-by-step explanation:
y=mx+b........slope-intercept form
where m=slope,b=y-intercept
y=7x-8
First exercise:
a. The first prime numbers are 2,3,5,7,11,... So, the greatest prime interger between 4 and 9 is 7. A = 7.
b. Since the number line's growing direction is rightwards, going to the left means to decrease. So, point E is 4 less than point A, i.e. 7-4 = 3. E = 3.
c. The additive inverse of a number
is another number
such that
. So, we're looking form a number such that
, and thus O = - 3.
d. This point looks a bit ambiguous to me honestly. We know that IO = 2, which I presume means that the points I and O are two units apart, but we're not told if I is two units left or right with respect to O. To solve this issue, I'm assuming that IO implies that I sits before O, and so I is two units left with respect to O. As we said in point a., two units left means two less, so we have I = -3-2 = -5. At this point, point L is halfway between -5 and -3, and thus L = - 4.
e. The sum of the coordinates of A and E is 7 + 3 = 10. Half that sum is 5, so M = 5.
In the attached image, you can see the number line filled with the points asked by the exercise.
Second exercise:
All the requests can be written as an equation in which we look for the values of x. Below you find the equation and the solutions.
![107 + x = 55 \implies x = 55-107 = -52](https://tex.z-dn.net/?f=%20107%20%2B%20x%20%3D%2055%20%5Cimplies%20x%20%3D%2055-107%20%3D%20-52%20)
![-43 - x = 18 \implies x = -43-18 = -61](https://tex.z-dn.net/?f=%20-43%20-%20x%20%3D%2018%20%5Cimplies%20x%20%3D%20-43-18%20%3D%20-61%20)
![-43 - x = 18 \implies x = -43-18 = -61](https://tex.z-dn.net/?f=%20-43%20-%20x%20%3D%2018%20%5Cimplies%20x%20%3D%20-43-18%20%3D%20-61%20)
![55x = 0 \implies x = \frac{0}{55} = 0](https://tex.z-dn.net/?f=%2055x%20%3D%200%20%5Cimplies%20x%20%3D%20%5Cfrac%7B0%7D%7B55%7D%20%3D%200%20)
![\frac{x}{-1080} = -40 \implies x = (-1080)(-40) = 43200](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B-1080%7D%20%3D%20-40%20%5Cimplies%20x%20%3D%20%28-1080%29%28-40%29%20%3D%2043200%20)
A little side note: I've honestly never met the expression "subtract A to B", but always "subtract A from B". I assumed they mean the same thing, but if anybody thinks I'm wrong please let me know! (I'm not a native speaker, so I can only refer to the math I met during my studies).
![](/media/im/b02/49/b0249e02a19ade5be294aff3265d3cb2.png)
Answer:
$240
Step-by-step explanation:
If x is the missing number and 25% equals to 1/4 then 1/4 times x equals 60.
Then once you multiply x on both sides you get $240.
Answer:
SSS Congruence Theorem
Step-by-step explanation: