Answer:
(5, -3)
Step-by-step explanation:
when you reflect across x axis the y changes symbols.
Answer:
Length of line AC = 24 cm
Step-by-step explanation:
Given:
Length of line AB = 10 cm
Length of line BC = 14 cm
Find:
Length of line AC
Computation:
We know that line AB and BC are two part of line AC
So,
AC = AB + BC
Length of line AC = Length of line AB + Length of line BC
Length of line AC = 10 + 14
Length of line AC = 24 cm
The answer for the exponential expressions 1,2,3 and 4 will be
respectively.
<h3>What exactly is an exponent?</h3>
Exponential notation is a type of mathematical shorthand that allows us to write complex formulas in a more concise manner.
The basis of an exponent is a number or letter. It means that the base will be raised to a given level of power. The base is X, and the power is n.
The properties of the exponent used;
![\rm m^a \times m^b = m^{a+b} \\\\ m^a \times n^a = {mn}^a \\\\ m^a \times m^b = m^{a-b} \\\\ m^0 = 1](https://tex.z-dn.net/?f=%5Crm%20m%5Ea%20%5Ctimes%20m%5Eb%20%3D%20m%5E%7Ba%2Bb%7D%20%5C%5C%5C%5C%20m%5Ea%20%5Ctimes%20n%5Ea%20%3D%20%7Bmn%7D%5Ea%20%5C%5C%5C%5C%20m%5Ea%20%5Ctimes%20m%5Eb%20%3D%20m%5E%7Ba-b%7D%20%5C%5C%5C%5C%20m%5E0%20%3D%201)
Expression 1;
![\frac{(2.3^{-2})^2(5.3^2.2)^2}{(3)^-2(5.2)^2} \\\\ \frac{2^3.3^{-6}.5^2.3^6}{3^{-2}.5^2.2^2} \\\\ 4.5](https://tex.z-dn.net/?f=%5Cfrac%7B%282.3%5E%7B-2%7D%29%5E2%285.3%5E2.2%29%5E2%7D%7B%283%29%5E-2%285.2%29%5E2%7D%20%5C%5C%5C%5C%20%5Cfrac%7B2%5E3.3%5E%7B-6%7D.5%5E2.3%5E6%7D%7B3%5E%7B-2%7D.5%5E2.2%5E2%7D%20%5C%5C%5C%5C%204.5)
Expression 2;
![(3^3)(4^0)(3.2)^{-3}(2)^2 \\\\ 3^3.1.3^{-3}.2^{-3}.2^2 \\\\ \frac{1}{2}](https://tex.z-dn.net/?f=%283%5E3%29%284%5E0%29%283.2%29%5E%7B-3%7D%282%29%5E2%20%5C%5C%5C%5C%203%5E3.1.3%5E%7B-3%7D.2%5E%7B-3%7D.2%5E2%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B2%7D)
Expression 3;
![\frac{(3^7.4^7)(2.5)^{-3}(5)^2}{12^7.5^{-1}.2^{-4}} \\\\ \frac{3^7.4^7.25^{-3}.5^{-3}.5^2}{12^7.5^{-1}2^{-4}} \\\\ 2](https://tex.z-dn.net/?f=%5Cfrac%7B%283%5E7.4%5E7%29%282.5%29%5E%7B-3%7D%285%29%5E2%7D%7B12%5E7.5%5E%7B-1%7D.2%5E%7B-4%7D%7D%20%5C%5C%5C%5C%20%5Cfrac%7B3%5E7.4%5E7.25%5E%7B-3%7D.5%5E%7B-3%7D.5%5E2%7D%7B12%5E7.5%5E%7B-1%7D2%5E%7B-4%7D%7D%20%5C%5C%5C%5C%202)
Expression 4;
![\frac{(2.3)^{-1}.2^0}{(2.3)^{-1}}\\\\ \frac{2^{-1}.3^{-1}.1}{2.3}\\\\ 1](https://tex.z-dn.net/?f=%5Cfrac%7B%282.3%29%5E%7B-1%7D.2%5E0%7D%7B%282.3%29%5E%7B-1%7D%7D%5C%5C%5C%5C%20%5Cfrac%7B2%5E%7B-1%7D.3%5E%7B-1%7D.1%7D%7B2.3%7D%5C%5C%5C%5C%201)
Hence, the answer for the exponential expressions 1,2,3, and 4 will be
respectively.
To learn more about exponents, see
brainly.com/question/5497425
#SPJ1
The cost of buying salad per pound) is more than or equal to $4.50
Step-by-step explanation:
We know from the problem that the salad is going to cost at least $4.50 per pound. Therefore, it is entirely possible for the cost to exceed $4.50, but it cannot be lower than $4.50 because then it would not be equal to $4.50.
So, there would be a greater-than sign pointing toward the s (which I seemingly cannot depict on here for some reason...)
Answer:
a) the angle ABC is approximately 106 degrees b) 24
Step-by-step explanation:
1) Using the law of cos
AC*AC= AB*AB+BC*BC-2*AB*BC*cosB
8*8= 5*5+5*5-2*5*5*cosB
64= 50- 50c0sB
cosB= 14/(-50)= -7/25.
B= arccosB= arccos(-7/25)= 106degrees.
2) sinB*sinB= 1- CosB*cosB= 1-49/625= 576/625
sinB= 24/25 (SinB doesn't equal -24/25, because B is between 0 and 180 degrress, so sin B is positive)
3) S= AB*BC*sinB= 5*5*24/25= 24 (area of the rhombus is 24)