Conjugate the verb "aller" (meaning "to go") and use the appropriate form of aller in the following sentence: Je ________ au centre-commercial. (I am going to the mall.)
1. First, even though aller is an "-er" verb, it is important to remember that it is an irregular "-er" verb. Therefore, it is going to be conjugated differently. 2. Let's conjugate! Aller-"to go" Singular Plural je vais (I go/am going) 1st person nous allons (We go/are going) 1st person tu vas(You (informal) go/are going) 2nd person vous allez (You (formal)/You all go/ are going) 2nd person il/elle va (He/She goes/Is going) 3rd person Ils/Elles vont (They (masculine or feminine) go/are going) 3rd person 3. Now to fill in that sentence! Je ______ au centre-commercial. (I am going to the mall.) We know that je means "I," so that means we need to use the first person singular. Using the chart, we see that the form of aller we need to use is "vais." Therefore, the complete sentence should read: Je vais au centre-commercial.
Add the following polynomials together: (7x^3+8x+6)+(2x^2+1)
1. First, before we add, we need to group the like terms together. 7x^3- This is the only term of its kind because no other numbers have an x^3. 2x^2- Again, this is the only term of its kind, but this time it's because no other numbers are paired with an x^2. 8x- This one is also alone because no other numbers have just an x. 6+1=7 Finally! We can add 6 and 1 together because they are both just plain old numbers! They do not have an x or an exponent. 2. Next, let's write out what we have, in order of exponents from least to greatest (descending order). 7x^3+2x^2+8x+7 (Remember that we added 6 and 1 to get 7.) There you have it! That's the final answer!
Find the slope of a line with the following coordinates: (-3,4), (5,5)
1. First, determine which formula you are going to use. Since we are looking for the slope of a line, you should use the slope formula: m=(y2-y1)/(x2-x1) 2. Next, make a list of the variables, which ones you know the values for, and which variable(s) you are trying to solve for: m=slope=We don't know this value, so this is what we will be looking for! y2 (one of the y-coordinates)=5 (You can pick whichever one you like, but for this example, we'll just use 5 since it is the second y-coordinate.) y1= 4 (Since we used 5 for y2, our only other y-coordinate left is 4.) x2=5 (Because we used 5 as y2, we have to use the other 5 (the x-coordinate in the point (5,5)) so that there is consistency. x2 and y2 go together.) x1= -3 (Again, because the number 4 in the point (-3,4) equals y1, that means that -3 has to be x1. x1 and y1 go together. 3. Now, it's time to substitute the numbers above for the variables. m=(5-4)/(5--3) 4. Let's do some math next! We are going to perform the operations that are inside of the parentheses first because, in the order of operations (PEMDAS), we know that we have to solve the problems within the parentheses first. (5-4)=1 (5--3)=(5+3)= 8 (Remember that when you are subtracting a negative number and have two negative signs next to each other, the negative signs turn into a plus sign and you add the two numbers together.) 5. Finally, let's put our final answer together! m=1/8 Side Note: If you were to go one step further and sketch this line on a graph, you would start at the point (-3,4). You would then reach the next point by going up one and over 8. Keep doing this until you at least reach the point (5,5). Since (1/8) is a positive slope, the line should point up and to the right.