Answer:
by SAS only
Step-by-step explanation:
<h3><u>Given</u>:</h3>
- A rectangle has a height of 4 and a width of x² + 3x + 2.
<h3><u>To find</u>:</h3>
- The area of the entire rectangle.
<h3><u>Solution</u>:</h3>
Hence, we know that area of rectangle is equals to the product of length and breadth.
Therefore, the area of rectangle is,

Therefore, the answer is 4x² + 12x + 8.
1.B - - original function is y = sqrt(x). If we make sqrt(x+4), we will move the original function to the left 4. If we make sqrt(x+4)+3, additionally the original function will be moved up 3.
2.D - original function is y = sqrt(x). If we make sqrt(x-7), we will move the original function to the right 7. If we make 5*sqrt(x-7), additionally the original function will be expanded throw the y-axis.
3.E - original function is y = x^5. If we make -x^5 (multiply x^2 by -1), we will reflect the original function over the x-axis. If we make -x^5 - 4 , we additionally will move the original function down 4.
4.C - original function is y = x^2. If we make (x-3)^2, we will move the original function to the right 3. If we make x^2 - 5 , we will move the original function down 5.
5.A - original function is y = x^2. If we multiply x^2 by 1/3, function will be compressed about the y-axis.
Answer:
y = -5x - 3
Step-by-step explanation:
To answer this the slope must be clculated first
slope equation:

these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)
we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.
the next odered pair is 2 so x2 = -3 and y2 = 0.
With this information layed out we can solve:

0 - 10 = -10
-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive
= -5
the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:
y = mx+b
There are other equations that can be used for a line but with the info given this equation best suits the data.
m = slope
y and x = are the ordered pair you can input into the equation to slove
b = the y intercept
So the equation would be:
y = -5x - 3
Answer: B
Work:
Since the general formula of an arithmetic sequence is f(n) = (the first term) + (common difference)*(n-1), you just plug in what was given to you in the problem to that equation. The first term is -20 and the common difference is +15 since the the increase from one term to the next is 15. Doing so produces the equation f(n) = -20 + 15(n-1), which is choice B.