7x + 15 = 38
7x = 38 - 15
7x = 23
x = 23/7 (twenty- three sevenths)
Answer:
See explanation below.
Step-by-step explanation:
The scale factor can be found by dividing two corresponding side lengths. For instance, if you have two triangles, divide the new length of the larger or smaller triangle by the same side length of the original.
If the side length of the new was 9 and the old was 3 then the scale factor would be 9/3 = 3.
If it were flipped then the new would be 3 and the old would be 9. So the scale factor would be 3/9 = 1/3.
<span>Part
1: Jasmine
practices the piano for 30 minutes on Monday. Every day she increases her practice time by 5 minutes. If she continues this
pattern, how many minutes, on the 7th day she will practice Tn = a + (n - 1)d
T7 = 30 + 5(7 - 1) = 30 + 5(6) = 30 + 30
T7 = 60 minutes
Part 2: Anthony
goes to the gym for 10 minutes on Monday. Every day he multiplies his
gym time by 2. If he continues this pattern, on the 5th day she will spend 10(2)^(5 - 1) = 10(2)^4 = 10(16) = 160 minutes in the gym.
</span>
Answer:
22) y=1/4x-3/4
23) y=-1/3x-9
Step-by-step explanation:
22 ) Using the rise/run strategy, we can find the slope. From (-1,-1) you go up 1 unit to reach the same level as (3,0), and go right 4 to reach (3,0). This means your rise/run is 1/4, which is also your slope. Now to find the y-intercept, we can use the equation format y=mx+b. m is your slope, which we have, and b is the y intercept. With y and x, we can substitute in a point we already know, for example (-1,-1) as (x,y). When everything we know is substituted in, we get -1=(1/4)(-1)+b. According to PEMDAS, we should now multiply 1/4 and -1 to get (-1/4). Now our equation is -1=-1/4+b. To isolate B, we need to add 1/4 on both sides. As a result, you'll get -3/4. Your y intercept is -3/4. Thus, the final equation is y=1/4x-3/4.
23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.
