Answer:
Step-by-step explanation:
We have given:
E is (-1,6) and F is (3,9)
And ratios are 3:2
We will use the section formula to find the required coordinates:
section formula=
Here,
On substituting the values in the formula we get:
Hence, required coordinates are:
You want to know when both colleges have the same enrollment. "When" is a time thing so you are going to be solving for x. The number of students is the same and that means you will be solving for y.
Since both ys are equal, you can equate the right side of each equation to each other.
0.046 x + 0.570 = - 0.036x + 2.702 There are a number of ways to go on. The easiest is to dig out your calculator. Add 0.036x to both sides.
0.046x + 0.036x + 0.570 = 2.702
0.082x + 0.570 = 2.702 Now subtract 0.570 from both sides.
0.082x = 2.702 - 0.570
0.082x = 2.132 Divide by 0.084
x = 2.132 / 0.082
x = 26 which means you add 26 onto 1990. The year this took place was 2016
x = 2016 (That's the year there was equality in enrollment). The second one is the only year that gives 2016 as an answer. So you don't have to find y. But we'll do it anyway.
Now you have to solve for y
y = 0.046x +0.57 put 26 in for x
y = 0.046 * 26 + 0.570
y = 1.196 + 0.570
y = 1.766 enrollment numbers were equal, but this is in thousands.
y = 1766 enrollment in actual numbers of students.
Second choice <<<<<===== answer.
Hey! I'm here <3
Let's go through this.
The standard form formula is ax+by=c. A can't be a fraction <em>or</em> a negative. In order to clear the denominator and the negative, can can multiply both sides by -4. That gets us:
-4y = 3x -12
Then, we can add 4y to both sides, and then add 12 to the other side.
12 = 3x+4y, or 3x+4y = 12. Therefore, the first answer is correct.
For the second one, we do the same thing. We can multiply both sides by -5 to clear the denominator and the negative. That'll get us:
-5y = 2x-15.
We can then add the 5y to the right side and add the 15 to the left.
15 = 2x+5y, or 2x+5y = 15. Therefore, the first answer is correct again.
Next one: parallel lines always have the same slope. So, we know that the slope is going to be 5. We can then use the points given to find b.
14 = 5(2) + b
14 = 10 +b
4 = b.
Therefore, our equation will be y = 5x +4. The last option is the correct
answer.
Now for number 20. For perpendicular slopes, the slope is always going to be the opposite of the reciprocal of the given slope. We see here here that, that isn't the case, therefore it's neither, because it's definitely not the same slope, so not parallel.
Ready for the last one?
<em /><em />If it's perpendicular, we know it's the opposite of the reciprocal, or -2/5. That narrows our answer down to A and C. It seems like the difference between the two is the x+5 or the x+5. Let's clear that up. We see that the x-value is -7. If the formula states to subtract the x, and the x is already negative, that creates a plus, so the answer is c.
I hope my long-paragraph-thing helped you!
Answer:
A narrow majority of U.S. adults (53%) now describe their personal financial situation as excellent or good, up from 47% in April 2020. The share saying their finances are in only fair or poor shape now stands at 46%, compared with 52% earlier in the pandemic.
Step-by-step explanation:
The scatter plot has been attached
Answer:
Options C, D & E are true
Step-by-step explanation:
Option A is wrong because from the scatter plot, only four athletes were faster in the second race than in the first one.
Option B is wrong because only 1 athlete had his second race time differing from the first race time by exactly 2 seconds.
Option C is true because exactly 9 of the times for the first race were at least 16 seconds
Option D is true because there are exactly 3 athletes who had the same time in both races
Option E is true because 8 of the times for the second race were less than 17 seconds
