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polet [3.4K]
2 years ago
9

Write the equation of the line that goes through points (4,-2) and (3,1) equation:

Mathematics
1 answer:
Elanso [62]2 years ago
5 0

Answer:

y = −3x + 10

Hope this helps you.

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Please answer the question carefully and completely.
LiRa [457]

He has 21 classmates, you know this by, taking 17.5 and dividing it by the 5/6. This leading to get you 21.

7 0
3 years ago
The Johnson twins were born eleven years after their older sister. This​ year, the product of the three​ siblings' ages is exact
vodka [1.7K]
So there are 3 siblings: the first twin, the second twin, and their older sister.

Since the sister is older by 11 years, you can represent their relationship with the following equation;
age of twin = age of older sister - 11
t = s - 11

Representing this next part may be a little hard to show, but i'll do my best :)

Adding the ages together can be represented like this;
total age = t + t + s
If the product of their ages ( t * t * s ) is 1181 more than the sum, you can show it like this:
t * t * s = (t + t + s) + 1181
Now you substitute in (s - 11) for t because s = t - 11.
t * t * s = (t + t + s) + 1181\\
(s-11) * (s-11) * s = ((s-11) + (s-11) + s) + 1181\\
(s^{2}-22x+121)*s=s+s-11-11+1181\\
s^{3}-22s^{2}+121s-2s=1159\\
s^{3}-22s^{2}+118s-1159=0
Factor:
Since it's a third-degree equation, I just entered it into a polynomial solver in my calculator. There was only one factor listed, x = 19. Using (s - 19) = 0 as a factor, the equation becomes the following:
s^{3}-22s^{2}+118s-1159=0\\
(s-19)(s^{2}-3s+61)=0
Using the quadratic formula, you get:
s= \frac{-b(+-)\sqrt{b^{2}-4ac}}{2a}\\
s= \frac{-(-3)(+-)\sqrt{(-3)^{2}-4(1)(61)}}{2*1}\\
s= \frac{3(+-)\sqrt{(9)-244}}{2}\\
s= \frac{3(+-)\sqrt{-235}}{2}

Since you have a square root of a negative number, the answer will be imaginary. You cannot have an age that is imaginary, so the age of the older sister (s) is 19 years.

Because t = s - 11, that means that t = (19) - 11 = 8.
t is the age of the twins, so the twins are 8 years old.
8 0
3 years ago
Evaluate the function at the given point.
Lesechka [4]
X equals 3 and y equals 5 I hope this is the right answer u need
7 0
3 years ago
Someone help plz I need some help good at finding slope people? Anyone
fenix001 [56]
The slope is -5/2.

since the slope is decreasing, it is negative.
4 0
3 years ago
Read 2 more answers
Nakita rode her skateboard at an average speed of 8.8 feet per second for 0.2 miles. She wants to calculate how long it took her
timama [110]

Answer: 2\ minutes

Step-by-step explanation:

We know that:

d=rt

Where "d" is distance, "r" is rate and "t" is time.

Solved for the time "t":

t=\frac{d}{r}

The first step is to convert the distance from miles to feet.

Since 1\ mile=5,280\ feet, we get:

d=(0.2\ mi)(\frac{5,280\ ft}{1\ mi})\\\\d=1,056\ ft

Knowing that:

r=8.8\ \frac{ft}{s}

We can substitute values into t=\frac{d}{r} in order to find the time in seconds:

t=\frac{1,056\ ft}{8.8\ \frac{ft}{s}}\\\\t=120\ s

Since:

1\ minute = 60\ seconds

The time in minutes is:

t=(120\ s)(\frac{1\ min}{60\ s})\\\\t=2\ min

7 0
3 years ago
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