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Helen [10]
3 years ago
11

I need help with these questions it's too hard to fit the problem and question together ​

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Step-by-step explanation:

I can give you the formulas and how to do it.

The formula for finding the slope is

y²-y¹ all over(divided by) x²-x¹.

You take the order pairs and you label them.

For example, the first one.

(4,2) 4 can be x¹ and 2 can be y¹

(7,6.5) 7 can be x² and 6.5 can be y²

So then you plug it in.

(6.5-2) all over/divided by (7-4)

That ends up being 4.5 over 3. Fraction form.

That is your slope.

Then you plug the slope into the point-slope formula which is

y-y¹=M(x-x¹).

You plug your slope in for M.

You pick either of the given points and plug it in for y¹ and x¹.

Then you solve.

If done right, your formula will end up matching the slope-intercept formula

y=Mx+b.

M is your slope.

b is your y-intercept.

Dont freak out when you start doing it with fractions. Just because it looks wierd, doesnt mean it's wrong.

Use this process for all four.

Hope this helps.

You might be interested in
write the slope- intercept form of the equation of the line parallel to - x+5y=25, passing through the point (-5,-5). simplify
Olenka [21]
To find the equation of a line that is parallel to your original equation and goes through a certain point on a graph, here's what you need to know:
First you need to find the slope of your original equation.
To do that, you need to convert it to slope intercept form (y = mx+b).
Add the x over, and then divide everything by 5 to get the y by itself.
Here's what that would look like (without the small steps that I mentioned):
-x + 5y = 25
5y = x + 25
y = 1/5x + 5

That's the original equation rewritten in slope intercept form.
The m represents the slope, so this equation's slope is 1/5.

Because you are given a point, and now you have a slope, the best and easiest route is using point slope form.
I've seen different versions of the equation base but I prefer y - y(sub1) = m(x - x(sub1))
But since I can't use subscripts in this, I'll use the one with h and k. The h is the x value of the point, and the k is the y value.
(h,k)
Then just substitute the values in and solve for y.
y - k = m(x - h)
y + 5 = 1/5(x + 5)
y + 5 = 1/5x + 1
y = 1/5x - 4

Your final answer is
y = 1/5x - 4
You can double check by using a graph. If the slopes are the same, the lines should be parallel.

I hope that helps. If anything didn't make sense, feel free to ask me.
5 0
2 years ago
What is the length of AC
meriva
Hi!
This is a fun one, as it delves into basic trigonometry.

We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,

a² + b² = c²

We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)

Let's do the one on the right first.

We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).

a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6

Therefore, the length of DC is about 7.6.

Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.

Have a great one!
7 0
2 years ago
If a coin has been altered so that the probability of heads coming up is 3/10, then the probability of tails coming up is also 3
soldier1979 [14.2K]
False. In a coin, there are 2 possible out comes i.e. a head and a tail. if p is the probability of one side coming up, then the probability of the other side comin up will be q = 1 - p.

Therefore, if the probability of head coming up is 3/10, the probability of tail coming up will be 1 - 3/10 = 7/10.
8 0
3 years ago
Please help me asappp! I'll give brainlest and points! ​
antiseptic1488 [7]

Answer:

1) true

2)true

3)false

4)true

5)true

6) false

7))true

8)true

9)false

10)false.

11)false

12)true

4 0
2 years ago
Read 2 more answers
Write the equation for the graph below.<br> PLEASE I NEED HELP !
mrs_skeptik [129]
Y= 1x+ 3
1x is the slope and 3 is the y intercept
I did rise over run to find the slope 3/3=1
Y is 3 because y intercept is when a line go through the y axis and it’s on 3
hope this helps!
5 0
3 years ago
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