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antoniya [11.8K]
3 years ago
9

How to find slope when there is the y intercept and x-intercept?

Mathematics
1 answer:
natta225 [31]3 years ago
4 0
First graph your x and y intercept then pick any two points on the line.
\frac{rise}{run} = \frac{y2 - y1}{x2 - x1}
that's the equation used to find your slope

Example:

(4,2) (8,6) let's say those are the points you pick from the line

so then you subtract 6-2=4 (6 is your y2 and 2 is your y1)

then subtracts 8-4=4 (8is your x2 and 4 is your x1)

then your left with
\frac{2}{4}
if you can reduce the reduce in this case you can which leaves you with
\frac{1}{2}
and that's how you find the slope
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Do the following proofs
Anna11 [10]

1) By the SSS postulate we can tell that these two triangles are congruent.

-> What is SSS?

[] When three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are said congruent by side-side-side

[] The proof for the assignment

AB = DF, AC = DE, BC = EF    |    Given

The triangles are congruent   |    SSS Postulate

2) We can use AAS for these two triangles.

-> What is AAS?

[] When one side and two angles of a triangle are congruent to one side and two angles of another triangle, then the two triangles are said congruent by angle-angle-side

-> How does this apply here?

[] We are given that two angles are congruent to each other, so the angle-angle part is solved for. Since these two triangles share a side, that side will be congruent for each triangle, giving us angle-angle-side

[] The proof for the assignment

Angle T = angle N, angle TAB = angle NAB   |   Given

AB = AB   |    Reflexive Property

The triangles are congruent   |   AAS Postulate

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
2 years ago
Your assigned 32 math exercises for homework you complete 87.5of these before dinner how many do you hav to do after dinner.
krek1111 [17]
87.5% of 32 questions = 28 questions.

32 - 28 = 4

so there are 4 questions to be done after dinner.
5 0
3 years ago
Factor the following expression using the GCF: 10ab + 20.
Lostsunrise [7]
The first one is 10ab + 20
3 0
2 years ago
Read 2 more answers
Find the equation of the line that is perpendicular to the line 4x+2y=1 and passes through the point (-4,3)
serious [3.7K]

First find the slope of the given line:

4x +2y = 1

Subtract 4x from each side:

2y = -4x + 1

Divide both sides by 2:

y = -2x +1/2

The slope is -2.

Now use the slope to find the y-intercept. Because  the line is perpendicular, you need to use the negative inverse of the slope.

The negative inverse of -2 is 1/2

Now using the point-slope form y - y1 = m(x-x1)

Use the inverse slope for m, and the given point(-4,3) to get:

y - 3 = 1/2(x+4)

Simplify:

y - 3 = x/2 +2

Add 3 to each side:

y = x/2 + 5

Reorder the terms to get y = 1/2x +5

The answer is D.

5 0
3 years ago
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