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ivolga24 [154]
3 years ago
15

Complete the equation of the line through (-9,7) and (-6,-3)

Mathematics
1 answer:
masya89 [10]3 years ago
4 0

Answer:

In point slope form, the equation is y-7=(-10/3)(x+9).  In slope-intercept form, it is y=(-10/3)x-23.

First find the slope of the line.  The formula for slope is

m=(y₂-y₁)/(x₂-x₁)

Using our points, we have 

m=(-3-7)/(-6--9) = -10/3

Plug this into point slope form:

y-y₁=m(x-x₁)

y-7=(-10/3)(x--9)

y-7=(-10/3)(x+9)

Using the distributive property:

y-7=(-10/3)*x+(-10/3)*9

y-7=(-10/3)x-90/3

y-7=(-10/3)x-30

Add 7 to both sides:

y=(-10/3)x-23

Read more on Brainly.com - brainly.com/question/9534978#readmore

Step-by-step explanation:

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Which of the following is a like radical to RootIndex 3 StartRoot 7x EndRoot?
lana [24]

Answer:

A. 4 (RootIndex 3 StartRoot 7 x EndRoot)  or 4(\sqrt[3]{7x})

Step-by-step explanation:

Given:

A radical whose value is, r_1=\sqrt[3]{7x}

Now, we need to find the like radical for r_1.

Let the like radical be r_2.

As per the definition of like radicals, like radicals are those that can be expressed as multiples of each other.

So, if two radicals r_1\ and\ r_2 are like radicals, then

r_1 = n \times r_2


Where, 'n' is a real number.

Here, r_1=\sqrt[3]{7x}

Now, let us check all the options .

Option A:

4 (RootIndex 3 StartRoot 7 x EndRoot) or r_2=4\sqrt[3]{7x}

Now, we observe that r_2 is a multiple of r_1 because

r_2=4\times \sqrt[3]{7x}\\\\ r_2=4\times r_1..............(r_1=\sqrt[3]{7x})

Therefore, option A is correct.

Option B:

StartRoot 7 x EndRoot or r_2=\sqrt{7x}

As the above radical is square root and not a cubic root, this option is incorrect.

Option C:

x (RootIndex 3 StartRoot 7 EndRoot) or r_2=x\sqrt[3]{7}

As the term inside the cubic root is not same as that of r_1, this option is also incorrect.

Option D:

7 StartRoot x EndRoot or r_2=7\sqrt{x}

As the above radical is square root and not a cubic root, this option is incorrect.

Therefore, the like radical is option (A) only.

4 0
3 years ago
Read 2 more answers
If you flipped the coin 100 times, how many heads would you expect to get? Explain your answer.
Irina18 [472]

Answer:

You would expect to get 50 heads

Step-by-step explanation:

Each time you flip a coin you will either get heads or tails. This means that you have a 1/2 probability of getting heads. If you use this then you need to multiply 1/2 and 100 to get the expected amount of heads. Multiplying by a half is just dividing by 2. Therefore, the answer is 100/2 = 50. The answer is 50 heads


5 0
3 years ago
Which number is irrational
umka21 [38]
D. because when u take the square roots it's not a solid number it's a decimal
7 0
3 years ago
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The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approxima
AlexFokin [52]
I believe it’s a. -1.5
3 0
3 years ago
Explain your answer !! <br> Have a nice day
mash [69]

Answer:

(-3,-1)

Step-by-step explanation:

you can solve this by using elimination.

make the first equation in terms of x by adding 5y to each side and dividing by 2. this will give you x= 2.5y - 0.5.

now substitute this equation into the second one. this will give you:

-3(2.5y - 0.5) + 2y = 7

you solve this for y which will give you y = -1

now that you have the y value you can substitute this in the first equation to get: 2x - 5(-1) = -1

you solve this for x which will give you x = -3

4 0
3 years ago
Read 2 more answers
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