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2 years ago

7/√10-√3 plss faast very urgent

Mathematics

2 answers:

love history [14]2 years ago

8 0

Hope this helps, have a great day!

Bogdan [553]2 years ago

6 0

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Here's the solution :

$\dfrac{7}{ \sqrt{10 } - \sqrt{ 3} }$

$\dfrac{7}{ \sqrt{10} - \sqrt{ 3} } \times \dfrac{ \sqrt{10} + \sqrt{3} }{ \sqrt{10} + \sqrt{3} }$

$\dfrac{7( \sqrt{10} + \sqrt{3} )}{( \sqrt{ 10}) {}^{2} - ( \sqrt{ {3}})^{2} }$

$\dfrac{7 (\sqrt{10} + \sqrt{3}) }{10 - 3}$

$\dfrac{7( \sqrt{10} + \sqrt{3} )}{7}$

$\sqrt{10} + \sqrt{3}$

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2 years ago

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Need 2 more. 50 points!<br><br> Please show work, Thanks! :)

rjkz [21]

Answer:

1) C

2) C

Step-by-step explanation:

Question 1)

We want a parabola that has the vertex (-8, -7) and also passes through the point (-7, -4).

So, we can use the vertex form. Remember that the vertex form is:

$y=a(x-h)^2+k$

Where a is our leading co-efficient and (h, k) is our vertex.

We know that our vertex is (-8, -7). So, substitute this into the equation:

$y=a(x-(-8))^2+(-7)$

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Now, we need to determine the value of our a. To do so, we can use the point the problem had given us. We know that the graph passes through (-7, -4).

So, when x is -7, y is -4. Substitute -7 for x and -4 for y:

$(-4)=a((-7)+8)^2-7$

Solve for a. Add within the parentheses:

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Square:

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Add 7 to both sides. Therefore, the value of a is:

$a=3$

So, our entire equation in vertex form is:

$y=3(x+8)^2-7$

Our answer is C.

Question 2)

We are given a graph and are asked to find the equation of the graph.

Again, let's use the vertex form. From the graph, we can see that the vertex is at (-2, 2). Let's substitute this into our vertex equation:

$y=a(x-(-2))^2+2$

Simplify:

$y=a(x+2)^2+2$

Again, we need to find the value of a.

Notice that the graph crosses the point (-1, 5).

So, let's substitute -1 for x and 5 for y. This yields:

$5=a((-1)+2)^2+2$

Solve for a. Add within the parentheses.

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Square:

$5=a+2$

Subtract 2 from both sides. So, the value of a is:

$a=3$

Therefore, our entire equation is:

$y=3(x+2)^2-2$

Our answer is C.

And we're done!

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2 years ago

7/√10-√3 plss faast very urgent​

7/√10-√3 plss faast very urgent