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Hitman42 [59]
3 years ago
10

Please help? (03.04) What are the coordinates of the vertex for f(x) = x^2 + 4x + 10?

Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

(-2, 6)

Step-by-step explanation:

f(x) = x² + 4x + 10

f(x) = x² + 4x + 4 + 6

f(x) = (x + 2)² + 6

The vertex is at (-2, 6).

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The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem. Which mat
Vsevolod [243]

Solution:

It is given that two triangles Δ ABC and Δ X Y Z are similar by Side -Side - Side(SSS)  Similarity theorem.

So, the Statement which is given, that is →→∠B ≅ ∠Y and ∠B ≅ ∠Z, is inadequate for similarity criterion by SSS, as these statement are about angles of Triangles,not sides, which can't be true.

So, if the two triangles are Similar by SSS criterion , then the appropriate mathematical statement must be,

⇒\frac{AB}{XY}=\frac{BC}{ZY}=\frac{AC}{XZ}

8 0
2 years ago
Read 2 more answers
How do I factor x^4-5x^2+6?
Vilka [71]

Answer:

=(x^2-3)(x^2-2)

Step-by-step explanation:

So we have the expression:

x^4-5x^2+6

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

=u^2-5u+6

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

=u^2-2u-3u+6

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

=u(u-2)-3(u-2)

Grouping:

=(u-3)(u-2)

Now, substitute back the x² for u:

=(x^2-3)(x^2-2)

And this is the simplest form.

And we're done!

3 0
2 years ago
Help me fine the intercepts please
borishaifa [10]

Answer: y intercept is (0, 0.4) and the x intercept is (0, 0.3)

Step-by-step explanation: intercept is where the line meets the axis so, we see there that on the y axis it is on 0.4 and on the x axis it is on the middle between 0.2 and 0.4 which makes it 0.3.

6 0
2 years ago
If Carbon Monoxide had a concentration in the air of 0.000518% how many particles out of 331,002,651 would be Carbon Monoxide?
Alex17521 [72]

Answer:

171,459 particles of CO

Step-by-step explanation:

331,002,651×0.000518 = 171459

5 0
3 years ago
Laura picks 7 apples.Some apples are red and some are green. Fewer than 4 of the apples are red. How many of laura's apples coul
GrogVix [38]

Answer:

As many as 7 apples or as few as 4 apples could be green.

Step-by-step explanation:

Laura picks 7 apples.Some apples are red and some are green. Fewer than 4 of the apples are red. How many of laura's apples could be green?​

x = total number of red apples

y = total number of green apples

Fewer than 4 of the apples are red.

x<4

That means that 3 or less of the apples are red

So, 7 - 3 = 4

That means that 4 or more apples are green.

7≥y≥4

That means that as many as 7 apples or as few as 4 apples could be green.

7 0
2 years ago
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