3 years ago

Factor 2x^2 + 8x + 6 Thank You

Mathematics

1 answer:

vampirchik [111]3 years ago

3 0

Factored form: 2(x^2 + 4x + 3)

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Hi! What is y = x^2 -4x +5 vertex form? Please explain how you got this answer. Thanks! :)

Anarel [89]

${x}^{2} - 4x + 5 = 0 \\ {x}^{2} - 4x = - 5 \\ \\ { (\frac{b}{2} )}^{2} = ( \frac{ - 4}{2} ) = ( { - 2})^{2} = 4 \\ {x}^{2} - 4x + 4 = - 5 + 4 \\ {(x - 2)}^{2} = - 1 \\ {(x - 2)}^{2} + 1$
The last line is in vertex form, and can see the vertex is located at (2,1).

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2 years ago

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In triangle abc, m of acb = 90, cd is perpendicular to ab , m of acd is 60. and bd is 5 cm. find ad

weeeeeb [17]

Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

$\angle acd = 60 ^{\circ}$

Therefore, we have

$\angle dcb =90- 60= 30 ^{\circ}$

Now, in triangle bcd, we have

$\tan30 = \frac{5}{cd}\\
\\
\frac{1}{\sqrt 3}=\frac{5}{cd}\\
\\
cd=5\sqrt 3$

Now, in triangle acb, we have

$tan 60 = \frac{ad}{5\sqrt3} \\
\\
\sqrt 3= \frac{ad}{5\sqrt3}\\
\\
ad= 5\sqrt3 \times \sqrt 3\\
\\
ad= 5\times 3\\
\\
ad=15$

Thus, ad is 15 cm.

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2 years ago

Which pair of triangles can be proven by congruent SAS? HELP ASAP

Y_Kistochka [10]

The first one since the given measurements/guide is Side, Angle, Side

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3 years ago

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A car servicing station is running a special offer. The breakdown of the cost for different services is given below.

ohaa [14]

Answer:

C. It is the total cost of the membership fee and the tire pressure check for 12 months.

Step-by-step explanation:

The constant represents the sum of costs that are <em>not</em> "per car." Those are only "membership fee" ($50) and "tire pressure check" ($15/mo × 12 mo = $180).

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2 years ago

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The floor inside the horse barn is 45 feet long and 20 feet wide . The barn has 2 floors ( an upstairs and downstairs ) and both

Dahasolnce [82]

To find area we multiple length by width

20 times 45 is 900

then multiply that by 2 because there are two floors that are that size

900 times 2 is 1800

the total area for both floors is 1800 square feet

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3 years ago