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san4es73 [151]
3 years ago
15

Find the Vertex of 2x^2+8x+1 A. (-2,-7) B.(1,7) C.(-2,-1) D.(3,-4)

Mathematics
1 answer:
Nana76 [90]3 years ago
4 0
A.) (-2,-7) is the answer.
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Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y
miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

5^{x-2}= 8

Taking Log on both sides.

Log_e 5^{x-2}=Log_e8

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x  =  2.477

Therefore the value of x will be equal to 2.477.

To know more about Logarithm follow

brainly.com/question/25710806

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5 0
2 years ago
Complete the proof by providing the missing statement and reasons
Lisa [10]

Answer:

In triangle SHD and triangle STD.

\overline{SD} \perp \overline{HT}          [Side]

Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.

⇒ \angle SDH = \angle SDT = 90^{\circ}

\overline{SH} \cong \overline{ST}       [leg]               [Given]

Reflexive property states that the value is equal to itself.

\overline{SD} \cong \overline{SD}       [Leg]       [Reflexive property]

HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.


then, by HL theorem;

\triangle SHD \cong \triangle STD                       Proved!



6 0
3 years ago
A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of e
harkovskaia [24]
Well 18 people is 3/4 of 24 people. So for each ingredient just multiply the value by 0.75.

3 litres of lemon line Soda
1.5 pints of sherbet
4.5 cups of ice
5 0
3 years ago
N is the midpoint of AC; AN = 4x - 7 and NC = 5x - 15<br> Find NC=
coldgirl [10]

Answer:

A____N____C

AN= NC

4x-7=5x-15

5x-4x= 15-7

x= 8

NC = 5x-15=5(8) – 15 = 40 – 15 = 25

I hope I helped you^_^

4 0
2 years ago
The surface area of the cone is 43.75pie cm^2. What is the slant height of the cone and the diameter is 5
Masteriza [31]
If the diameter of the cone is 5, then the radius of it will be half that, or 2.5, thus

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3 0
3 years ago
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