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3 years ago

Please help with this question.

Mathematics

1 answer:

Goryan [66]3 years ago

8 0

Answer:

Option 3

Step-by-step explanation:

The vertex is the maximum or minimum (in this case, maximum), which is (2,4). The axis of symmetry is the line about which the graph of the parabola is symmetric, which is x=2.

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Billy jogs 4/5 kilometers every minute how many kilometers does he jog after 6 1/8 minutes

finlep [7]

Answer:

He jogs 4 9/10 kilometers in 6 1/8 minutes

Step-by-step explanation:

If you multiple 4/5 time 6 1/8 you'll get 4.9, which in fraction form is 4 9/10.

6 0

3 years ago

Anybody help me to solve this question.

Mumz [18]

Answer:

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)} are\ in\ AP$

Step-by-step explanation:

Given that $(b-c)^2, (c-a)^2 , (a-b)^2$ are in AP

To prove: $\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}$ are in AP

From given as we know if p , q, r are in AP then 2q= p+r.

$2(c-a)^2= (b-c)^2+(a-b)^2\\\\\Rightarrow 2(c^2+a^2-2ac)=b^2+c^2-2bc+a^2+b^2-2ab\\\\\Rightarrow 2c^2+2a^2-4ac= 2b^2+c^2+a^2 -2bc-2ab\\\\\Rightarrow a^2+c^2-2b^2-4ac= -2bc-2ab\\\\\Rightarrow a^2-2b^2+c^2= 4ac-2bc-2ab$

Now

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}2\dfrac{1}{(c-a)} =\dfrac{1}{(b-c)}+\dfrac{1}{(a-b)}\\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-b+b-c}{(b-c)(a-b)} \\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-c}{(b-c)(a-b)} \\\\\Rightarrow2(b-c)(a-b) = (c-a)(a-c) \\\\\Rightarrow 2(ab-b^2-ac+bc)= -(a-c)^2\\\\\Rightarrow 2ab- 2b^2-2ac+2bc = -a^2-c^2+2ac\\\\\Rightarrow a^2-2b^2+c^2=4ac-2ab-2bc$

Which is the result of AP

Hence proved

6 0

3 years ago

X^2-4x-5x=0<br><img src="https://tex.z-dn.net/?f=x%20%7B2%7D%20%20-%204x%20-%205x%20%3D%200" id="TexFormula1" title="x {2} - 4x

Bogdan [553]

Answer:

x = 9 or x = 0

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 4 x - 5 x = 0

x^2 - 4 x - 5 x = x^2 - 9 x:

x^2 - 9 x = 0

Factor x from the left hand side:

x (x - 9) = 0

Split into two equations:

x - 9 = 0 or x = 0

Add 9 to both sides:

Answer: x = 9 or x = 0

7 0

3 years ago

Read 2 more answers

Whats the slope and y intercept of y-2x=5

ki77a [65]

Answer 5 is the y intercept and -2 is the slope. It is because of y=mx+b where b is the y intercept and m is the slope

4 0

3 years ago

If 3t - 7 = 5t, then 6t =

STALIN [3.7K]

Answer:

-21 = 6t

Step-by-step explanation:

3t - 7 = 5t

Subtract 3t from each side

3t-7-3t = 5t-3t

-7 = 2t

Multiply each side by 3 to get 6t

-7*3 = 2t*3

-21 = 6t

6 0

4 years ago

Read 2 more answers