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3 years ago

15

Find the length of BC.

1 answer:

STatiana [176]3 years ago

3 0

Answer:

ki.f,gxjnbvb

Step-by-step explanation:b nn n vhhhvb bhv hv

You might be interested in

The general form of an parabola is 2x2−12x−3y+12=0 .

Murljashka [212]

Answer:

The standard form of the parabola is $(x-3)^2=4*\frac{3}{8}(y+2)$

Step-by-step explanation:

The standard form of a parabola is

$(x-h)^2=4p(y-k)$ .

In order to convert $2x^2-12x-3y+12=0$ into the standard form, we first separate the variables:

$2x^2-12x+3y+12=0\\\\2x^2-12x+12=3y$

we now divided both sides by 2 to remove the coefficient from $2x^2$ and get:

$x^2-6x+6=\frac{3}{2}y$ .

We complete the square on the left side by adding 3 to both sides:

$x^2-6x+6+3=\frac{3}{2}y+3$

$x^2-6x+9=\frac{3}{2}y+3$

$(x-3)^2=\frac{3}{2}y+3$

now we bring the right side into the form $4p(y-k)$ by first multiplying the equation by $\frac{2}{3}$ :

$\frac{2}{3} *(x-3)^2=\frac{2}{3} *(\frac{3}{2}y+3)\\\\\frac{2}{3} *(x-3)^2=y+2$

and then we multiplying both sides by $\frac{3}{2}$ to get

$(x-3)^2=\frac{3}{2} (y+2)$ .

Here we see that

$4p=\frac{3}{2}$

$\therefore p=\frac{3}{8}$

Thus, finally we have the equation of the parabola in the standard form:

$\boxed{(x-3)^2=4*\frac{3}{8}(y+2)}$

5 0

3 years ago

In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.

yan [13]

Answer:

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average <em>rate of change</em> is <em>slope</em>.

Step-by-step explanation:

The average rate of change of the cost of a pack ( $r$ ), in monetary units per year, is equal to the change in the average cost of a pack ( $\Delta c$ ), in monetary units, divided by the change in time ( $\Delta t$ ), in years. Then, the average rate of change is:

$r = \frac{\$\,5.31-\$\,0.88}{2000-1980}$

$r = \$\,0.22\,\frac{1}{yr}$

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average <em>rate of change</em> is <em>slope</em>.

8 0

3 years ago

Can you please help me on this question 6(1-4r)+3r=-3(3r-2)-6r

Lisa [10]

Answer:

r=0

Step-by-step explanation:

1. Remove Parentheses

2. Cancel equal terms

3. Collect like terms

4. Move variable to the left

5. Collect like terms

6. Divide both sides by -6

8 0

2 years ago

Find the gradient of the line joining (-1,9) and (3,5)

givi [52]

$\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}$

<em>Find the gradient of the line joining (-1,9) and (3,5)</em>

<em /> $\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}$

Use the slope formula:-

$\boxed{\frac{y_2-y_1}{x_2-x_1}}$

Replace the letters with the numbers:-

$\boxed{\frac{5-9}{3-(-1)}}$

$\circ$ On simplification,

$\boxed{\frac{-4}{3+1}}$

$\circ$ On further simplification,

$\boxed{\frac{-4}{4}}$

$\circ\sf{SLOPE=-1}$

<h3>Good luck with your studies.</h3>

$\rule{300}{1}$

5 0

1 year ago

The annual profits for a company are given in the following table, where x represents the number of years since 2012, and y repr

Svetllana [295]

Answer:

y=22.6x+52.33

2020

6 0

2 years ago

Read 2 more answers