Please help me with this

I need help on this ASAP

Dmitriy789 [7]

Answer:

B and D

Step-by-step explanation:

Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.

3 0

3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Allushta [10]

Answer:

The y-intercept of AB is y=4/3, the x-coordinate of the poit C is 4, the equation of the line that goes through BC is $6x-11=y$

Step-by-step explanation:

To find the y-intercept of AB we first have to find the equation of the line that goes through this segment.

We firt compute the slope of the segement which is given by

$m_1 = \dfrac{y_B - y_A}{x_B - x_A}= \dfrac{1-(-1)}{2-14} =\dfrac{-1}{6}$

Using this we can compute the equation of the line through AB using the point B=(2,1) and the formula

$\dfrac{-1}{6}=\dfrac{1-y}{2-x}$

we solve the last equation for $y$ and so we get

$y=\dfrac{-x}{6}+\dfrac{4}{3}$

The y-intercept of AB is the point in the line with x-coordinate equals to 0. Hence, the y-intercept is

$y(0) = \frac{-0}{6}+\frac{4}{3}=\frac{4}{3}$

Now, since the segments AB and BC are perpendicular, the slope of the line that goes through the segment BC is

$m_2 = -\dfrac{1}{m_1}=-\dfrac{1}{-\frac{1}{6}}=6$

Usinge the slope $m_2$ and knowing that the line goes through the point B=(2,1), to find the equation of the line through the segmen AC we use the following formula

$6=\dfrac{y-1}{x-2}$

we solve the equation for y and we get the equation

$y=6x-11$

Finally, to compute the x-coordinate of the point C we use the last equation and the fact that the y-coordinate is 13, it holds that

$13 = 6 x - 11 \quad \Rightarrow \quad x = \dfrac{13 + 11}{6}=\dfrac{24}{6}=4$

7 0

3 years ago

Read 2 more answers

The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and ar

Ivenika [448]

Given:

the perimeter of a rectangular field is 84 yards
the ratio of the length to the width is 2:1

To find:

the length
the width
the area

Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

Perimeter = 2 × (Length + Width)

Substituting the values that we have, into the formula above,

84 = 2 × (2x + 1x)

84 = 2 × 3x

84/2 = 3x

42 = 3x

x = 42/3

x = 14

Since we know the value of 'x', let's use it to find the length and the width.

Length = 2x = 2 × 14 = 28

Width = 1x = 1 × 14 = 14

Since we now know the length and the width, let's find the area of the rectangle.

The formula to find the area of a rectangle:

Area = Length × Width

Substituting the values we have into the formula,

Area = 28 × 14

Area = 392

Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

4 0

3 years ago

I can't find the surface area because I have no clue where to find the radius

Vladimir79 [104]

You are told the circumference of the sphere. The circumference is the length of the circle around the widest part. You know the formula for the circumference of a circle in terms of radius, so you can find the radius of the sphere.

C = 2πr
496.12 yd = 2*3.14*r
(496.12 yd)/(2*3.14) = r = 79 yd

Then the surface area of a sphere is given by ...
A = 4πr^2
A = 4*3.14*(79 yd)²
A = 78,386.96 yd²

_____
You can also find the area of a sphere in terms of its circumference.
A = C²/π
A = (496.12 yd)²/3.14 = 78,386.96 yd² . . . . same as above.

(The surface area in your problem statement, 3117.25 yd², corresponds to a sphere with a circumference of about 98.94 yd. The circumference given in the problem statement is almost 5 times that, which is why the area is almost 5²=25 times the area in your problem statement. This is a good one to ask your teacher about.)

3 0

4 years ago

Is part A correct? Im not entirely sure about it and also what is part B???

meriva

Answer:

A) $\frac{n^2}{2} + \frac{n}{2}$