All categories

2 years ago

Line segment BD is a diameter of circle E. What is the measure of arc ?

Mathematics

2 answers:

DIA [1.3K]2 years ago

6 0

Answer:

Step-by-step explanation:

Ed2020

nekit [7.7K]2 years ago

5 0

Answer:

C) 78

Step-by-step explanation:

just took the test on edg2020

You might be interested in

How many times greater is the population of china than the population of france? write your answer in standard notation

bezimeni [28]

<em>In Scientific Notation:</em>
China's current population is 1,355,692,544 while France only has 66,259,012. China has 1.29x10⁹ more people than the latter has. China is 0.20x10⁻² times greater in terms of population than France.

<em>In Mathematical sentence:</em>
China has over 1,289,433,532 people than France.
It is 20.46050044 times greater in population than France.

3 0

3 years ago

Read 2 more answers

Can somebody explain this to me when 2du = 16xdx ???

tamaranim1 [39]

When you set $u=4x^2+4$ , you end up with the differentials $\mathrm du=8x\,\mathrm dx$ . Multiplying both sides by 2 gives $2\,\mathrm du=16x\,\mathrm dx$ .

Then the integral is

$\displaystyle\int_0^1\frac{16x}{(4x^2+4)^2}\,\mathrm dx=\int_4^8\frac2{u^2}\,\mathrm du=-\frac2u\bigg|_{u=4}^{u=8}=-2\left(\frac18-\frac14\right)=\frac14$

8 0

2 years ago

Which of the following statements is not true

almond37 [142]

Answer:

2nd option is the answer

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$