All categories

2 years ago

the point of M ( a, 4 ) is the midpoint of the line segment with endpoint at A(1,3) and B(5,b). Find the value of a and b

Mathematics

2 answers:

vazorg [7]2 years ago

6 0

The value of a and b from the coordinates are 3 and 5 respectively

<h3>Midpoint of coordinates</h3>

The formula for finding the midpoint of two coordinates is expressed as;

M(x, y) = {x1+x2/2, y1+y1/2}

Given the following coordinates

M(a, 4)

A(1,3)

B(5,b)

Using the formula

a = 1+5/2

a = 6/2

a = 3

Similarly

4 = 3+b/2

8 = 3+b

b = 8-3

b = 5

Hence the value of a and b from the coordinates are 3 and 5 respectively

Learn more on midpoint here: brainly.com/question/18315903

#SPJ1

solniwko [45]2 years ago

6 0

The values are A = 3 and B = 5

You might be interested in

Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t

rodikova [14]

$\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}$

The distance traveled by the particle is given by the definite integral

$\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

where $C$ is the path of the particle. The distance is then

$\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi$

6 0

3 years ago

REALLY NEED HELP: The Venn Diagram shows a universe with 26 elements and two different outcomes: B and Y

Goshia [24]

Answer:

P(B|Y)=0.4

Step-by-step explanation:

We are given with a Venn diagram of a universe with 26 elements and two different outcomes: B and Y

And we are asked to find P(B|Y)

The formula for P(B|Y)= $\frac{P(B\cap Y)}{P(Y)}$

From Venn diagram, $P(B\cap Y)=\frac{n(B\cap Y)}{26} =\frac{8}{26} =\frac{4}{13}$

And P(Y)= $\frac{n(Y)}{26}=\frac{8+12}{26}= \frac{20}{26}= \frac{10}{13}$

Hence P(B|Y)= $\frac{(\frac{4}{13})}{\frac{10}{13}} =\frac{4}{10}=0.4$

6 0

3 years ago

Read 2 more answers

A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the t

ss7ja [257]

Answer:

the answer would be D

Step-by-step explanation:

first you add all your marbles up and that is you bottom half of the equation and then you put the amount of white marbles on top.

4 0

3 years ago

Read 2 more answers

1. Triangle XYZ has vertices at X (2, -1), Y (-4, -1), and Z (2, 2). The triangle will be dilated by a scale factor of 4. What w

sweet-ann [11.9K]

Answer:

Can’t right. Now

Step-by-step explanation:

8 0

3 years ago

At a putt putt course there are 50 yellow golf balls, 45 red golf balls, and 65 blue golf balls. What ratio compares the number

oksian1 [2.3K]

Blue balls : Total number.

Total number of balls = 50 + 45 + 65 = 160

Blue balls : Total number.

= 65: 160 Divide both by 5.
= 13 : 32

= 13/32. That is the ratio.

6 0

3 years ago