All categories

3 years ago

2^x-1 +2 ^ 2+ 2 ^ x =3 ^ 2 : 1/ 2^ 5

Mathematics

1 answer:

Nina [5.8K]3 years ago

4 0

2−1+22+2=32125

Step-by-step explanation:

plzzzzzzz Mark my answer in brainlist and follow me

You might be interested in

A(7-1), B(6, 4) and C(5, 5) are three

Andrej [43]

Answer:

The answer is below

Step-by-step explanation:

The equation of the line passing through two points is given by:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\$

The equation of line AB is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{4-(-1)}{6-7}(x-7)\\\\y+1=-5(x-7)\\y+1=-5x+35\\y=-5x+34$

The midpoint of two lines is given as:

$x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+6}{2}=6.5, y=\frac{-1+4}{2}=1.5\\ = (6.5,1.5)$

The equation of line AC is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{5-(-1)}{5-7}(x-7)\\\\y+1=-3(x-7)\\y+1=-3x+21\\y=-3x+20$

The midpoint of two lines is given as:

$x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+5}{2}=6, y=\frac{-1+5}{2}=2\\ = (6,2)$

The product of the slope of a perpendicular bisector of a line and the slope of the line is -1. That is m1m2 = -1

The slope of the perpendicular bisector of AB is:

m(-5)=-1

m=1/5

The equation of the perpendicular bisector of AB passing through (6.5,1.5) is:

$y-y_1=m(x-x_1)\\y-1.5=\frac{1}{5}(x-6.5)\\y=\frac{1}{5} x-8.25$

The slope of the perpendicular bisector of AB is:

m(-3)=-1

m=1/3

The equation of the perpendicular bisector of AB passing through (6,2) is:

$y-y_1=m(x-x_1)\\y-2=\frac{1}{3}(x-7)\\y=\frac{1}{3} x-4.33$

2) The point of intersection is gotten by solving y = 1/5 x -8.25 and y = 1/3 x-4.33 simultaneously.

Subtracting the two equations from each other gives:

0= -0.133x - 3.92

-0.133x = 3.92

x = -29.5

Put x = -29.5 in y = 1/5 x -8.25 i.e:

y = 1/5 (29.5) -8.25

y = -14.16

The point of intersection is (-29.5, -14.16)

4 0

3 years ago

????(−2, 10) is the midpoint of . If ???????? has coordinates (4, −5), what are the coordinates of ?????

Sonbull [250]

Answer:

The coordinates of B are (-8,25).

Step-by-step explanation:

Consider the completer question is " M(−2, 10) is the midpoint of AB. If A has coordinates (4, −5), what are the coordinates of B".

Let coordinates of B are (a,b).

Formula for midpoint:

$Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

Midpoint of A and B is

$Midpoint=(\dfrac{4+a}{2},\dfrac{-5+b}{2})$

It is given that M(−2, 10) is the midpoint of AB.

$(-2,10)=(\dfrac{4+a}{2},\dfrac{-5+b}{2})$

On comparing both sides we get

$-2=\dfrac{4+a}{2}$

Multiply both sides by 2.

$-4=4+a$

Subtract 4 from both sides.

$-8=a$

The value of a is 8.

Similarly,

$10=\dfrac{-5+b}{2}$

Multiply both sides by 2.

$20=-5+b$

Add 5 on both sides.

$25=b$

Therefore, the coordinates of B are (-8,25).

8 0

3 years ago

On a number line there are six spaces. On the first is the number 2, on the last space is the number 42, on the third space is x

trapecia [35]

1st space is 2
6th space (last) is 42
in betwen that is 5 spaces to go
find distance from 2 to 42
42-2=40

40=5 spaces
divide 5
8=1 space
each space goes upby 8

2=1st space
2+8=2nd space
2+8+8=3rd space=18=x

x=18

5 0

3 years ago

What is the length of the the midsegment of a trapezoid with<br> a<br> bases of length 18 and 28?

Gwar [14]

Answer:

Step-by-step explanation:

5 0

2 years ago

12. What's the simplified form of x − 1 + 4 + 7x − 3?

Leviafan [203]

The first one is B and the second is D

3 0

4 years ago

Read 2 more answers