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3 years ago

Of your 32 classmates, 1/3

Mathematics

1 answer:

ozzi3 years ago

7 0

Answer:

C.1/2

Step-by-step explanation:

1/3 have siblings and 1/2 of those are girls

1/2 of the siblings are girls

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Find the value of X, Z and Y.

FromTheMoon [43]

Answer:

x = 5; y = 138, z= 42

Step-by-step explanation:

4x- 17 = 3 [ opposite sides of a parallelogram are equal]

4x = 3+ 17 = 20; X= 20/4 = 5

138 + Z = 180( angle on a straight line)

Z is an alternate angles to the remaining angle off 138 forming the straight line.

z= 180-138 = 42 degrees

Y = 138 [ opposite angles of a regular quadilareral been equal]

6 0

3 years ago

alisha [4.7K]

Answer:

$d=3\sqrt{2}\ units$

Step-by-step explanation:

The complete question is

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{9-5}{7-3}$

$m=\frac{4}{4}=1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\point\ (3,5)$

substitute

$y-5=(1)(x-3)$

isolate the variable y

$y=x-3+5$

$y=x+2$ -----> equation A

step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

$y-10=-(x-2)$

isolate the variable y

$y=-x+2+10$

$y=-x+12$ ----> equation B

step 3

Find the intersection point equation A and equation B

$y=x+2$ -----> equation A

$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

6 0

3 years ago

I need help please. i dont understand and please explain

ki77a [65]

Answer:

c 82

Step-by-step explanation:

because I smart person

5 0

3 years ago

Joseph is weaving a ceremonial Native American sash the sauce will be 8 feet long when it is completed Joseph wants to add a dia

Rama09 [41]

Answer: The sash will have 20 diamonds when it is completed.

Step-by-step explanation:

Given: The length of American sash= 8 feet

Since, Joseph wants to add a diamond shape every 0.4 ft along the sash.

Therefore, the number of diamonds he will need to complete the sash= $\frac{8}{0.4}$

⇒ The number of diamonds he will need to complete the sash= $\frac{80}{4}=20$

Hence, the number of diamonds he will need to complete the sash= 20

3 0

3 years ago

How to solve exponents with and equation

viva [34]

Exponents are hard but think about it like addition, that number tells you how many times to add that number to itself. To write the equation put the number and then the exponent on the top right of that number. Your welcome!

3 0

3 years ago