MATHEMATICS COLLEGE

Find the equation of a line through (1,1) whichisperpendicular to a line through (1,3) and (2,5).

Answers

Answer 1

Answer:

Answer:

$y=(-1)/(2)x+(3)/(2)$

Step-by-step explanation:

Point on a line is (1,3) and (2,5).

$slope=(y_2-y_1)/(x_2-x_1) =(5-3)/(2-1) =2$

slope of given line is 2

slope of perpendicular lines are negative reciprocal of one another

slope of perpendicular line is -1/2

slope = -1/2 (1,1)

$y-y_1=m(x-x_1)$

$y-1=(-1)/(2)(x-1)$

$y-1=(-1)/(2)x+(1)/(2))$

add 1 on both sides

$y=(-1)/(2)x+(3)/(2)$

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Make m the subject when g=square root sign over m-5

Answers

Answer:

m = g² + 5

Step-by-step explanation:

Step 1: Write equation

g = √(m - 5)

Step 2: Solve for m

Square both sides: g² = m - 5
Add 5 to both sides: g² + 5 = m
Rewrite: m = g² + 5

Jayden’s new puppy weighed 11 1/4 pounds at 4 weeks old. At 16 weeks old, the puppy weighed 1 2/3 times more.How much did Jayden’s puppy weigh at 16 weeks old?

Answers

Answer:

18.75 or 18 3/4 lbs

Step-by-step explanation:

We just have to multiply 11 1/4 and 1 2/3 to get the product, 18.75 or 18 3/4.

First we have to translate our fractions into decimals:

11.25 (11 1/4) and 1.166667 (1 2/3)

multiply:

11.25 x 1.166667 = 18.75

convert back to fraction:

18 3/4

Hope This helps! Good Luck! If you have any questions please ask me, I would me more than happy to help you understand this method. If you are doing it a different way, I can help with that too.

There are 67 questions on an exam. If you miss 8 of these questions your grade is _______ %.

Answers

If you miss 8 out of 67 questions on the exam, your grade percentage would be approximately 88.06%.

Given that there are 67 questions on an exam. If you miss 8 of these questions then Subtract the number of questions missed (8) from the total number of questions (67):

Number of questions answered correctly = Total questions - Questions missed

= 67 - 8

= 59

Now, Grade percentage = (Number of questions answered correctly / Total questions) * 100

= (59 / 67) * 100

≈ 88.06% (rounded to two decimal places)

Therefore, if you miss 8 out of 67 questions on the exam, your grade percentage would be approximately 88.06%.

Learn more about percent here:

brainly.com/question/11549320

#SPJ12

If m = 1/2, n= 1/4 , then m²+ n²

Answers

In fraction 5/16

In decimal 0.3125

PLEASE HELP IF YOU KNOW THIS!!!!!

Answers

Answer:

7cm

Step-by-step explanation:

3cmx3cm=9cm

9cmx3.14=28.26

28.26/197.9=7 (plus a bunch of decimals!)

So 7cm is your height

Answer:

7.50 is the answer so either 7 or 8

Step-by-step explanation:

h= (A/2piR) -r

Plug in the area and the radius and you got the answer. Use 3.14 as pi

A truck can be rented from Company A for $130 a day plus $0.50 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. How many milesmust be driven in a day to make the rental cost for Company A a better deal than Company B's?
For Company A to have a better deal, the truck must be driven more than miles per day