MATHEMATICS HIGH SCHOOL

What is an equation in point-slope form of the line that passes through (-7,1) and (-3, 9)

Answers

Answer 1

Answer:

Step-by-step explanation:

let eqn be y - y1 = m(x - x1)

m = (9 - 1)/(-3 - (-7))

m = 2

sub (-7, 1):

y - 1 = 2(x + 7)

therefore, the equation is y - 1 = 2(x + 7)

Topic: coordinate geometry

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Answer 2

Answer: Answer:
y=2x+15

Solution:
Refer to the diagram

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Instructions: Find the measurement of the angle indicated in the following parallelogram.

Answers

It’s the measurement.it’s true because u can tell it is

The sum of 3 consecutive integers is 90. find the largest integer if x is the smallest integer

Answers

Well, you get x+(x+1)+(x+2)=90 or 3x+3=90, 3x=87 or x=29. x+2=31, the largest one.

Answer:

The largest integer is x+2, or 31.

Is negative 5 a rational number

Answers

its a rational number but also a integer and could never be a whole number because its a negative and whole numbers are always positive

What is 2 radical 15 squared

Answers

$2√(15^2)=2\cdot15=30\n\n\n2√(15^2)=2\cdot\left(15^2\right)^(1)/(2)=2\cdot15^{2\cdot(1)/(2)}=2\cdot15=30$

$\left(2√(15)\right)^2=2^2\cdot\left(√(15)\right)^2=4\cdot15=60\n\n\left(2√(15)\right)^2=2^2\cdot\left(√(15)\right)^2=4\cdot\left(15^(1)/(2)\right)^2=4\cdot15^{(1)/(2)\cdot2}=4\cdot15^1=4\cdot15=60$

Mr Solidarios charged Randolf Php 320.00 for parts and Php 150.00 per hour for labor to repair his bicycle.If he spent 3 hours repairing his bicycle,how much does Randolf owe him?

Answers

Answer:

Php 770.00

Step-by-step explanation:

The cost of labor is ...

(hours) × (hourly rate)

= (3 h) × (Php 150.00/h) = Php 450.00

The total cost is ...

total cost = cost of labor + cost of parts

= (Php 450.00) + (Php 320.00) = Php 770.00

Randolf owes Mr. Solidarios Php 770.00 for the repair.

4x^2-28x+49=5 solve the quadratic by completing the square

Answers

$4x^2-28x+49=5 \n \n4x^2-28x+49-5=0\n \n4x^2-28x+44=0\n \n \Delta = b^(2)-4ac =(-28)^(2)-4*4*44=784 - 704 = 80 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(28- √(80))/(2*4)=(-28-√(16*5))/(8)= (-28-4√( 5))/(8)=\n \n=(\not4^1(-7- √( 5)))/(\not8^2)=( -7- √( 5) )/(2)=$

$x_(2)=(-b+√(\Delta ))/(2a) =(28+√(80))/(2*4)=(-28+√(16*5))/(8)= (-28+4√( 5))/(8)=\n \n=(\not4^1(-7+ √( 5)))/(\not8^2)=( -7+ √( 5) )/(2) \n \nAnswer : x=( -7- √( 5) )/(2) \ \ or \ \ x =( -7+ √( 5) )/(2)$

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