5x + 2y = 7 10x + 4y = 14

Answers

Answer 1
Answer: look at them 5x+2y=7
10x+4y=14

divide second euqtion by 2
5x+2y=7
5x+2y=7
they are same

the solution is any oint on the line 5x+2y=7
some points are
(1,1)
(0,3.5)
(1.4,0)
etc
infinitely many
Answer 2
Answer: x and y on the left and right both equal 1

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30 POINTS!!!The Pythagorean theorem is used to prove that a triangle is an _____ triangle.

A. Right
B. Isosceles
C. Equilateral
D. Acute

Answers

Answer:

Step-by-step explanation:

A. Right Triangle

Two lines are parallel. The equation for the first line is y=-3x+5. Which of the following can't be the equation of the second line?A. y=-3x+2
B. x-3y=-3
C. 3x+y=-6
D. 6x+2y=2 Two lines are parallel. The equation for the first line is y=-3x+5. Which of the following can't be the equation of the second line?
A. y=-3x+2
B. x-3y=-3
C. 3x+y=-6
D. 6x+2y=2 @Mathematics

Answers

A common form of a line equation is:
y=mx + b , where m is the slope. If two lines are parallel they have equal slopes. So first step is to transform these equations to common form:
A) y=-3x+2
B) x-3y =-3
    -3 y =- x-3  /  :(-3)
     y = 1/3 x +1,        1/3 ≠ -3
C) 3x + y = -6
     y = -3x - 6
D) 6x + 2 y = 2
     2y= - 6x+2    /:2
     y = -3x +1 
Answer:B) 
so we know that y = -3x +5 

choice A. y=-3x+2 is right so can being the equation of second line 

choice B. x-3y =-3
-3y = -3-x

3y = 3+x

y = 3/3 +x/3

y = 1 + x/3  so this equation not can being the equation of second line sure 

Brian invests £600 into his bank account. He receives 3.2% per year compound interest. How much will Brian have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = £600

r = 3.2% = 3.2/100 = 0.32

n = 1 because it was compounded once in a year.

t = 6 years

Therefore,.

A = 600(1 + 0.032/1)^1 × 6

A = 600(1.032)^6

A = £724.82

Explain how to solve 3x+4=19

Answers

Answer:

X = 5

Step-by-step explanation:

3x + 4 = 19

    -4.      -4

3x = 15

divide both sides by 3 to solve for x

x = 5

Can you guys please help me!!

Answers

32 it’s as simple as 4(5) + 12

Answer:

a. 32

b. 32

Step-by-step explanation:

a. 12 + 4y

They gave us the value of "y" which is "5", and substitute that into the expression.

12 + 4y

12 + 4(5)

12 + 20

32

b. 4 (y + 3)

They gave us the value of "y" which is "5", and substitute that into the expression.

4 ( y + 3 )

4 ( 5 + 3)

Distributive property (multiply what is in the parenthesis by what is out of it (4))

4 * 5 + 4 * 3

20 + 12

32

Hope this helped!

Have a supercalifragilisticexpialidocious day!

What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?

Answers

Answer:

x = 37

Step-by-step explanation:

Lets take  12 as base (b) and 35 as perpendicular (p)

The hypotenuse (h) = x = ?

We know by using Pythagoras theorem

h^(2) =p^(2) +b^(2)

h^(2) =35^(2) +12 ^(2)

h^(2) = 1225 + 144\nh^(2)= 1369

h =√(1369)

Therefore h = 37

Hope it was helpful:)