At what point (x,y) do the two lines with equations x-2y=5 and 3x-5y=8 intersect?

Answers

Answer 1
Answer: \begin{cases} x-2y=5 \ \ /*(-3)\n 3x-5y=8 \end{cases}\n \n\begin{cases} -3x+6y=-15 \n 3x-5y=8 \end{cases}\n + \ -------\n y=-7\n \nx-2y=5 \n \nx-2*(-7)=5 \n \nx+14=5 \ \ |-14\n \nx=5-14 \n \nx=-9 \n \n \begin{cases}x=-9 \n y=-7 \end{cases} \n \n \nAnswer: \ \ this \ is \ the \ point : \ \ (-9,-7)

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Bob Ross has a charge card. Ross's previous monthly balance if $167.42. He made a payment of $159.15. There is no finance charge. This month Ross has no new purchases. What is the new balance?

Answers

Answer:

According to your question, the new balance is $8.27

Step-by-step explanation:

$167.42 - $159.15 = $8.27

Choose the best description of the roots of the equation. 4 x^2 - 3 x + 7 = 0 imaginary roots
real and rational roots
double root
real and irrational roots

Answers

imaginary roots

hope this helps :)

Answer:

imaginary roots

Step-by-step explanation:

just got the question right.

An athlete eats 75g of protein per day while training. How much protein will she eat during 23 days of training? Write your answer in kilograms.

Answers

K ⇒ Kilograms
  H 
    D
      B ⇒ grams
        D
          C
            M
75 ×23= 1725
distance between Kilo. and grams is 3 jumps
so you jump the decimal 3 jumps to the left
Answer: 1.725 Kilograms of protein 
You multiply 75 by 23 to get 1725 and since a kilogram has 1000 grams in it, the athlete eats 1.725 kg of protein.

Use your knowledge of similar triangles to solve for x

Answers

9514 1404 393

Answer:

  x = 10 2/3

Step-by-step explanation:

The ratios of corresponding sides are the same, so we have ...

  x/8 = 8/6

  x = 8·(8/6) = 64/6

  x = 10 2/3

Which property of addition is shown below? a + bi + c + di = a + c + bi + di

Answers

I think the property of this addition problem is  commutative property  

Evaluate 6-7+3(-11+5)^2-5

Answers

The answer should be 432.
I can explain if you want
6-7=-1
-11+5=-6
(-6)^2
36
36.3=108
Okay now we combine to all
-1+108-5=102