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lozanna [386]
2 years ago
15

If 2x – 10y = -1 and 5x + 6y = 4 are true equations, what would be the value of 7x - 4y?

Mathematics
1 answer:
Zigmanuir [339]2 years ago
8 0

Answer:

Step-by-step explanation:

If the equations are true, they can be solved simultaneously.

Consider 2x-10y=-1 as Eq1 and 5x+6y=4 as Eq2

Multiplying Eq1 with 3 and Eq2 with 5 we get,

6x-30y=-3 -- Eq3 and 25x+30y=20 -- Eq4

Adding Eq3 and Eq4,

31x=17 Therefore, x=17/31

Plugin x=17/31 in Eq3,

6(17/31)-30y=-3 --- y=13/62

Plug In values of x and y in 7x-4y we get,

7(17/31)-4(13/62) = 3

So the value of 7x-4y = 3.

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Given the center and radius of a circle, write the equation of the circle.
Mashutka [201]

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Pre-Calc</u>

Circle Center Formula: (x - h)² + (y - k)² = r²

  • <em>(h, k)</em> is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>(h, k)</em> = (-2, 1)

<em>r</em> = 5

<u>Step 2: Find Equation</u>

  1. Substitute in variables [Circle Center Formula]:                                             (x - -2)² + (y - 1)² = 5²
  2. Simplify:                                                                                                             (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

5 0
3 years ago
It's due in 5 hours help
adell [148]

Answer:

Step-by-step explanation:

Things to remember:

1). When we divide a number having decimal by 10, 100, 1000 or any number multiple of ten, decimal point of the numerator shifts left by the number of zeros present in denominator.

Example:    \frac{2.0}{100}=0.02

2). When we multiply a decimal number by 10, 100, or any number number multiple of 10, decimal point of the original number shifts right by number of zeros present in multiplier.

Example:   2.0 × 100 = 200

In this question, 0.014 × 100000 = 1400.000

Therefore, product of 0.014 and 100000 is 1400 because the decimal point in 0.014 moves 5 places to the right.

8 0
2 years ago
Dgzsjkdghfguhsugysurgyru
777dan777 [17]

Answer:

Step-by-step explanation:

Hi there,

I'm not exactly sure what you are trying to ask here. Do you need help with arithmetic?

Feel free to reach out for help.

Cheers.

7 0
3 years ago
Read 2 more answers
Can u answer #19. I really need help. And PLEASE SHOW UR WORK!!!!!!!!!!!!
hoa [83]
P = m + n / -5 
-5p = m + n ( because -5 was dividing with m + n so on an other side it will multiply )
-5p - m = n
7 0
3 years ago
Read 2 more answers
What is the domain of the graph ?
marysya [2.9K]
The domain of the graph is all real numbers because the value doesn’t have an end point.
3 0
3 years ago
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