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andriy [413]
3 years ago
10

What is the solution to the system of equations?

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0

Answer:

(x, y) = (-3, -6)

Step-by-step explanation:

The second equation can be used to write an expression for y:

... -5x -21 = y . . . . . . . add y-21 to both sides

This expression can be substituted for y in the first equation:

... 6 = -4x +(-5x -21)

... 27 = -9x . . . . . add 21, collect terms

... -3 = x . . . . . . . divide by -9

Using this value of x in the expression for y, we find ...

... -5(-3) -21 = y = -6

The solution is x = -3, y = -6.

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Francisco spent 25 minutes on the internet yesterday is this is 5/6 of the time she spent on the computer how long did she spend
m_a_m_a [10]
30 minutes. the easiest way is to use the opposite of the fraction.  divide 25 / 5= 5. now multiply by 6. 5*6= 30.
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3 years ago
Find the value of x. Express your answer in simplest radical form
klemol [59]
Since x=x, this is an isosceles right triangle.  By the Pythagorean Theorem:

h^2=a^2+b^2  (the hypotenuse squared is equal to the sum of the squared sides)

5^2=x^2+x^2

25=2x^2

2x^2=25

x^2=25/2

x=√(25/2)

x=5/√2  now if we rationalize the denominator...

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3 years ago
A lawn sprinkler sprays water 4 feet in all direction as it rotates.
Ber [7]

Answer:

50.24 ft^2

Step-by-step explanation:

The radius of the circle in which the lawn sprinkler sprays water is 4 feet.

The formula to find the area of a circle is \pi r^2, where r = radius and π, in this case, is 3.14.

  • 3.14 × 4^2
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Therefore, the answer is 50.24 ft².

5 0
2 years ago
What is the slope in the table below
eduard

Answer:

<h2>The table does not show a linear function</h2>

Step-by-step explanation:

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we have:}\\\\(5,\ 24),\ (10,\ 21),\ (15,\ 17),\ (20,\ 13)\\\\\text{Check}\\\\\dfrac{21-24}{10-5}=\dfrac{-3}{5}=-\dfrac{3}{5}\\\\\dfrac{17-21}{15-10}=\dfrac{-4}{5}=-\dfrac{4}{5}\\\\-\dfrac{3}{5}\neq-\dfrac{4}{5}

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3 years ago
Please help me with this please and thank you
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Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

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(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

so, the fitting equation is

y = 2x² + 1

3 0
2 years ago
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