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Gwar [14]
3 years ago
10

Substitute x with (-2) and y with (-4) Simplify: 5(41 - x) + {-7(y + x)} =

Mathematics
2 answers:
kozerog [31]3 years ago
6 0
<h2>Answer:</h2>

The value which is obtained on simplifying the expression is:

                        257

<h2>Step-by-step explanation:</h2>

We are asked to simplify the expression which is given in terms of two variables x and y as follows:

                5(41-x)+(-7(y+x))

Now, we have to simplify the expression for the values of x and y as follows:

        x=-2\ and\ y=-4

On putting these values in the given expression:

5(41-(-2))+(-7(-4-2))\\\\=5(41+2)+(-7\times -6)\\\\=5\times 43+42\\\\=215+42\\\\=257

Gnesinka [82]3 years ago
4 0

Answer:

257

Step-by-step explanation:

5(41-(-2))+{-7(-4-2)}

5(41+2)+{-7(-6)}

5(43)+(42)

215+42

257

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A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l
inn [45]
We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

6 0
4 years ago
Ben works for software company in Cleveland. To train new employees, Ben travels to their two other locations, Buffalo and Phila
Andru [333]

Answer:

Explanation:we will solve this question with help of linear programming.

Now,  let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y

And s.t.r. 2x+3y≤105, where x≥5, y≥15.

since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.

But, 0≥5 and 0≥15 are false, so their area will not cover the origin.

Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)

Z at A- 180×5+300×31.667=10,400.1

at B-180×5+300×15=1350( which is minimum.)

at C- 180×30+300×15=5,850

Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.




3 0
4 years ago
Identify the volume of the figure in cubic units.
Alekssandra [29.7K]

Answer:

8 cubic units

Step-by-step explanation:

Count it. It's all visible for this question.

6 0
3 years ago
Lisa purchased a hat for $10, a purse for $20, and a book for $23. The sales tax rate was 7.2 percent. What was the total amount
shusha [124]
10+ 20+ 23 = 53
53 x 0.072 = 3.816
53 + 3.82 =
$56.82
4 0
4 years ago
Read 2 more answers
Explain how you can use the graph of the quadratic function f(x) to solve the equation f(x)=0
Whitepunk [10]
F(x)=0
f(x)=y
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