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Tanya [424]
3 years ago
10

HELP FAST !!!

Mathematics
2 answers:
leonid [27]3 years ago
7 0

Answer:

(x, y) = (9, 10)

Step-by-step explanation:

-8x + 7y = -2...... (1)

- 8x + 8y = 8......(2)

Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:

-64x + 56y = - 16...(3)

-56x + 56y = 56.....(4)

Subtracting equation (4) from equation (3), we find:

-64x + 56y = - 16

-56x + 56y = 56

+ - -

_____________

- 8x = - 72

x = - 72/-8

x = 9

Substituting x = 9 in equation (1), we find:

-8(9) +7y = - 2

-72 +7y = - 2

7y = 72 - 2

7y = 70

y = 70/7

y = 10

(x, y) = (9, 10)

sertanlavr [38]3 years ago
3 0

-56x + 49y= -14

- 56x + 56y=64

105y=50

y=0.48

-8x+7(0.48)=-2

-8x+3.36=-2

-8x=-5.36

x=0.67

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The area of a rectangular field is 6840 m2. If the width of the field is 72m , what is its length?
IgorLugansk [536]

Answer:

I believe that the answer is 95 meters.

Explanation:

Okay, so to solve this question, you must know the formula to solve for the area of a rectangle/square.

<em>Area of a rectangle/square - </em><em>l x w</em>

<em />

In this question, you can see the the width (72 m) and the area (6840 m²) is already given. What you can do in this situation is to use the opposite operator (division) to solve for the length of the rectangular field.

<em>6840 ÷ 72 = </em><em>95</em>

You can always double check to see if the number is correct.

<em>A = l x w</em>

<em>= 72 m x 95 m</em>

<em>= </em><em>6840 m</em>²

Really hope this helped. :)

6 0
3 years ago
Abigail tosses a coin off a bridge into the stream below. The distance, in feet, the coin above the water is modeled by the equa
melomori [17]

Answer:

7 seconds

Step-by-step explanation:

Distance of the coin above the water is modeled by the equation

y=-16x^2+96x+112

where x is time taken to cover the distance

Now equating with zero.

0=-16x^2+96x+112\\\Rightarrow 16x^2-96x-112=0\\\Rightarrow x=\dfrac{-\left(-96\right)\pm \sqrt{\left(-96\right)^2-4\times \:16\left(-112\right)}}{2\times \:16}\\\Rightarrow x=7, -1

So, time taken by the coin to hit the water is 7 seconds.

6 0
3 years ago
What is the unit rate of 2.5 miles in 11.5 minutes
malfutka [58]
4.6 miles a minute
You just divide the too
3 0
3 years ago
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Beginning with a regular hexagon, a 6-pointed star is formed by constructing equilateral triangles, whose sides are the same len
galina1969 [7]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Solving exponential equations with a common base problem in the picture!
Genrish500 [490]

<u>Given</u>:

The given expression is 18^{x^{2}+4 x+4}=18^{9 x+18}

We need to determine the solution of the given expression.

<u>Solution</u>:

Let us solve the exponential equations with common base.

Applying the rule, if a^{f(x)}=a^{g(x)} then f(x)=g(x)

Thus, we have;

x^{2}+4 x+4=9 x+18

Subtracting both sides of the equation by 9x, we get;

x^{2}-5 x+4=18

Subtracting both sides of the equation by 18, we have;

x^{2}-5 x-14=0

Factoring the equation, we get;

x^2-7x+2x-14=0

Grouping the terms, we have;

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Factoring out the common term (x - 7), we get;

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Thus, the solution of the exponential equations is x = -2 and x = 7.

Hence, Option C is the correct answer.

7 0
4 years ago
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