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3 years ago

Solve using any method. −2x+y=−3 x+y=3 ( 5, 2) ( 1, 2) ( 2, 5) ( 2, 1)

Mathematics

1 answer:

nignag [31]3 years ago

5 0

Answer:

Therefore the solution set is (x , y) = ( 2 , 1 )

Step-by-step explanation:

Given:

$-2x+y=-3$ ...............Equation ( 1 )

$x+y=3\\$ ...............Equation ( 2 )

$\therefore y=3-x$ ...............Equation ( 3 )

To Find:

x = ?

y = ?

Solution:

Using Substitution Method we will have

Substitute above ' y ' Equation 3 in Equation 1 we get

$-2x+(3-x)=-3\\-2x-x=-3-3\\-3x=-6\\3x=6\\x=\dfrac{6}{3}=2\\\\x=2$

Now Substitute ' x ' in Equation 3 we get

$y=3-2=1\\y=1$

Therefore the solution set is (x , y) = ( 2 , 1 )

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I'm am very confused with this question.

stich3 [128]

Answer:

103°

Step-by-step explanation:

This is a cyclic quadrilateral (all vertices on the same circle)

Opposite angles are supplementary:

∠A + ∠C = 180°
∠B + ∠D = 180°

Find x:

x + 5 + x - 7 = 180°
2x - 2 = 180°
2x = 182°
x = 91°

Find D:

∠D = x - 14°
∠D = 91° - 14° = 77°

Find B:

∠B = 180° - 77° = 103°

6 0

3 years ago

Given the function <img src="https://tex.z-dn.net/?f=g%28x%29%3Dm%28-2x%2B2%29%5E5-n" id="TexFormula1" title="g(x)=m(-2x+2)^5-n"

Alekssandra [29.7K]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

The given function g(x) is a continuous function, since, for any x we can find a real value of the function.

A. $\frac{d g(x)}{dx} = 5m(-2x + 2)^{4} \times (-2)$ .

Since, m is a constant, which is not equals to 0, the above value of the differentiation of the function, will be negative.

For x = 1, the above value is 0, that is at x = 1, the function has either maximum value, or a minimum value.

B. As per the above information, we have get that for x = 1, $\frac{d g(x)}{dx} = 0$ .

Hence, the function's critical point's x coordinate is x = 1.

The x- coordinate of the given point is not dependent on m or n.

Hence, proved.

4 0

3 years ago

Write Equivalent Fractions

Viktor [21]

Answer:

Step-by-step explanation:

Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:

Fraction - like 2/3 or 15/16

Mixed number - like 1 1/2 or 4 5/6

Integer - like 5 or 28

What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100

How to Find Equivalent Fractions

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction.

Example Equivalent Fractions

Find fractions equivalent to 3/4 by multiplying the numerator and denominator by the same whole number:

34×22=68

34×33=912

34×44=1216

34×55=1520

34×66=1824

Therefore these are all equivalent fractions:

34=68=912=1520=1824

Note that if you reduce all of these fractions to lowest terms, they equal 3/4.

For additional fraction help see our Fractions Cal

3 0

3 years ago

I NEED HELP ASAP PLEASE!!!!

givi [52]

Answer:

Hello!

An irrational number is all the real numbers which are not rational numbers.

M = $\sqrt{2$ is a irrational number.

N = $\sqrt{5}$ is a irrational number.

S = 2 is not irrational, and is actually a whole number.

T = 5 is not irrational, and is actually a whole number.

Have a great day!

I hope this helps! <33

4 0

3 years ago

What is the area of the trapezoid shown below? 2 15 12 help fast please!!!

Ugo [173]

Answer:

78 units2

Step-by-step explanation:

The Area of the triangle is 54 units2

The rectangle on the side has an area of 24 units2.

Add them together, and you get 78.

I hope this helps!

pls ❤ and give brainliest pls

7 0

3 years ago