MATHEMATICS COLLEGE

Solve each system by substitution
2x-5y=22
y=4x+22

Answers

Answer 1

Answer:

Answer:

Point Form (graph) : ( − 22/ 3 , − 22/ 3 )

Equation Form: x = − 22/ 3 , y = − 22/ 3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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Which values from the specified set make up the solution set of the inequality?4n<16 ; {1,2,3,4}

Select ALL OF THE correct answers.

A. 1

B. 2

C. 3

D. 4

Answers

You may solve this problem in two ways:

If you solve the inequality explicitly (divide both sides by 4), you get

$(4n)/(4) < (16)/(4) \iff n < 4$

So, if $n$ has to be stricktly less than 4, you can only choose 1, 2 and 3 as answers.

Alternatively, you can plug in all of the values you're proposed and check if the inequality holds:

If $n=1$ , you have $4<16$ , which is true.

If $n=2$ , you have $8<16$ , which is true.

If $n=3$ , you have $12<16$ , which is true.

If $n=4$ , you have $16<16$ , which is false.

So, again, only 1, 2 and 3 are solutions.

Please help me asap

Answers

Answer:

1.4/5+8/9

2.17/18-3/7

Step-by-step explanation:4/5+8/9 so you want the bottem two to be the same right so your ganna multapliy the 5 times 9 and 9 times 5 the 4 times 9 and 8 times 5 then you will have

36/45 and then40/45 then ad them and you will have about 2

2.is about 1 or about 0 i say about 1

Verify the identity Cotx/tanx+cotx = 1-sin^2x

Answers

$\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \n\n\n tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)} \qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\n\n -------------------------------\n\n \cfrac{cot(x)}{tan(x)+cot(x)}=1-sin^2(x) \n\n\n \textit{doing the left-side}\implies \cfrac{(cos(x))/(sin(x))}{(sin(x))/(cos(x))+(cos(x))/(sin(x))}\implies \cfrac{(cos(x))/(sin(x))}{(sin^2(x)+cos^2(x))/(cos(x)sin(x))}$

$\bf \cfrac{(cos(x))/(sin(x))}{(1)/(cos(x)sin(x))}\implies \cfrac{cos(x)}{\underline{sin(x)}}\cdot \cfrac{cos(x)\underline{sin(x)}}{1}\implies cos^2(x)\implies 1-sin^2(x)$

Is 600% of 5 less than 10, greater than 10 but less than 100, or greater than 100?

Answers

Answer:

it is greater than ten and less than 100, the answer is 30%

Step-by-step explanation:

600*5=3000

3000/100=30%

What is the measure of angle DEG on circle O? Please help! 50 points!

Answers

Answer:

50 degrees

Step-by-step explanation:

Which expression represents the perimeter of thetrapezoid?
5x
2x - 1
2x + 3
6x +4
11x + 4
O 4x + 2
15x + 6
13x + 8

Answers

Final answer:

The correct option is c.

The total length, or perimeter, of the trapezoid is calculated by adding the lengths of its sides. Once we add and simplify the like terms, we find that the expression representing the perimeter of the trapezoid is 15x + 6.

Explanation:

The perimeter of a shape is calculated by adding up the lengths of all its sides. In the case of a trapezoid with sides of length: 5x, 2x - 1, 2x + 3, 6x + 4, the total length, or the perimeter, would be the sum of these four sides.

To calculate the perimeter, we simply add the lengths of the sides: 5x + (2x - 1) + (2x + 3) + (6x + 4).

When we simplify this, we first combine like terms, which are the x's and the constants. Combining the x terms 5x, 2x, 2x, and 6x gives us 15x. Next, we combine the constants -1, 3, and 4 which gives us + 6. Therefore, the expression representing the perimeter of the trapezoid is 15x + 6, that is answer option c.