MATHEMATICS HIGH SCHOOL

What is f(5) for the function f(x)=-9x-10

Answers

Answer 1
Answer:

Step-by-step explanation:

In this form, x = 5.

so we'll substitute 5 in for x...

f(5) = -9(5) -10

f(5) = -45 -10

f(5) = -55

essentially saying, when x = 5, y = -55

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Determine the solutions to the following systems of the linear equations.

Answers

Answer:

1. (4,2)

2. No solution

3. (1,3)

How do you solve x+2/3=11//12

Answers

x+(2)/(3)=(11)/(12)\ \ \ /-(2)/(3)\n\nx=(11)/(12)-(2)/(3)\n\nx=(11)/(12)-(2\cdot4)/(3\cdot4)\n\nx=(11)/(12)-(8)/(12)\n\nx=(11-8)/(12)\n\nx=(3)/(12)\n\n\underline{\underline{x=(1)/(4)}}

Find an equation of the tangent line to the circle x^2 +y^2=24 at the point (-2 square root 5, 2).

Answers

Circle:\n(x-a)^2+(y-b)^2=r^2\n\nPoint:\nP(x_P;\ y_P)\n\ntangent\ line\ to\ the\ circle:\n\nk:(x_p-a)(x-a)+(y_p-b)(y-b)=r^2


Circle:\nx^2+y^2=24\n\ncenter\ of\ circle:S(0;\ 0)\n\nradius:r=√(24)\n\nPoint:P(-2\sqrt5;\ 2)

tangent\ line\ to\ the\ circle:\n\nk:(-2\sqrt5-0)(x-0)+(2-0)(y-0)=(√(24))^2\n\n-2\sqrt5x+2y=24\n\n2y=2\sqrt5x+24\ \ \ \ /:2\n\ny=\sqrt5x+12-answer

C) The determinant of 2 x 2 matrix A is 3. If you switch the rows and multiply the first row by 6 and the second row by 2, explain how to find determinant and provide the answer

Answers

Answer:

Step-by-step explanation:

A 2 × 2 matrix has 2 rows and 2 columns

Let us assume that matrix A is expressed as

a b

c d

The determinant of matrix A would be

(a × d) - (b × c)

Given that the determinant of matrix A is 3, it means that

ad + bc = 3

If we switch the rows, the first row becomes cd and the second row becomes ab. If we multiply the first row by 6 and the second row by 2, the matrix becomes

6c 6d

2a 2b

The determinant would be

(6c × 2b) - (2a × 6d)

Determinant = 12bc - 12ad

Rounak has 4 packs of 12 glitter pens. She has 7 packs of 8 scented pens. She gives her friend a pack of glitter pens in exchange for a new pack of scented pens. How many pens does Rounak have now?​

Answers

Answer: Rounak has 100 pens now.

What is the domain of the relation? {(−4.5, 0), (−3, 9), (0.9, 0), (4, −7.8), (4, 0), (17, 3)} {0.9, 4, 17}

{−7.8, 0, 3, 9}

{−4.5, −3, 0.9, 4, 17}

{−4.5, −3}

Answers

Answer:

Domain of the relation is Option (c) : {−4.5, −3, 0.9, 4, 17}

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