MATHEMATICS MIDDLE SCHOOL

What is the solution set of the equation x^2-3x-4=6

Answers

Answer 1

Answer:

Answer:

x = 5, x = -2

Step-by-step explanation:

x² - 3x - 4 = 6

Subtract: x² - 3x - 10 = 0

Find two numbers to factor: adds up to -3x, product is -10x²: -5x and 2x

Substitute: x² - 5x + 2x - 10 = 0

Factor: (x - 5)(x + 2) = 0

Solutions: x = 5, x = -2

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Help help help help help

Answers

I’m only 70% positive about my answer, but I believe the answer is A) g(x) = |x+4| - 2.

If I’m correct, the numbers on the inside of the absolute marks are an indication of a horizontal shift of the function and you go the opposite direction of the sign. In this case, it’s a shift to the left (looking at the graph, 4) Then the outside number tells you how far you shift vertically (down 2, following the negative sign this time).

2z-18-4z=-8 what is the value of z

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$\bold{Hey\ there!} \n \bold{Simply\ both\ sides\ of\ your\ equation\downarrow} \n \bold{2z+(-4z)+(-18)=-8} \n \bold{Now, \ you \ have\ to \underline{Combine\ your\ like\ terms}\downarrow} \n \bold{\bullet \ 2z\ \& \ -4z}\n \n \bold{2z+(-4z)=-2z}\n \bold{-2z-18=-8}\n \bold{Nextly,\ you\ have\ to\ \underline{add}\ by\ 18\ on\ your\ sides\downarrow} \n \bold{-2z-18+18=-8+18} \n \bold{Cancel:-18+18} \n \bold{Keep:-8+18} \n \bold{\underline{Divide}\ by\ -2\ on\ your\ sides\downarrow}\n \bold{(-2z)/(-2)}$ $\bold{= (10)/(-2)} \n \bold{Cancel: (-2z)/(-2)} \n \bold{Keep:(10)/(-2)} \n \n \boxed{\boxed{\bold{Answer: z=-5}}}\checkmark \n \n \n \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}\n \n \frak{LoveYourselfFirst:)}$

Answer- z is equal to -5

Solve the equation sin^2 x=3 cos ^2 x

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Answer:

Step-by-step explanation:

Answer:

Explanation:

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$\bf \textit{Pythagorean Identities} \n\n sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \n\n[-0.35em] \rule{34em}{0.25pt}\n\n sin^2(x)=3cos^2(x)\implies sin^2(x)=3[1-sin^2(x)] \implies sin^2(x)=3-3sin^2(x) \n\n\n sin^2(x)+3sin^2(x)=3\implies 4sin^2(x)=3\implies sin^2(x)=\cfrac{3}{4}$

$\bf sin(x)=\pm\sqrt{\cfrac{3}{4}}\implies sin(x)=\pm\cfrac{√(3)}{√(4)}\implies sin(x)=\pm\cfrac{√(3)}{2} \n\n\n sin^(-1)[sin(x)]=sin^(-1)\left( \pm\cfrac{√(3)}{2} \right)\implies x= \begin{cases} (\pi )/(3)\n\n (2\pi )/(3)\n\n (4\pi )/(3)\n\n (5\pi )/(3) \end{cases}$

that is, on the interval [0, 2π].

Which of these pairs of numbers differ by 495 when they are squared? Choices:A.17 and 19 B:21 and 30 C.27 and 18 ,or D.23 and 32

Answers

23 and 32 are the pairs of numbers that differ by 495 when they are squared.

What is the use of squares in mathematics?

Considering that Square is a much faster way to write a number and multiply a number by itself.

Given, this problem needs to solve by the hit and trial method that means we have to solve for every option.

For option numbers A: 17 and 19

19² - 17² = 72

For option numbers B:21 and 30

30² - 21² = 459

For option numbers C:27 and 18

27² - 18² = 405

For option numbers D:23 and 32

32² - 23² = 495

Therefore, When two integers are squared, they differ by 495 in the pairings 23 and 32.

Learn more about squares here:

brainly.com/question/14198272

#SPJ2

The answer is B because 30^2 - 21^2 = 495

Which statements are true?Select each correct answer.

All squares are parallelograms.

No trapezoids are parallelograms.

All rectangles are squares.

All rectangles are quadrilaterals.

Answers

Answer:

All squares are parallelograms, and all rectangles are quadrilaterals are both true

Step-by-step explanation:

Answer:

The answer is a and d

a) All squares are parallelograms

d) All rectangles are quadrilaterals

hope i helped!

Ella's book collection contains 12 books, including 3 mysteries.If Ella randomly selects a book to read, what is the probability that it will be a mystery?

Answers

Answer:

3/12 so 25% probabilty

Step-by-step explanation:

Since there are only 3 mystery books, so the probability of Ella picking one is 3/12. Simplified, this would be 1/4, as a decimal, 0.25, and as a percent, 25%.

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