MATHEMATICS MIDDLE SCHOOL

Why is the answer to this C and not E. Don’t you usually keep the negative number negative? Why is this one not left negative?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given

x² = 7x - 3 ( subtract 7x - 3 from both sides )

x² - 7x + 3 = 0 ← in standard form

with a = 1, b = - 7, c = 3

Using the quadratic formula to solve for x

x = ( - (- 7) ± $√((-7)^2-(4(1)(3))$ ) / 2

= ( 7 ± $√(49-12)$ ) / 2

= $(7+/-√(37) )/(2)$ → C

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Evaluate 3|-3|
if you could do it step by step I’d appreciate

Answers

Answer:

Step-by-step explanation:

the absolute value of -3 is 3

so; 3*|-3| =3*3 =9

What is half of a number z

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Answer:

$(1)/(2) z$

Step-by-step explanation:

Scientific notation of 0.000059

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In order to write number 0.000059 in scientific notation we need to move the decimal point from its current location (black dot) to the new position (red dot).

0.00005.9

So, we need to move decimal point 5 places to the left.
This means that the power of 10 will be negative 5.

Now we have that the

Number part = 5.9 and

Exponent part = -5

So, the solution is:

5.9⋅10−5

Area 9 perimeter 20 what is the length and width

Answers

Answer:4.5 x 2

Step-by-step explanation:

4.5 x 2 = 9

Hope it helps

spherical water storage tank has a radius of 10 ft. a cubic foot of water is about 7.5 gallons. How many gallons of water will the tank hold?

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Volume of a sphere = (4/3) π (radius)³

Volume of this tank = (4/3) π (10-ft)³ cubic feet

At 7.5 gallons per cubic foot, that's 31,416 gallons .

Find the solutions to the equation by compelting the square x^2-6x=7

Answers

Answer:

The solution set is {-1, 7}

Step-by-step explanation:

Rewrite x^2-6x=7 as x^2 - 6x = 7.

Identify the coefficient of the x term; it is -6.

Halve this coeff (obtaining -3)

Square this result (obtaining 9)

Add 9 to x^2 - 6x and then subtract 9 from the result: x^2 - 6x + 9 - 9

Then we have:

x^2 - 6x + 9 - 9 = 7. Add 9 to both sides, obtaining

x^2 - 6x + 9 = 16

Rewrite x^2 - 6x + 9 as the square of a binomial: (x - 3)^2

Then we have

(x - 3)^2 = 16

Taking the square root of both sides, we get

x - 3 = ±4, so that: x = 3 + 4 = 7, and x = 3 - 4 = -1.

The solution set is {-1, 7}.

Answer:

To complete the square x^2-6x=7

We take the coefficient of X which is -6

divide it by 2 -3

square that number 9

then add it to both sides of the equation.

x^2 -6x + 9 = 16

(x -3) * (x -3) = 16

We take the square root of both sides:

a) x-3 = 4

b) x-3 = -4

Therefore, x = 7 and x = -1

Step-by-step explanation: