MATHEMATICS HIGH SCHOOL

Select the best answer 7 x (-3) x (-2)^2=

Answers

Answer 1
Answer:

Hi

7(-3)(-2)²

-21(-2)²

-21(4)

 = -84


I hope that's help !

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Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: Pentagon ABCDE and pentagon A prime B prime C prime D prime E prime on the coordinate plane with ordered pairs at A negative 4, negative 2, at B negative 6, negative 3, at C negative 5, negative 6, at D negative 2, negative 5, at E negative 2, negative 3, at A prime 3, 1, at B prime 1, 2, at C prime 2, 5, at D prime 5, 4, at E prime 5, 2 Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'? Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the x-axis Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the y-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the y-axis

Answers

Answer:

Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis

Step-by-step explanation:

We are given Pentagon ABCDE.

with vertices as:

A (-4,-2) , at B(-6,-3) at C (-5,-6), at D (-2,-5) at E (-2,-3)

and the pentagon A'B'C'D'E' with vertices as:

A'(3,1) , B'(1,2) , C'(2,5) , D'(5,4) and E'(5,2).

Clearly we could observe that the image is formed by the translation and reflection of the pentagon ABCDE.

First the Pentagon is translated by the rule:

(x,y) → (x+7,y+1) so that the pentagon is shifted to the fourth coordinate  and then it is reflected across the x-axis to get the transformed figure in the first coordinate plane as Pentagon A'B'C'D'E'.

Hence, the answer is:

Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis

The first choice is the correct answer.

To move from the lower left shape to the upper right shape, you first have to move 7 units to the right and then up 1 unit. (x + 7, y + 1).

Then, you have to flip it over the x-axis to get it up in the first quadrant.

The difference of two numbers is 11 and their product is 42.find these numbers.

Answers

\left\{\begin{array}{ccc}x-y=11&\to x=y+11\nx\cdot y=42\end{array}\right\n\n(y+11)y=42\ny^2+11y-42=0\ny^2+14y-3y-42=0\ny(y+14)-3(y+14)=0\n(y+14)(y-3)=0\iff y=-14\ \vee\ y=3\n\nx=-14+11=-3\ \vee\ x=3+11=14\n\nAnswer:-3\ and\ -14\ or\ 14\ and\ 3
a-b=11\n a=11+b \n ab=42 \n(11+b)*b=42 \n b^2+11b=42 \n b^2+11b-42=0 \n b^2 +14b-3b -42=0 \n b(b+14)-3(b+14)=0 \n (b+14)(b-3)=0 \n b+14=0 \ b-3=0 \nb= -14 \ b=3 a=11+b \n 1)a=11-14 \na=-3 \n 2)a=11+3 \n a=14

14 ounces of olive oil for $3.59

Answers

25. 6 cents for each ounce

What is the numerical coefficient of '-3z'?

Answers

Answer: -3

Step-by-step explanation:

Which of the following lines the parallel to the line y-9=7(x+5)A.) y-9=3x+4
B.) y=-9x-5
C.) y+5=7(x-9)
D.) y-9=5(x+4)

Answers

Answer:

C.) y + 5 = 7(x - 9)

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

The point-slope form of an equation of a line:

y - y₁ = m(x - x₁)

(x₁, y₁) - point on a line

m - slope

We have the line y - 9 = 7(x + 5). The slope m = 7.

A) y - 9 = 3x + 4 → m = 3

B) y = -9x - 5 → m = -9

C) y + 5 = 7(x - 9) → m = 7

D) y - 9 = 5(x + 4) → m = 5

The line C) y + 5 = 7(x - 9) has the same slope.

Why do both ways of writing the numbers as ten and ones describe the same number?

Answers


its just the form of counting and not necessarily the different number

Final answer:

Both ways of writing numbers as tens and ones describe the same number because our counting system is based on powers of ten. This means that each place in our numbering system is ten times greater than the place to its right. Scientific and exponential notations simplify arithmetic, making it easier to multiply and divide large and small numbers.

Explanation:

The reason why both ways of writing the numbers as tens and ones describe the same number is because our counting system is essentially based on powers of ten. This powers-of-ten notation effectively means that each place in our numbering system is ten times greater than the place to its right. This principle all stems from human beings starting to count with their ten fingers.

For example, if we consider a number such as 34, this can be expressed as 3 tens and 4 ones. Alternatively, it could also be written in exponential notation as 3x10^1 + 4x10^0, which is still 34. This is because the power (exponent) of 10 correlates with the number of places the decimal point is shifted to give the digit number.

In scientific notation, this makes arithmetic simpler. To multiply two numbers expressed as powers of ten, you only need to multiply the numbers out front and then add the exponents. This way of counting and doing arithmetic is not only easier to write but also simplifies the multiplication and division of large and small numbers.

Learn more about Powers of Ten here:

brainly.com/question/13401005

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