MATHEMATICS HIGH SCHOOL

For an arts and crafts project, a student cut a triangle out of a rectangular piece of paper. If the triangle has a base of 6 inches and a height of 8 inches, and the rectangle has a length of 11 inches and a width of 12 inches, what is the area of the leftover paper after the triangle is cut out

Answers

Answer 1

Answer: Area of left over paper=area of rectangle - area of triangle =132-24 =108inches^2

Answer 2

Answer:

Answer:

Area of left over paper=area of rectangle - area of triangle =132-24 =108inches^2

Step-by-step explanation:

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A pair of sneakers is regularly at $ 52. It is on sale for 15% off of the regular price, what is the sale price of the sneakers?

Factor completely 4x2 + 16x.
4(x2 + 4x)
x(4x + 16)
4x(x + 4)
Prime

Answers

The answer would be 4x(x + 4) because the gcf of 4x^2 + 16x is 4x and if you divide by the gcf you get 4x(x+4)

Answer:

The answer is C

Step-by-step explanation:

Complete the equation of the line through (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.

Answers

Answer:

$y = -2x - 8\nOR\n2x+y+8=0$

Step-by-step explanation:

Given that there are 2 points

$A(-8,8)$ and

$B(1,-10)$

So, the coordinates are:

$x_2 = 1\nx_1 = -8\ny_2 = -10\ny_1 = 8$

Equation of a line is given as:

$y =mx+c$

where 'm' is the slope of the line, formula for 'm' is given as:

$m=(y_2-y_1)/(x_2-x_1)$

$(x,y)$ are the points that satisfy the equation of the line.

$c$ is the $y -$ intercept.

Calculating the value of m using the given coordinates:

$m=(-10-8)/(1-(-8))\n\Rightarrow m=(-18)/(9) = -2$

So, the equation of line becomes:

$y =-2x+c$

Now, putting the coordinates of point $A(-8,8)$

$8 =-2* (-8)+c\n\Rightarrow 8 = 16+c\n\Rightarrow c = -8$

Please refer to the graph of given equation of line.

The equation of line is:

$y =-2x+-8\nOR\n2x+y+8=0$

Which parent functions have a domain of all real numbers?Linear
Absolute Value
Quadratic

Answers

The parent function of linear function has a domain of all real numbers option (A) Linear is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is:

Which of the following parent functions has a domain and range of all real:

Linear

Absolute Value

Quadratic

The linear function is:

f(x) = ax + c

Domain = all real numbers

Range = all real numbers

The absolute value function:

f(x) = |x|

Domain = all real number

Range = all positive real numbers

The quadratic function:

f(x) = ax² + bx + c

Domain = all real number

Range = all positive numbers

Thus, the parent function of linear function has a domain of all real numbers option (A) Linear is correct.

Learn more about the function here:

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#SPJ6

the parent function is the linear function

Emily has a coupon for 20 percent off her purchase. She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount. Emily says, "thirty percent and twenty percent make fifty percent so ur will cost $30. Is emy correct?

Answers

Answer: she is incorrect

Step-by-step explanation:

If Emily had a coupon for 20 percent off her purchase, this means that whatever she bought, the total amount would be reduced by 20%. She will be paying 80%

She finds a backpack she likes on the discount rack. It's original price is $60, but everything on the rack comes with a 30 percent discount.

This means that ordinarily,the amount she is meant to pay on the total goods she is buying is 30% lesser than $60. She will be paying

60 - (30/100 ×60)

60 - 0.3×60 = 60-18 = $42

Since she has a 20% coupon on total cost of goods bought, she would be paying

42 - (20/100 ×42)

42 - 0.2×42

= 42 - 8.4 = $33.6

Therefore,

If Emily says, "thirty percent and twenty percent make fifty percent so that her cost will be $30. She is incorrect. Her cost is $33.6

Answer:

she is incorrect.

Step-by-step explanation:

*****Write a polynomial using the roots -3,5i. PLEASE HELP IM SO LOST!!!

Answers

The polynomial $(x-a)$ has a unique root, $a$ , for any $a$ .

Hence $(x+3)(x-5i)$ is a polynomial with roots $-3$ and $5i$

If a material contains three elements joined in a fixed proportion, it is a(an)a. mixture.
b. solution.
c. atom.
d. compound

Answers

The answer is d. if they are chemically joined as a mixture is multiple element but they aren't chemically joined. And an atom is what the element is made of and a solution is not anything to do with joined elements

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