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kap26 [50]
2 years ago
14

The blue graph is and the red graph is . Function was stretched vertically and reflected in the -axis to produce . Function is =

|| , as shown above.
Determine (−100) to the nearest whole number.

Mathematics
1 answer:
vodomira [7]2 years ago
7 0

Answer:

  g(-100) = -200

Step-by-step explanation:

Stretching f(x) vertically by a factor of k makes it be k·f(x). Reflecting that over the x-axis makes it be ...

  g(x) = -k·f(x)

When the stretch factor is 2, as here, the function becomes ...

  g(x) = -2|x|

For x = -100, the value of the stretched, reflected function is ...

  g(-100) = -2|-100| = -2(100)

  g(-100) = -200

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: Find the approximate perimeter of the isosceles triangle A OPD.
AleksAgata [21]

Answer:

24.98 units

Step-by-step explanation:

The picture of the question in the attached figure

we have the coordinates

P(1,-6),D(4,3),O(7,-6)

The perimeter of triangle OPD is equal to

P=OP+PD+OD

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance OP

we have

O(7,-6),P(1,-6)

substitute in the formula

d=\sqrt{(-6+6)^{2}+(1-7)^{2}}

d=\sqrt{(0)^{2}+(-6)^{2}}

d_O_P=6\ units

step 2

Find the distance PD

we have

P(1,-6),D(4,3)

substitute in the formula

d=\sqrt{(3+6)^{2}+(4-1)^{2}}

d=\sqrt{(9)^{2}+(3)^{2}}

d_P_D=\sqrt{90}\ units

step 3

Find the distance OD

we have

O(7,-6),D(4,3)

substitute in the formula

d=\sqrt{(3+6)^{2}+(4-7)^{2}}

d=\sqrt{(9)^{2}+(-3)^{2}}

d_O_D=\sqrt{90}\ units

step 4

Find the perimeter

P=6+\sqrt{90}+\sqrt{90}

P=6+9.49+9.49=24.98\ units

4 0
3 years ago
Rewrite 3^-4 without negative exponents
KengaRu [80]

Answer:

\frac{1}{3^{4} }

Step-by-step explanation:

5 0
2 years ago
Giving out Brainlist! Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height
Ulleksa [173]

Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and there are 4 legs on each table. He writes the expression 4(2x) + 4(x) to model his building plans. What does 2x represent?

2x represents the height of one kitchen table leg. 2x represents the total height of all four kitchen table legs. 2x represents the height of one coffee table leg.<span> 2x represents the total height of all four coffee table legs.</span>
8 0
3 years ago
⚠️HURRYPLEASE⚠️what procedure can be
KIM [24]

Answer:

multiplication

Step-by-step explanation:

540=a/11

you multiply by the reciprocal which would be 11/1

that then gives you 5940=a

4 0
3 years ago
Read 2 more answers
1.11(5) - 11(4) =
Natali5045456 [20]

Answer:

1) 11

2) -8

3) 30

15) 80x - 128

16) 138y

Step-by-step explanation:

For these problems, you will need to use either PEMDAS or distributive property.

PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.

Example of PEMDAS:

2) 8(-3 + 2)

Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.

-3 + 2 = -1 so the problem will now look like:

8 (-1)

Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:

8 × -1 = -8

-8

Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.

Example of distributive property:

2) 8(-3 + 2)

Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:

8 × -3 and 8 × 2

The problem should look like:

-24 + 16

Then solve:

-8

Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.

1)

11(5) - 11(4)

55 - 44

11

3)

6(9) - 4(6)

54 - 24

30

15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*

16(5x - 8)

80x - 128

*You can only combine like terms so this is fully simplified*

16)

23y(2 + 4)

46y + 92y

138y

5 0
3 years ago
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