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3 years ago

Write the number 418,712,909 in word form

Mathematics

1 answer:

nordsb [41]3 years ago

7 0

Four-hundred and eighteen million, seven hundred and twelve thousand and nine hundred and nine

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What is the solution to 2 In x = 4 In 2?

Rina8888 [55]

Answer:

= 8 in.

Step-by-step explanation:

2in× = 4in²

2in× = 16in

divide both sides by 2.

= 8 in.

7 0

3 years ago

a counter top is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the counte

nekit [7.7K]

For the trapezoid, the equation used to solve for the area is,
A = (0.5)(b₁ + b₂)(h)
where b₁ and b₂ are the measure of the bases and h is the height. Substituting the known values above,
1224 = (0.5)(70.5 + 65.5)(h)
h = 18
Thus, the height of the counter top is 18 inches.

7 0

3 years ago

30 points I'm struggling Find the equations of each line and show all of your work. (1, 5) (2, 6) (1, 1) (3, -8) (2, -3) (5, -2)

Free_Kalibri [48]

Answer:

1.(1,5) and (2,6) , 6-5/2-1=1/1 m=1 ,y=1x+b

5=1(1)+b 4=b

y=x+4

2.(1,1) and (3,-8) -8-1/3-1=-9/2 m=-9/2 ,y=-9/2x+b

1=-9/2(1)+b b=11/2

y=-9/x+11/2

3.(2.-3) and (5,-2) m=1/3 ,y=1/3x+b

-3=1/3(2)+b -3=2/3+b

-3-2/3=b

b=-11/3

y=1/3x-11/3

4.(2,5)and (4,3) m=-1 y=-1x+b

5=-1(2)+b 5=-2+b

5+2=b

b=7

y=-1x+7

6.(-3,-5) and (-1,-3) m=2/2=1 y=1x+b

-5=1(-3)+b -5=-3+b

-5+3=b

-2=b

y=1x-2

Step-by-step explanation:

7 0

3 years ago

Which of the following is not part of the Triangle Proportionality Theorem?

natka813 [3]

Answer:

A. AA Similarity Theorem . True

B. Two sides divided proportionally. True

C. A parallel line to one side of a triangle. True

D. A perpendicular line to one side of a triangle. False

Step-by-step explanation:

The Triangle Proportionality Theorem says that if a line is parallel to one side of a triangle, then it splits the other two sides into proportional sections.

Now, here the given statements are:

<u>A. AA Similarity Theorem </u>

TRUE, as the angles opposite to equal sides are equal.

And if lines are divided proportionally, both the triangles are Similar by AA similarity theorem.

<u>B. Two sides divided proportionally. </u>

TRUE,as the other two sides of the triangle are divided proportionally by the parallel line.

<u>C. A parallel line to one side of a triangle. </u>

TRUE, as the parallel line divides the other two non- parallel sides in equal proportions.

<u>D. A perpendicular line to one side of a triangle.</u>

FALSE, this part is not required anywhere in the given theorem result.

3 0

3 years ago

Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.

mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

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7 0

1 year ago