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Pachacha [2.7K]
3 years ago
10

A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be th

e area, in square inches , of the new rectangle in terms of x

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

Option (4)

Step-by-step explanation:

Area of a rectangle = Length × width

If the dimensions of the given rectangle is doubled,

Area of the new rectangle = 2(Length) × 2(width)

                                            = 4(Length × width)

                                            = 4(x)(x - 2)

                                            = 4[x² - 2x]

                                            = 4x² - 8x

Therefore, Option (4) will be the correct option.

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2. A two-stage rocket is in development. The required probability is for the overall rocket to be a minimum of 97% reliable for
ikadub [295]

Answer: The minimum reliability for the second stage be 0.979.

Step-by-step explanation:

Since we have given that

Probability for the overall rocket reliable for a successful mission = 97%

Probability for the first stage = 99%

We need to find the minimum reliability for the second stage :

So, it becomes:

P(overall reliability) = P(first stage ) × P(second stage)

0.97=0.99\times x\\\\\dfrac{0.97}{0.99}=x\\\\0.979=x

Hence, the minimum reliability for the second stage be 0.979.

4 0
3 years ago
I have a question and I cant seem figure it out. It says( Triangle ABC is a right triangle. Angle B is the right angle, side A i
pychu [463]

Answer:

you need to draw a triangle of given dimensions

Step-by-step explanation:

if B is right angle triangle then you can assume that either AB or BC is base and other one is perpendicular. So that makes AC hypotenuse

so let's assume BC is base of 6 cm. so draw a base of 6 cm line , name it BC

then draw a 90 degree angle on B keeping BC as Base . now length of perpendicular would be 4.5 cm. this perpendicular would be AB

no join A and C . length of AC should be 7.5 cm. if it's not then something is wrong in given question.

8 0
3 years ago
Roy and Sam start solving the equation as follows.
denpristay [2]

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

-3x+4=5x-6

According to the addition property of equality a=b and a+c=b+c are equivalent equations.

Use addition property of equality, add 3x on both the sides.

-3x+4+3x=5x-6+3x

4=8x-6

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality a=b and a-c=b-c are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

-3x+4-5x=5x-6-5x

-8x+4=-6

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

7 0
2 years ago
Linda is playing a game where she is trying to draw a diamond from a standard deck of cards. If she doesn't get a diamond, she r
atroni [7]

Answer:

The answer would be 0.2%

Step-by-step explanation:

There's 52 cards in a standard deck of cards and a set of 4 for each different symbol. 100% of the deck would be 52 cards and each deck has 4 suits and each suite has 13 cards and 75% of the cards aren't the diamond Linda is looking for so it would be a slim to none chance on pulling a diamond out of the deck and shuffling the deck each time makes it worse so it gives her like a 0.2% chance of pulling a diamond.

Hope this helps :))

7 0
2 years ago
Read 2 more answers
A part of exponential function fis graphed on the grid.
gtnhenbr [62]

The domain is the x-values used by the graph, so you want to see how your graph lines up with respect to the x-axis.

This graph starts out with an x-value of 2 (although it doesn't really use 2, since it's an open circle) and then continues to the right forever.

The domain is x > –2.

6 0
2 years ago
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