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3 years ago

Which expression is equal to x−9x−4+x2−x+5x−4 ? x2−x−42x−8 x2−42x−8 x2−x−4x−4 x2−4x−4

Mathematics

1 answer:

Anna007 [38]3 years ago

7 0

The first person that answered is correct just let you know

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Rectangle ABCD is dilated to create rectangle A'B'C'D' . The width of rectangle ABCD is 12 feet. The width of rectangle A'B'C'D'

Ierofanga [76]

The area of rectangle A'B'C'D' is 32 square feet

Step-by-step explanation:

A dilation is a transformation that produces an image that is the

same shape as the original, but is a different size

A dilation stretches or shrinks the original figure

The figure and its image after dilation are similar

If two rectangles are similar, then

$\frac{w_{1}}{w_{2}}=\frac{l_{1}}{l_{2}}$ = constant ratio
$\frac{P_{1}}{P_{2}}=\frac{w_{1}}{w_{2}}$
$\frac{A_{1}}{A_{2}}=(\frac{w_{1}}{w_{2}})^{2}$

∵ Rectangle ABCD is dilated to create rectangle A'B'C'D'

∴ Rectangle ABCD is similar to rectangle A'B'C'D'

∵ The width of rectangle ABCD is 12 feet

∵ The width of rectangle A'B'C'D' is 8 feet

∴ $\frac{w_{1}}{w_{2}}=\frac{12}{8}$

- Simplify the ratio to its lowest term by divide up and down by 4

∴ $\frac{w_{1}}{w_{2}}=\frac{3}{2}$

∴ The scale factor of dilation is $\frac{3}{2}$

Let us use the rule of the similar rectangles above

∵ The area of rectangle ABCD is 72 square feet

∵ $\frac{A_{1}}{A_{2}}=(\frac{w_{1}}{w_{2}})^{2}$

∴ $\frac{72}{A_{2}}=(\frac{3}{2})^{2}$

∴ $\frac{72}{A_{2}}=\frac{9}{4}$

- By using cross multiplication

∴ $A_{2}$ × 9 = 72 × 4

∴ 9 $A_{2}$ = 288

- Divide both sides by 9

∴ $A_{2}$ = 32 feet²

∴ The area of rectangle A'B'C'D' = 32 feet²

The area of rectangle A'B'C'D' is 32 square feet

Learn more:

You can learn more about area of shapes in brainly.com/question/6530759

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

Please help me with this problem.

mariarad [96]

Answer:

$x^{\frac{8}{3}}y^{-\frac{5}{6}$

Step-by-step explanation:

Remember the rule for converting radicals and exponents into fractions. The power is the numerator of the fraction, and the nth root is the denominator of the fraction. Also, remember that dividing by an exponent means the exponent will be negative.

$\frac{\sqrt[3]{x^{8} } }{\sqrt[6]{y^{5} } } \\\\\frac{x^{\frac{8}{3} } }{y^{\frac{5}{6} } } \\\\x^{\frac{8}{3}}y^{-\frac{5}{6}$

8 0

4 years ago

What is Decrease 90 by 1/2

devlian [24]

Answer:

Step-by-step explanation:

$\frac{1}{2}$ × 90 = 45

Decrease means to subtract the amount by 45, then

90 - 45 = 45

8 0

3 years ago

Read 2 more answers

Jaime has a budget in which 1/4 of the money is for photocopying 3/7 of the money is for computer expenses and the rest of the m

Marat540 [252]

Let
x-------> Jaime budget
s------> fraction of Jaime budget for student tutors

we know that
x=(1/4)x+(3/7)x+s

3/7 is equal to-----> (3/7)*(2/2)----> 6/14
substitute
x=(1/4)x+(6/14)x+s
x=(7/14)x+s
s=x-(7/14)x
s=(7/14)x-------> (1/2)x------> half of the budget is for student tutors.

the answer is
half of the budget is for student tutors

6 0

3 years ago

Use the given parent function f(x) = [x] to graph g(x) = [x]+3

Brut [27]

Answer:

Shift the graph up 3 units.

8 0

3 years ago