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2 years ago

Write an expression to represent the area of a right triangle with legs length as follow: 2x-2 and 4x+2

1 answer:

8 0

For Right angled triangle area
A=ab/2
(2x-2)(4x+2)/2
(8x^2+4x-8x-4)/2
(8x^2-4x-4)/2 take common term 2
2(4x^2-2x-2)/2
So A=4x^2-2x-2

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Monica bought a sweater for $48.00. A week later the sweater went on sale for 25% off the original price. If Monica needed to pa

IRINA_888 [86]

Answer:

A $12.84

Step-by-step explanation:

Sweater was originally $48.00 before tax. $48.00 x 7% tax rate (.07) = $3.36 in tax

So the sweater originally would've cost $48.00 + $3.36 = $51.36

The sale price was 25% off the $48.00. $48.00 x 25% (.25) = $12.00

Then you subtract the $12.00 from the $48.00 to get the new price of $36.00

Now that's before tax, so $36.00 x 7% tax rate (.07) = $2.52 in tax

So the sweater would cost on sale $36.00 + $2.52 = $38.52

To figure out how much she would've saved you subtract the sale price & tax from the original price & tax $51.36 - $38.52 = $12.84

8 0

1 year ago

Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?

sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have $V=IR^{2}$ and let $H$ be the subset of $V$ of all points on the line

$4x+3y=12$

We need to find if $H$ is a subspace of the vector space $V$ .

In $IR^{2}$ all the possibilities for own subspace of the vector space $IR^{2}$ are :

$IR^{2}$ itself.

The vector $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$

All lines in $IR^{2}$ that passes through the origin ( $0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]$ )

We know that $H$ is the subset of $IR^{2}$ of all points on the line $4x+3y=12$

If we look at the equation, the point $\left[\begin{array}{c}0&0\end{array}\right]$ doesn't verify it because :

$4x+3y=12\\4(0)+3(0)=12\\0=12$

Which is an absurd. Therefore, $H$ doesn't contain the origin (and $H$ is a line in $IR^{2}$ ). Finally, it can't be a vector space of $V=IR^{2}$

8 0

2 years ago

What is decrease £20 by 15%

Charra [1.4K]

$15\%\cdot\pounds20=0.15\cdot\pounds20=\pounds3\\
\pounds20-\pounds3=\pounds17$

3 0

2 years ago

Read 2 more answers

Select ALL the true statements.

ss7ja [257]

Answer:

Step-by-step explanation:

A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.

B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8

C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.

D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.

E. Two negative signs make a positive, so 72 + 100 is positive, not negative.

8 0

1 year ago

A stick is 9 m long. A rope is 2 times as long as the stick. If the rope is divided into 3 pieces, how many meters long is each

givi [52]

The length of rope(consist of 3 pieces)=9*2=18m
One piece=18/3=6m
Pls mark me as the Brainliest as I really need it!

6 0

2 years ago

Read 2 more answers