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2 years ago

Help me with this one please

Mathematics

1 answer:

lesya [120]2 years ago

5 0

For me, it’s easiest when i distribute the negative sign if i need to and then reorder to put the like terms together. and then solve.
(also sorry if it’s a little confusing with all the parentheses, i use them because it helps me organize everything)

21. (4x-9y) + (6x+10) + (8y-4)
= 4x + 6x - 9y + 8y + 10 - 4
= 10x - y + 6
—> D

22. (6x+9y-15) + (2x-9y+8)
= 6x + 2x + 9y - 9y - 15 + 8 (the 9y - 9y = 0, so you can leave it out of the final equation)
= 8x - 7
—> D

23. (9x^2-8x+3) - (5x^2-6x+4)
= 9x^2 - 8x + 3 - 5x^2 -(-6x) - 4
= 9x^2 - 5x^2 - 8x + 6x + 3 - 4 (remember that two - signs next to each other make a + sign)
= 4x^2 - 2x - 1
—> A

24. (9x^3-7x+8) - (5x^2+7x-10)
= 9x^3 - 7x + 8 - 5x^2 - 7x -(-10)
= 9x^3 - 5x^2 - 7x - 7x + 8 + 10
= 9x^3 - 5x^2 - 14x + 18
—> D

25. (6x+14y) - ((7x+5y) + (x-8y))
= (6x+14y) - (7x + x + 5y - 8y)
= (6x+14y) - (8x-3y)
= 6x + 14y - 8x -(-3y)
= 6x - 8x + 14y + 3y
= -2x + 17y
—> B

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A patio has an area of 1420 square feet. If the length is 45 1/2, what is the width

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[ Answer ]

$\boxed{Width \ = \ 31\frac{19}{91} \ Ft^{2}}$

[ Explanation ]

Area = 1420

Width = $45\frac{1}{2}$

Area For Rectangle: Length · Width

Use division to find width:

1420 ÷ $45\frac{1}{2}$

Convert mixed numbers to fractions:

1420 = $\frac{1420}{1}$

$45\frac{1}{2}$ = $\frac{91}{2}$

$\frac{1420}{1}$ ÷ $\frac{91}{2}$

Use mixed multiplication:

$\frac{1420*2}{1*91}$

= $\frac{2140}{91}$

Simplify:

= $31\frac{19}{91}$

$\boxed{[ \ Eclipsed \ ]}$

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3 years ago

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

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General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know $x = 6$ & $kx = 7.2$