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4 years ago

8

10)

1 answer:

Flura [38]4 years ago

6 0

B. Would be your answer

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A number, y, is equal to the difference of a larger number and 3. The same number is one third of the sum of the larger

Mnenie [13.5K]

Answer:

Set the larger number as x

"<em>A number, y, is equal to the difference of a larger number and 3.</em>"

$y=x-3$

<u>You can rearrange this equation to find the matching answer choice:</u>

$y-x=-3\\x-y=3$

"<em>The same number is one third of the sum of the larger number and 9.</em>"

$y=\frac{1}{3} (x+9)$

<u>You can rearrange this equation to find the matching answer choice:</u>

$y=\frac{1}{3} x+3\\3y=x+9\\3y-x=9\\x-3y=-9$

5 0

3 years ago

Tammy owns a laptop computer she paid $1,200 for about two years ago. Today, she

Aleksandr-060686 [28]

Answer:

$Net\ Worth = \$2800$

Step-by-step explanation:

Net worth is calculated using;

$Net\ Worth = Assets - Debts$

In this question, we have:

$Laptop = \$1200$ --- 2 years ago

$Laptop = \$700$ --- presently

$Car = \$2900$

$Debt = \$800$

Only the current worth of the laptop will be considered;

So, we have:

$Assets = Laptop + Car$

$Assets = \$700 + \$2900$

$Assets = \$3600$

$Net\ Worth = Assets - Debts$

$Net\ Worth = \$3600 - \$800$

$Net\ Worth = \$2800$

8 0

3 years ago

How can you explain that 1/2 is larger than 1/4?

garri49 [273]

Answer:

1/2 is bigger

Step-by-step explanation

1/2 means it was split in 2 pieces

1/4 means it was split in four pieces

3 0

3 years ago

Read 2 more answers

line passes through the point (-3,-4) and its y-intercept is (o, -9). What is the equation of the line that is parallel to the f

12345 [234]

Answer:

$y=-\frac{5}{3}x-2$

Step-by-step explanation:

The first line has a slope of -5/3 found using the points in the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-9--4}{0--3}=\frac{-9+4}{0+3}=\frac{-5}{3}$

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form $y-y_1=m(x-x_1)$ .

$y--7=-\frac{5}{3}(x-3)\\y+7 = -\frac{5}{3}(x-3)\\y=-\frac{5}{3}x + 5 -7\\y=-\frac{5}{3}x-2$

7 0

3 years ago

A plot of land in the shape of a vertical ellipse has a pole at each focus. The foci are 8 feet from the center. If the plot of

PtichkaEL [24]

Answer:

1. B

2.C

Step-by-step explanation:

A plot of land in the shape of a vertical ellipse. The equation of the ellipse is

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1.$

If the foci are 8 feet from the center, then $c=8.$

If the plot of land is 34 feet across the vertical axis, then $2b=34\Rightarrow b=17.$

Use formula $c=\sqrt{b^2-a^2}$ (because ellipse is vertical, then b>a) to find a:

$8=\sqrt{17^2-a^2}\Rightarrow a^2=289-64=225,\ a=15.$

Then the plot of land is 2a=30 ft across the other axis.

If b>a, the eccentricity of the ellipse is

$e=\dfrac{c}{b}=\dfrac{8}{17}\approx 0.471.$

3 0

4 years ago