Can you guys please help me? This is limited. (5v)^2/3 and the second one radical 10k

Please I need help!

Monica [59]

Answer:

1)

$\text{ Slope = -3}$

2)

$y+4=-\frac{7}{8}(x-7)$

3)

$y=-\frac{7}{8}x+\frac{17}{8}$

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

1)

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

$m=\frac{3-(-4)}{-1-7}$

Subtract. So, our slope is:

$m=\frac{7}{-8}=-7/8$

2)

Now, let's use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

$y-(-4)=-\frac{7}{8}(x-7)$

Simplify. So, our point-slope equation is:

$y+4=-\frac{7}{8}(x-7)$

3)

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

$y+4=-\frac{7}{8}x+\frac{49}{8}$

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

$y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}$

Subtract. So, our slope-intercept equation is:

$y=-\frac{7}{8}x+\frac{17}{8}$

And we're done!

7 0

3 years ago

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Isabelle plans to line her flower garden with a decorative border. Her flower bed is 60 inches by 78 inches. The border is sold

andrew11 [14]

Step-by-step explanation:

I guess, the flower bed is a true rectangle, right ?

so, then, the perimeter of that rectangle is

2×length + 2×width = 2×78 + 2×60 = 156 + 120 = 276 in.

1 ft = 12 in

276 in = 23 ft

she can only buy a bundle of 40 ft.

that means she will have

40 - 23 = 17 ft left.

5 0

2 years ago

WILL MARK BRAINLIEST TO QUICKEST ANSWER! PLEASE HURRY

Evgesh-ka [11]

There seems to be a flaw with this question because it says that there are five x-intercepts but the given information only gives you 4 x-intercepts to work with.

Even means the graph is symmetric about the y-axis

The best answer is <span>A.(–6, 0), (–2, 0), and (0, 0)

because you do not have to worry about another point (0,0). Plus we need (-6,0) for it to be symmetric with (6,0).

Consider function f(x) = x²(x-6)(x+6)(x+2)</span>²(x-2)<span>². It is even and fits these conditions as it has x-intercepts at (6,0), (-6,0), (-2,0), (2,0), and (0,0). again, the question does not tell us the fifth x-intercept, so we need to assume that there is another one that needs to be there...and so (-2,0) must have (2,0) for it to be even as well.</span>

4 0

2 years ago

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Working as a team 8 mathletes can solve 20 problems in ten minutes. At this same rate how many mathletes are needed in order to

emmainna [20.7K]

7 is the right answer(please rate 5.0 stars so i can help other people out thanks)

8 0

3 years ago

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Darren has gotten 2 offers for jobs in the alternative energy industry. offer #1 pays $31,000 per year with 2,000 raise each yea

katovenus [111]

Answer: Darren

A) Job Offer #1 would be better financially until job offer 2 (in 12 years) would be a better and have more income, so IMO job offer #1 would set you better off financially

B) it would take 12 years for job offer #2 to become a better offer (you can also express this in your own words if needed)

6 0

3 years ago