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Nadya [2.5K]
2 years ago
11

A student writes the equation for a line that has a slope of -6 and passes through the point (2,-8).

Mathematics
2 answers:
Goshia [24]2 years ago
7 0

Answer:

y = kx+m is the linear equation

k: the slope

m: where the line crosses the y-axis

which gives

Step-by-step explanation:

y=-6x + m

insert the coordinates in the equation

-8 = -6 * 2 + m

-8 = -12 + m

m = -8 + 12

m = 4

--> ans: y = -6x + 4

Marrrta [24]2 years ago
7 0

Answer:

The student should have simplified the equation to have y + 8 on the left.

Then, the student should have subtracted 8 from both sides of the equation.

The value of b should be 4, not 20.

Step-by-step explanation:

Hope this helps!

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I promise I will mark as brainiest if a speed of a car increase its average speed in a journey of 200 miles by 5 mile/hour the j
jok3333 [9.3K]

Answer:

\large \boxed{\sf \ \ \ \dfrac{\sqrt{4025}-5}{2}=29.22144... \ \ \ }

Step-by-step explanation:

Hello

<u>Let's note the original speed of the car v</u>

it means that in 1 hour he is going v miles

so to go 200 miles it takes ( in hour)

\dfrac{200}{v}

If the speed of the car is v+5 than to go 200 miles it takes (in hour)

\dfrac{200}{v+5}

and this time is one hour less so we can write

\boxed{\sf \ \ \dfrac{200}{v+5}=\dfrac{200}{v}-1 \ \ }

We can multiply by v(v+5) both parts of the equation so

200v=200(v+5)-v(v+5)\\\\200v=200v+1000-v^2-5v\\\\v^2+5v-1000=0

\Delta=b^2-4ac=5^2+4*1000=4025\\\\ \text{There are potential solutions }\\\\\ \ \ \ \ x_1=\dfrac{-5-\sqrt{4025}}{2}\\\\\ \ \ \ \ x_2=\dfrac{-5+\sqrt{4025}}{2}

Only one is positive and this is is

x_1=\dfrac{\sqrt{4025}-5}{2}=29.22144...

So the original speed is 29.22144... mph

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
What is an equation of a parabola with a vertex at the origin and directrix x=4.75?
patriot [66]
An equation for the parabola would be y²=-19x.

Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis.  This means we will use the standard form

(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.

Beginning with the directrix:

x=h-p=4.75
h-p=4.75

Since the vertex is at (0, 0), this means h=0 and k=0:

0-p=4.75
-p=4.75
p=-4.75

Substituting this into the standard form as well as our values for h and k we have:
(y-0)²=4(-4.75)(x-0)
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3 years ago
Help me with question 21 to get brainliest
Andrej [43]

Step-by-step explanation:

We can call the original value x. In 2012, the painting's value was 1.05 x. In the beginning of 2013, the value was (1.05 x) * 0.98, and that increased to (1.05x) * 0.98 * 1.40 at the end of 2013. When we simplify, we get 1.4406 x as a value, and we know that this is equal to $52,640. We can write 1.4406x = 52640, and when we solve for x, we get x ≈ $36415.38. Hope this helps!

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2 years ago
what is consecutive whole numbers? I have to write an algebraic expression for the sum of three consecutive whole numbers... :(
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Answer:

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Eg: 1, 2, 3, 4, 5 are consecutive whole numbers.

Step-by-step explanation:

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or

let the three consecutive whole numbers is x, x+1,and x+2

x + x+1 + x+2 = 4+2(x+1)

3x+3=4+2x+2

3x-2x=6-3

x=3

the other two numbers are 3+1=4,and 3+2=5

so the three numbers are 3,4 and 5

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Answer:

Oliver's living expenses- 520(.1)=$52

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