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3 years ago

Use the given conditions to write an equation for the line in point-slope form.

Mathematics

1 answer:

Alex17521 [72]3 years ago

3 0

Step-by-step explanation:

Hey there!

The given slope is; 3. And passing through point (-7,8).

Now,

Using one point formula.

$(y - y1) = m(x - x1)$

Put all values to find equation.

$(y - 8) = 3(x + 7)$

Simplify them to get answer.

$(y - 8 )= 3x + 21$

$3x - y + 21 + 8 = 0$

$3x - y + 29 = 0$

Therefore the required equation is 3x-y+29=0.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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Find a solution of the quadratic equation.6x squared + 7x + 2 =0

worty [1.4K]

Given the equation:

$6x^2+7x+2=0$

We will use the following rule to find the solution to the equation:

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

From the given equation: a = 6, b = 7, c = 2

So,

$\begin{gathered} x=\frac{-7\pm\sqrt[]{7^2-4\cdot6\cdot2}}{2\cdot6}=\frac{-7\pm\sqrt[]{1}}{12}=\frac{-7\pm1}{12} \\ x=\frac{-7-1}{12}=-\frac{8}{12}=-\frac{2}{3} \\ or,x=\frac{-7+1}{12}=-\frac{6}{12}=-\frac{1}{2} \end{gathered}$

So, the answer will be option B) x = -1/2, -2/3

5 0

1 year ago

In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did

Gre4nikov [31]

Answer:

Hours slept = 6 hours

Hours awake = 18 hours

Step-by-step explanation:

Sasha got 1 hour of sleep for every 3 hours she was awake.

So,

<u>This means:</u>

Slept : Awake = 1 : 3

Total hours in a day = 24 hours

Hours slept = 1x and hours awake = 3x

<u>Hence,</u>

1x + 3x = 24 hours

4x = 24

Divide both sides by 4

x = 24 / 4

x = 6

Hours slept = 1(6) = 6 hours

Hours awake = 3(6) = 18 hours

$\rule[225]{225}{2}$

Hope this helped!

6 0

2 years ago

The circumference of a circular tabletop is 226. 08 inches. What is the area, in square inches, of the tabletop? *

Delicious77 [7]

Answer:

40,143.4 square inches

Step-by-step explanation:

c= 226.08

r= 113.04

area = Pi *r^2

3 0

2 years ago

What is the midpoint and distance between points P(3,5) and Q(7,5)

storchak [24]

The formula of a midpoint:

$M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points P(3, 5) and Q(7, 5). Substitute:

$x=\dfrac{3+7}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{5+5}{2}=\dfrac{10}{2}=5$

$d=\sqrt{(5-5)^2+(7-3)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4$

<h3>Answer:</h3><h3>Midpoint = (5, 5)</h3><h3>Distance = 4</h3>

4 0

3 years ago

5x+ 1/4= 61/4<br> I’m trying to figure out what x is

umka21 [38]

I READ IT WRONG AHH

Answer:

Step-by-step explanation:

5x + 1/4 = 61/4

-1/4 -1/4

5x = 15

/5 /5

x = 3

4 0

3 years ago

Read 2 more answers