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3 years ago

What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of 3/4?

Mathematics

2 answers:

olasank [31]3 years ago

6 0

The equation of the line that passes through the point (5, -4) and a slope of 3/4 is $y = \frac{3}{4} x - \frac{31}{4}$

garik1379 [7]3 years ago

4 0

First write the equation in point-slope form.

point slope : y - y1 = m (x - x1)

y - (-4) = 3/4 (x - 5)

Now simplify:

y + 4 = 3/4 (x - 5)
y + 4 = 3/4x - 3.75
y = 3/4 - 7.75

Hope this helps :)

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What is the value of x if OB is an angle bisector of

dangina [55]

Answer:

x = 8

Step-by-step explanation:

Hi there!

We're given that OB is the angle bisector of angle AOC.

An angle bisector splits an angle into 2 equal halves. Therefore, angles AOB and BOC are equal.

We're given that angle AOB is 8x degrees and angle BOC is 16x-64 degrees.

Set up an equation:

$8x=16x-64$

Combine like terms:

$-8x=-64\\x=8$

Therefore, x = 8.

I hope this helps!

4 0

3 years ago

Find the point at which the line with parametric equations x = 2 3t, y =-4t, z =5 t intersects the plane 4x 5y -2z=18

sashaice [31]

It looks like you have

$\begin{cases}x=2+3t\\y=-4t\\z=5+t\end{cases}$

Substituting these in to the plane equation, we have

$4x+5y-2z = 4(2+3t) + 5(-4t) - 2(5+t) = -2-10t = 18 \\\\ \implies-10t = 20 \implies t = -2$

When $t=-2$ , we get the point

$\begin{cases}x=2+3(-2)\\y=-4(-2)\\z=5+(-2)\end{cases} \implies (x,y,z) = \boxed{(-4,8,3)}$

4 0

2 years ago

MAX POINTS!

zheka24 [161]

Answer:

$\frac{200}{3}$ square units

Step-by-step explanation:

Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:

Set function equal to 0 and solve for x:

f(x) = 10 - $\frac{3}{4}$ x

0 = 10 - $\frac{3}{4}$ x

$\frac{3}{4}$ x = 10

x = $\frac{40}{3}$

This means that the base length of the triangle is also $\frac{40}{3}$ . Now that you have the height and base length, you can

Plug values into the formula for the area of a triangle:

The area of a triangle is $\frac{1}{2}$ × height × base

Height = 10, base = $\frac{40}{3}$

Area = $\frac{1}{2}$ × 10 × $\frac{40}{3}$

Area = 5 × $\frac{40}{3}$

Area = $\frac{200}{3}$

8 0

3 years ago

Georgia [21]

Formula of finding the distance : absolute value (x2-x1)^2 + (y2-y1)^2
Distance from house to school : (Under Absolute value) (x2-x1)^2 + (y2-y1)^2
( -4 - (-4) )^2 + (10 - 3 )^2 = 0 + 49 = Radical 49 = 7
Distance from house to grocery store : (using the same method) you get = Radical 1200 = 60
Distance from house to community center : (using the same method) =
Radical 85
Yes, the distance from her house to grocery store is greater then to community center

7 0

3 years ago

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Does 3,000mm equal 3m

aleksandr82 [10.1K]

Yes 3,000mm is equal to 3m

4 0

4 years ago

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