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vampirchik [111]
3 years ago
15

Find the equation of the line in slope-intercept form. m = -4/7 through (14,3) ANSWER TODAY CORRECTLY AND I WILL GIVE YOU BRAINL

IEST
Mathematics
2 answers:
Sergio039 [100]3 years ago
5 0
I the. By shy yskskekeke
polet [3.4K]3 years ago
5 0

Answer:

y = (-4/7)x + 5

Step-by-step explanation:

We want the equation of a line in slope-intercept form y = mx + b.

Knowing that m = -4/7, we write y = (-4/7)x + b.

We know this line passes through (14, 3) and thus can substitute 14 for x and 3 for y in the above equation, obtaining:

3 = (-4/7)(14) + b

Solving for the y-intercept, b, we get

         

3 = -4(-2) + b, or

b = 5

Thus the desired equation is y = (-4/7)x + 5.

       

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A straight line intersects the curved graph y=x^2-4x at the point where x=-1 and x=-2. Work out the equation of the straight lin
mestny [16]
Y = -7x - 2 Use the two points given to find the slope (m) m = (y2 - y1) / (x2 - x1) m = ( 12-5 ) / (-2 - (-1)) m = -7 Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in. Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'. y = -7x + b 5 = -7(-1) + b b = -2 Final eqn: y = -7x - 2
7 0
3 years ago
Read 2 more answers
5. Which is the 8term of the geometric
anygoal [31]

Answer:

16

Step-by-step explanation:

the numbers are divided by 4 to form a sequence so 64 divided by 4 is 16

4 0
2 years ago
Point F' corresponds to point D. point E'. point F. point E.
Zepler [3.9K]

Answer:

  F' corresponds to point F

Step-by-step explanation:

When a point is the result of some transformation, we often designate that result using the base name of the original, with a prime (') added. In this case, we expect that F' is the transformation of point F.

__

<em>Comment on point naming</em>

Of course, points can be given any name you like. These conventions are adopted to aid in communication about transformations and correspondence between points. It would be unusual--even confusing, but not unreasonable, for point F' to correspond to point D, for example. In the case of certain transformations, point F' may actually <em>be</em> point D.

6 0
3 years ago
The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
What is .181818... as a fraction?
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181818/1000000. let me know if im wrong! <3
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